The indifference curves of U(x, y) = xy² will be concave and downward sloping. As we move away from the origin, the curves become flatter, indicating diminishing marginal rate of substitution.
Amy's utility level can be calculated by plugging in the values of X and Y into the utility function: U(2, 3) = 2 * 3² = 18.
The marginal utility of X (MUx) is the partial derivative of U with respect to X, which is MUx = y². The marginal utility of Y (MUy) is the partial derivative of U with respect to Y, which is MUy = 2xy. The marginal rate of substitution (MRS) is the ratio of MUx to MUy, which is MRS = MUx/MUy = (y²)/(2xy) = y/(2x).
The marginal utility of X when X = 2 and Y = 3 is MUx = y² = 3² = 9. The MRS at this consumption bundle is MRS = y/(2x) = 3/(2*2) = 3/4.
Graphically, the MRS represents the slope of the indifference curve at a particular point. Economically, MRS represents the rate at which a consumer is willing to substitute one good for another while maintaining the same level of utility.
As we move along an indifference curve from upper left to lower right, the MRS decreases.
Amy's budget constraint can be expressed as: PX * X + PY * Y = Income. Given PX = $1, PY = $2, and Income = $100, the budget line can be represented as: X + 2Y = 100. The x-intercept is 100 and the y-intercept is 50, and the slope is -1/2.
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Leary Chemical manufactures three chemicals: A, B, and C. These chemicals are produced via two production processes: 1 and 2. Running process 1 for an hour costs $4 and yields 3 units of A, 1 of B, and 1 of C. Running process 2 for an hour costs $1 and produces 1 unit of A and 1 of B. To meet customer demands, at least 10 units of A, 5 of B. and 3 of C must be produced daily. Graphically determine a daily production plan that minimizes the cost of meeting Leary Chemical’s daily demands.
The optimal production plan to minimize the cost of meeting Leary Chemical's daily demands is: 1 hour of process 1, 4/3 hours of process 2. Thus, the daily cost = $4.22.
To determine the daily production plan that minimizes the cost of meeting Leary Chemical’s daily demands graphically, we need to follow these steps:
Step 1: We must convert the above problem to an LP problem. The linear programming model for the above problem is given as:Let X1 = number of hours the process 1 is run per day.Let X2 = number of hours the process 2 is run per day.Objective Function: Minimize Cost Z = 4X1 + X2.Constraints: 3X1 + X2 ≥ 10 (for A)X1 + X2 ≥ 5 (for B)X1 + X2 ≥ 3 (for C)X1, X2 ≥ 0 (Non-negativity constraints)
Step 2: Draw the feasible region using the above constraints. Below is the graph of feasible region.
Step 3: Using the objective function and the feasible region, find the corner points of the feasible region.(0, 10), (1, 4), and (5/3, 4/3)
Step 4: Substitute the corner points into the objective function. Then, select the solution which yields the minimum value of Z. The minimum value of Z = $4(1) + $4/3(5/3) = $4 + $20/9 = $4.22.
Hence, the optimal production plan to minimize the cost of meeting Leary Chemical's daily demands is: 1 hour of process 1, 4/3 hours of process 2. Thus, the daily cost = $4.22.
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Calculate the amount to be capitalised in respect of capital work in progress during 2021. Question 6 - IFRS 9 FINIANCIAL INSTRUMENTS On 1 January 2018, TLC bought a GHS100,000 5% bond for GHS95,000, incurring issue costs of GHS2,000. Interest is received in arrears. The bond will be redeemed at a premium of GHS5,960 over nominal value on 31 December 2020. The effective rate of interest is 8%. The fair value of the bond was as follows: 31 December 2018 GHS110,000 31 December 2019 GHS104,000 Required: Explain, with calculations, how the bond will be accounted for over all the relevant years if: (a) TLC planned to hold the bond until the redemption date. (b) TCL may sell the bond if the possibility of an investment with a higher return arises. (c) TLC planned to trade the bond in the short-term, selling it for its fair value on 1 January 2019.
(a) TLC planned to hold the bond until the redemption date:
In this case, the bond will be accounted for as a financial asset measured at amortized cost under IFRS 9. The bond is initially recognized at its purchase price, including any transaction costs incurred. Subsequently, the carrying amount of the bond is adjusted for the amortization of the premium and recognition of interest income.
Initial Recognition (1 January 2018):
Bond investment (financial asset) GHS95,000
Transaction costs GHS2,000
Cash (outflow) GHS97,000
Subsequent Measurement and Recognition of Interest Income:
Year 2018:
Interest income (5% * GHS100,000) GHS5,000
Bond investment (financial asset) GHS5,000
Cash (received in arrears) GHS5,000
Year 2019:
Interest income (5% * GHS100,000) GHS5,000
Bond investment (financial asset) GHS5,000
Cash (received in arrears) GHS5,000
Year 2020:
Interest income (5% * GHS100,000) GHS5,000
Bond investment (financial asset) GHS5,000
Cash (received in arrears) GHS5,000
Redemption (31 December 2020):
Cash (redemption amount) GHS105,960
Bond investment (financial asset) GHS100,000
Premium on redemption GHS5,960
Gain on redemption (income) GHS960
(b) TCL may sell the bond if the possibility of an investment with a higher return arises:
In this case, the bond will be accounted for as a financial asset measured at fair value through profit or loss (FVPL) under IFRS 9. The bond will be initially recognized at fair value, and subsequent changes in fair value will be recognized in the income statement.
Initial Recognition (1 January 2018):
Bond investment (financial asset) GHS110,000
Cash (outflow) GHS110,000
Subsequent Measurement and Recognition of Fair Value Changes:
Year 2018:
Fair value change (GHS110,000 - GHS95,000) GHS15,000
Bond investment (financial asset) GHS15,000
Year 2019:
Fair value change (GHS104,000 - GHS110,000) GHS-6,000
Bond investment (financial asset) GHS-6,000
Redemption (31 December 2020):
Cash (redemption amount) GHS105,960
Bond investment (financial asset) GHS100,000
Premium on redemption GHS5,960
Gain on redemption (income) GHS960
(c) TLC planned to trade the bond in the short-term, selling it for its fair value on 1 January 2019:
In this case, the bond will be accounted for as a financial asset measured at fair value through profit or loss (FVPL) under IFRS 9. The bond will be initially recognized at fair value, and subsequent changes in fair value will be recognized in the income statement.
Initial Recognition (1 January 2018):
Bond investment (financial asset) GHS110,000
Cash (outflow) GHS110,000
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Solver The ABC Furniture Company produces sofas, tables, and chairs at its plant in Greensboro, North Carolina. The plant uses three main resources to make furniture-wood, upholstery, and labor. The resource requirements for each piece of furniture and the total resources available weekly are as follows: Resource Requirements Furniture Product Wood(lb) Upholstery(yd) Labor (hour) Sofa 6 10 5 Table 5 0 3 Chair 4 3 Total available resources 2020 1100 1080 The furniture is produced on a weekly basis and stored in a warehouse until the end of the week, when it is shipped out, however the warehouse has limited capacity of storing furniture. The warehouse can hold 600 pieces of table or chair, or 200 pieces of sofa (That is to say, a sofa takes up three times as much space as a table or chair). Each sofa earns $400 in profit, each table, $290, and each chair, $180. The company wants to know how many pieces of each type of furniture to make per week in order to maximize profit.
The ABC Furniture Company wants to make as much money as possible, so it calculates the best production rates for chairs, tables, and sofas for the resources.
The ABC Furniture Company must decide how many couches, tables, and chairs to make each week in order to maximise profits. By creating an optimisation problem based on the provided limitations and profit margins, this can be accomplished.
Each item of furniture's material requirements are listed: wood (in pounds), fabric (in yards), and labour (in hours). There is also information about the weekly total of resources available. When establishing the manufacturing quantities, these resource constraints must be taken into consideration.
Additionally, there isn't much room in the warehouse to store furniture. It can accommodate either 200 sofas or 600 tables and chairs. The production numbers are impacted by this restriction because a couch requires three times the area of a table or chair.
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books, an online book retailer, has two operating departments-corporate sales and consumer sales-and two support departments-human resources and information systems. Each sales department conducts merchandising and marketing operations independently.I-books uses number of employees to allocate human resources costs and processing time to allocate information systems costs. The controller of I -books reads a widely used textbook that states that "the reciprocal method is conceptually the most defensible." He seeks your assistance. The following data are available for September 2013 EEB (Click the icon to view the data.) (Click the icon to view the direct allocation data.) (Click the icon to view the step-down allocation data.) Requirements 1. Describe the key features of the reciprocal method 2. Allocate the support departments' costs (human resources and information systems) to the two operating departments using the reciprocal methoo 3. In the case presented in this exercise, which method (direct, step-down, or reciprocal) would you recommend? Why? Requirement 1. Describe the key features of the reciprocal method Interdepartmental relationships are The reciprocal allocation method explicitly includes the mutual services provided among all support departments fully incorporated into the support department cost allocations. Requirement 2. Allocate the support departments'costs (human resources and information systems) to the two operating departments using the reciprocal method Before we can allocate the support departments' costs to the two operating departments using the reciprocal method, let's first determine the linear equations for each support department. Then off-line solve for HR and IS (Information Systems), so that you may complete the allocation of the support departments' costs (Abbreviations used: HR human resources; IS-information system.) HR- $75,000+0.10000 IS IS$230,000 0.20000 HR Now allocate the support departments' costs (human resources and information systems) to the two operating departments using the reciprocal method. (Round proportions to five decimal places, .XxXXX, and your final answers to the nearest whole dollar. Use parentheses or a minus sign when decreasing departments by allocating costs. Enter a "O" for zero balances.) Support Deparments Operating Departments HR Info. Systems Corporate Consumer Total Costs incurred Allocation of HR costs Allocation of Info. Systems costs Total budgeted costs of operating departments
It considers the services provided by both service departments to each other and also provides a more accurate way of allocating costs to production departments.
Reciprocal method is the technique of allocating costs of service departments to the production departments in a more accurate manner. This method recognizes the fact that service departments render service to each other. These service departments render support service to the production department as well. The key features of the reciprocal method are as follows: Interdepartmental relationships are fully incorporated into the support department cost allocations. The allocation of service departments costs is done in a simultaneous manner. Service departments costs are apportioned based on each department's contribution to other service departments as well as to the production departments. This method is quite complicated, as it requires multiple calculations. The following are the steps for allocating the support departments' costs (human resources and information systems) to the two operating departments using the reciprocal method: To begin with, it is necessary to determine the linear equations for each support department. After that, off-line solve for HR and IS so that the support departments' costs can be allocated. Allocation of support departments costs should be done simultaneously. Allocate the costs of Human Resources and Information Systems departments to each other. Allocate costs to the operating departments, consumer, and corporate departments. Using the reciprocal method, the allocation of support departments' costs is as follows: For the HR department, its own costs will be $75,000, and its cost allocation to the IS department will be 0.20. And the cost allocation of the IS department to the HR department will be 0.10, with a total cost of $230,000.For the Information Systems department, its own costs will be $230,000, and its cost allocation to the HR department will be 0.10. And the cost allocation of the HR department to the IS department will be 0.20, with a total cost of $75,000.Allocate the cost of each support department to both the consumer and corporate departments. For HR, the cost allocation will be $24,000 for the Consumer department and $36,000 for the Corporate department. For Information Systems, the cost allocation will be $23,500 for the Consumer department and $56,500 for the Corporate department.The allocation of support departments' costs to the two operating departments using the reciprocal method is as follows:Corporate Department: $68,138Consumer Department: $30,362Therefore, in the case presented in this exercise, I would recommend the reciprocal method. Because it considers the services provided by both service departments to each other and also provides a more accurate way of allocating costs to production departments.
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many states try to distinguish between
deliquent offenders and status offenders for
what reason?
The reason why many states try to distinguish between delinquent offenders and status offenders is that: they have different needs and require different approaches to address their problems. What are delinquent offenders? Delinquent offenders are minors who commit crimes.
These types of offenders are usually dealt with in the juvenile justice system. They require a more severe approach to be addressed. Juvenile justice systems in various states are designed to respond to criminal behavior, including detention centers, youth boot camps, counseling, and rehabilitation. What are status offenders? On the other hand, status offenders are minors who commit offenses that are not considered criminal offenses if they were committed by an adult.
These offenses are often referred to as "status offenses" because they are only illegal because of the juvenile's status as a minor. Examples of status offenses include truancy, running away from home, curfew violations, and possession of alcohol or cigarettes. In conclusion, many states try to distinguish between delinquent offenders and status offenders because of the different needs and approaches that are required to address their problems.
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please answer question below. thanks
All of the following are examples of potential e-health applications, except: A. Bedside nursing OB. Patient education OC. Appointment scheduling OD. Personal health record
E-health is defined as the use of digital technology and communication to manage or deliver healthcare services. In recent years, e-health has gained widespread acceptance and application, transforming the healthcare industry in various ways.
One of the benefits of e-health is that it enables patients to access healthcare services remotely, especially in cases of emergencies, without leaving the comfort of their homes. E-health applications provide patients with real-time access to physicians, enabling them to get treatment and advice from anywhere in the world.
Aside from remote care, e-health applications also offer other services, such as appointment scheduling, patient education, and personal health record management. However, not all healthcare applications can be classified as e-health applications.
Bedside nursing OB is not an example of a potential e-health application. Bedside nursing OB is a traditional healthcare service that involves taking care of patients in the hospital. It does not rely on digital technology or communication to manage or deliver healthcare services.
Patients can now use appointment scheduling, patient education, and personal health record management applications to manage their healthcare needs with greater ease and efficiency. Personal health record applications enable patients to store and manage their health records electronically. With these applications, patients can monitor their health conditions, receive reminders for medical appointments and drug prescriptions, and keep track of their medical history.
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Determine the value of cash given the following
information: cash ratio = 2; cash equivalents = $600 ; current
liabilities = $800.
The value of cash can be determined by using the cash ratio and considering the amount of cash equivalents and current liabilities. In this scenario, the cash ratio is given as 2, cash equivalents amount to $600, and current liabilities are $800.
The cash ratio is a financial metric that measures the proportion of a company's cash and cash equivalents to its current liabilities. It indicates the ability of a company to cover its short-term obligations using its available cash resources.
To calculate the value of cash, we can multiply the cash ratio by the current liabilities. In this case, the cash ratio is given as 2, and the current liabilities are $800. Multiplying these values gives us $1,600, which represents the value of cash needed to cover the current liabilities.
Additionally, we are given that the cash equivalents amount to $600. Cash equivalents are highly liquid assets that are easily convertible into cash. Therefore, we can add the value of cash equivalents ($600) to the previously calculated value of cash ($1,600). The total value of cash would be $2,200 ($1,600 + $600).
Hence, based on the given information, the value of cash would be $2,200, taking into account the cash ratio, cash equivalents, and current liabilities.
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If the MPC is 0.5 and the equilibrium GDP is $80 billion below the full-employment GDP, then the size of the recessionary expenditure gap is
Multiple Choice
$40 billion.
$80 billion.
$160 billion.
$20 billion.
A). The size of the recessionary expenditure gap is:
MPC x Gap = 0.5 x $80 billion = $40 billion.
Therefore, the correct answer is $40 billion.
The MPC (marginal propensity to consume) refers to the increase in consumer spending for every additional unit of income earned. A value of 0.5 means that for every $1 increase in income, consumers will spend $0.50 and save the other $0.50.
Equilibrium GDP refers to the level of output where aggregate demand (total spending in the economy) equals aggregate supply (total output produced). Full-employment GDP, on the other hand, refers to the level of output where all available resources in the economy are being utilized.
If the equilibrium GDP is $80 billion below the full-employment GDP, it means that there is a recessionary expenditure gap in the economy. This gap represents the difference between the level of spending needed to achieve full employment and the current level of spending in the economy.
To calculate the size of the recessionary expenditure gap, we need to multiply the MPC by the size of the gap. In this case, the gap is $80 billion.
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Pacey, an insurance agent, is told by his employer at his annual review meeting that he needs to "boost his sales of insurance policies in the next quarter by 50%." To meet this goal, Pacey decides to blackmail several people that he knows. He threatens to expose their secrets unless they purchase an insurance policy from him. Someone reports Pacey to the police and he's arrested and charged with blackmail.
Is Pacey's employer liable for his criminal act?
a.)Yes, the employer is vicariously liable for the crime and for any tort suits related to the crime.
b.)Yes, the employer is vicariously liable according to the "zone of risk" test.
c.)Yes, the employer is directly liable.
d.)No, the employer is not liable because it did not authorize a criminal act.
No, the employer is not liable for Pacey's criminal act of blackmail because it did not authorize or encourage the illegal behavior. The correct option is d.
In this scenario, Pacey, an insurance agent, resorts to blackmail to meet his employer's sales targets. However, the employer cannot be held liable for Pacey's criminal act. The principle of vicarious liability generally holds employers responsible for the actions of their employees if those actions occur within the course and scope of their employment. However, in this case, Pacey's blackmail activities were not authorized, encouraged, or part of his job responsibilities. The employer's request to boost sales does not justify or imply criminal behavior, and it is reasonable to assume that the employer did not condone such actions.
Vicarious liability typically applies when the employee's wrongful actions occur within the "zone of risk" created by their employment. However, in this scenario, the employer's request to increase sales does not create a zone of risk that includes criminal behavior. Blackmailing individuals is illegal and unrelated to the insurance business. Therefore, the employer cannot be held vicariously liable according to the "zone of risk" test.
In conclusion, the employer is not liable for Pacey's criminal act of blackmail because it did not authorize or encourage the illegal behavior, and the act itself falls outside the scope of the employer's reasonable expectations for increasing sales.
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The best test from the options below to tap into middle childhood participantsă ability to retrieve information from long term memory and manipulate it would be the a. troop Test b. Mental Fusion Task c. Visual Decision Span Task d. Decision Making
The best test from the options provided to tap into middle childhood participants' ability to retrieve information from long-term memory and manipulate it would be the Visual Decision Span Task.
The Visual Decision Span Task would be the most suitable test among the options given to assess middle childhood participants' ability to retrieve information from long-term memory and manipulate it. This task typically involves presenting visual stimuli or information to the participants and requiring them to make decisions based on that information while also holding it in their working memory.
The Troop Test and Decision Making are not specific to assessing the retrieval and manipulation of information from long-term memory. The Mental Fusion Task, on the other hand, focuses on assessing the ability to integrate and combine mental representations, which is not directly related to the retrieval and manipulation of information from long-term memory.
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Zero Ltd. plans to sell 10,000 purple uniforms during April, 11,200 during May, and 10,000 during June. The company keeps 15% of the next month’s sales as ending inventory. How many uniforms should Zero produce during May?
Group of answer choices
11,020
11,380
Not enough information to determine.
12,700
The answer is option D) 12,700. To determine how many uniforms Zero should produce during May, we need to calculate the number of uniforms that will be sold as well as the number that will be kept in ending inventory.
Sales for May = 11,200 uniforms
Ending inventory for May = 15% of June's sales = 0.15 x 10,000 = 1,500 uniforms
Total demand for May (sales + ending inventory) = 11,200 + 1,500 = 12,700 uniforms
To meet this demand, Zero should produce 12,700 - 10,000 = 2,700 purple uniforms during May.
Therefore, the answer is option D) 12,700.
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If an airport accepts federal funds, does it have to follow
federal procurement policies to expand that money on airport
development projects?
If an airport accepts federal funds, it has to follow federal procurement policies to expand that money on airport development projects.
Federal funds are funds that come from the federal government for specific purposes. It can be given to non-profit organizations, state and local governments, and individuals for a variety of purposes, including educational, scientific, and infrastructure-related endeavors.What are Federal procurement policies?Federal procurement policies are the rules and procedures that govern how the federal government purchases goods and services.
These policies are designed to ensure that all government purchases are made in a fair and transparent manner, without any favoritism or bias towards any particular vendor or supplier.Federal procurement policies are used to ensure that all purchases made by the federal government are of the highest quality and value for money. These policies help to ensure that all purchases are made in accordance with federal law and regulations, as well as in a way that promotes competition and transparency.
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Application 15. Use Okun's law formula to calculate the GDP Gap, given that Actual GDP = $650 b Unemployment rate = 9% Natural rate of unemployment = 5% Show all your work (4 marks) Note: Okun Law GDP X {(unemployment - natural rate)X 2} divided by 100 Unemployment rate =(number of unemployed divided by labor force) X 100 16 If $15 000 in cash is deposited in a bank that is part of a multibank system with a reserve ratio of 5 percent, how much could be created in (a) New deposits (3 marks) (b) New money? (3 marks)
Given: Actual GDP = $650 billion Unemployment rate = 9% Natural rate of unemployment = 5% Therefore, the new money that can be created is $285,000.
Using Okun's law formula:
GDP Gap = GDP x ((Unemployment rate - Natural rate of unemployment) x 2) / 100
Substituting the values:
GDP Gap= $650 billion x ((9% - 5%) x 2) / 100
GDP Gap = $650 billion x (4% x 2) / 100
GDP Gap = $650 billion x 8% / 100
GDP Gap = $650 billion x 0.08
GDP Gap = $52 billion
Therefore, the GDP Gap is $52 billion.
For question 16:
(a) New deposits:
The reserve ratio is 5%, so the bank is required to keep 5% of the deposited amount as reserves and can lend out the remaining.
The amount available for lending = $15,000 - (5% of $15,000)
Amount available for lending = $15,000 - ($15,000 x 5%)
The amount available for lending = $15,000 - $750
Amount available for lending = $14,250
Therefore, the new deposits that can be created are $14,250.
(b) New money:
The money multiplier is the inverse of the reserve ratio. In this case, the reserve ratio is 5%, so the money multiplier is 1/0.05 = 20.
New money = Amount available for lending x Money multiplier
New money = $14,250 x 20
New money = $285,000
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Question C2: What is the nature of the agency problem relation to football referees? What are its potential implications for football? Do you think the effects associated with this agency problem are sizeable? What policies are used to mitigate these effects? [25 marks]
The agency problem in relation to football referees refers to the potential conflict of interest and lack of accountability that can arise between referees and the teams they officiate.
The agency problem in football refereeing has the potential to disrupt fair competition and affect the overall credibility of the sport. To mitigate the effects of the agency problem, various policies and measures are implemented. These include:
Training and education: Referees undergo training programs to enhance their decision-making skills, knowledge of the rules, and ethical conduct. This helps to reinforce their independence and minimize biases.
Code of conduct and ethics: Referees are expected to adhere to a code of conduct and ethics, which includes impartiality, fairness, and transparency in their decision-making.
Technology and video assistance: The use of technology, such as video assistant referees (VAR), helps in reviewing and rectifying critical decisions, reducing the potential for human error or bias.
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The most important "hold box" in the consumer-buying model is? the one following purchase and preceding post-purchase the one following information search and preceding alternative evaluation O the one following alternative evaluation and preceding purchase O the one following problem recognition and preceding information search O no hold box is more important than any other hold box
The hold box following alternative evaluation and preceding purchase is the most important stage in the consumer-buying model. It is the final stage where the consumer makes the decision to purchase, and as such, marketers need to focus their efforts on this stage to ensure that their product or service is chosen by the consumer.
The most important "hold box" in the consumer-buying model is the one following alternative evaluation and preceding purchase. This hold box is crucial because it is the stage where the consumer is making the final decision about which product or service to purchase. During this stage, the consumer evaluates the alternatives and makes a decision based on various factors such as price, quality, and personal preferences. The decision made during this stage will ultimately lead to the purchase of the chosen product or service.
While all the hold boxes in the consumer-buying model are important, this particular hold box is critical because it determines whether the consumer will actually make a purchase or not. It is the stage where the consumer has narrowed down their choices and is making the final decision. As such, marketers need to focus on this stage to ensure that their product or service stands out from the competition and appeals to the consumer's needs and preferences.
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assume+drummond+company+has+an+roe+=+10.2%,+a+profit+margin+=+3.5%,+and+a+total+asset+turnover+ratio+=+2.6.+what+is+drummond's+equity+multiplier+(em)?+enter+your+answer+to+two+decimal+places.
Drummond's equity multiplier (EM) is 1.12.
Assuming that Drummond Company has an ROE of 10.2%, a profit margin of 3.5%, and a total asset turnover ratio of 2.6, we can calculate the equity multiplier (EM) using the following formula:
EM = ROE / (1 - ROE x total asset turnover)
Substituting the given values, we get:
EM = 0.102 / (1 - 0.102 x 2.6)
Simplifying the expression:
EM = 0.102 / (1 - 0.2652)
EM = 0.102 / 0.7348
EM = 0.1389 (rounded to four decimal places)
Therefore, Drummond Company's equity multiplier is 0.14 (rounded to two decimal places).
In a long answer, we can further explain that the equity multiplier measures the degree of financial leverage used by a company. It shows how much a company relies on debt to finance its assets. A higher equity multiplier indicates that the company is using more debt to finance its operations, which increases the risk for the company's shareholders. In this case, Drummond Company has an equity multiplier of 0.14, which suggests that it relies more on equity financing than debt financing.
To calculate Drummond Company's equity multiplier (EM), we can use the DuPont formula, which links return on equity (ROE), profit margin, total asset turnover, and the equity multiplier:
ROE = (Profit Margin) x (Total Asset Turnover) x (Equity Multiplier)
We are given the following information:
ROE = 10.2%
Profit Margin = 3.5%
Total Asset Turnover = 2.6
Let's rearrange the DuPont formula to solve for the equity multiplier:
Equity Multiplier = ROE / (Profit Margin x Total Asset Turnover)
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Based on sales forecasted for the year 4 (with seasonal effect), the company need to buy raw materials (laptop plastic cases) from supplier. Price of plastic case is RM20/pc. Ordering costs are RM 120. For holding cost, the supplier agreed to give 25% discount from the value of the inventory. The company has 250 working days per year, and the lead time is 5 days. Determine the Economic Order Quantity, Reorder point and Total annual cost.
Economic Order Quantity, Reorder point, and Total annual costThe Economic Order Quantity (EOQ) is the optimum order quantity, which minimizes the total annual cost (TAC) of ordering and carrying inventory. EOQ is given by the formula EOQ = √(2DS/H), where D represents the annual demand of the item.
S represents the ordering cost, and H represents the holding cost. In this case, the company has 250 working days per year and a lead time of 5 days. Therefore, the annual demand is given by D = (sales forecast per year)/ (no. of days worked in a year) = (Sales forecast in year 4)/ 250.
With a price of RM20/pc and ordering costs of RM120, S = RM120. For holding costs, the supplier agreed to give 25% discount from the value of the inventory, so H = 25/100 * RM20 = RM5. The EOQ is EOQ = √(2DS/H) = √(2*250*(Sales forecast in year 4)/250/RM5) = √(100* (Sales forecast in year 4)/RM5) = 20√(Sales forecast in year 4).The Reorder Point (ROP) is the inventory level at which an order should be placed to replenish the inventory.
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Consider the Boeing 737Max crisis. What was the general
perception by the industry players on accidents like this?
The 737Max crisis involved two accidents that happened in a period of fewer than five months. The accidents led to the deaths of a total of 346 people. These accidents caused a significant impact on the aviation industry, and several industry players reacted in various ways to the crisis.
The general perception by the industry players on accidents like this was a keen interest in safety and quality control measures in the aviation sector.
The first reaction of the industry players was to ground all 737 Max aircraft. Airlines and regulatory agencies around the world also stopped the use of 737 Max aircraft. The manufacturers then took responsibility and began to investigate the issue. Boeing conducted thorough investigations and undertook steps to enhance safety features on their aircraft. Industry players also initiated an analysis of the processes, standards, and measures that govern the aviation sector.
Moreover, the public perception on accidents like this was also negative. The public questioned the safety measures of the aviation sector and scrutinized the entire supply chain of the sector. This led to increased demands for transparency, accountability, and information-sharing from the aviation sector. The industry players then began to implement better transparency and communication measures, sharing relevant information and ensuring that everyone was updated on the progress made in investigating the 737Max crisis.
In conclusion, the 737Max crisis prompted industry players to assess their operations and reassess their processes to ensure safety and quality control measures. The crisis led to significant changes in the aviation sector, and industry players realized the importance of prioritizing safety and transparency in all aspects of their operations.
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Imagine that the firm is forced to offer rebates to low-income
customers. What will happen to the firm’s profits? Discuss the
direction of change in price and quantity.
2.
This analysis assumed th
If a firm is forced to offer rebates to low-income customers, it is likely to experience a decrease in profits. Offering rebates would involve reducing prices or providing discounts to the targeted customers, which would directly impact the firm's revenue. The reduction in prices would lead to lower profit margins per unit sold.
Additionally, the firm may also experience an increase in quantity demanded due to the reduced prices. This could be a result of low-income customers being more willing and able to purchase the product with the rebate in place. However, the increase in quantity may not fully compensate for the decreased profit margins, ultimately resulting in a net decrease in profits.
The direction of change in price would be downwards, as the rebates would require the firm to reduce prices. The direction of change in quantity would likely be upwards, but the magnitude of the increase may not be sufficient to offset the decrease in profits caused by the rebate program.
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X-Tech Inc. produces specialized bolts for the aerospace industry. The operating cost of producing a single bolt is $2. The company currently sells the bolts for $6/unit. Each time the company arranges to sell a batch, it incurs a fixed cost of $20. This fixed cost mainly includes administrative expenses. The volume of sales is primarily dependent on the price of the product. The manager has come up with the following relationship between demand (volume) and price: Volume = 500 – 25*price.
Determine the optimal price and optimal volume that will result in the maximum profit. Solve the problem using Excel solver.
Due to marketing and competitive considerations, X-Tech decided to limit its price to $8. State the non-linear programming formulation of this problem, and solve it.
Repeat part b by changing the restriction on price from a maximum of $8 to a maximum of $14.
a) The optimal price for maximum profit is $5, and the corresponding volume is 375 units.
b) What is the price and volume combination that maximizes profit?
To determine the optimal price and volume that result in maximum profit, we need to formulate and solve a non-linear programming problem using Excel Solver.The profit per unit can be calculated by subtracting the operating cost of $2 from the selling price. The total revenue is obtained by multiplying the price by the volume. The total cost includes the fixed cost of $20 and the variable cost per unit multiplied by the volume.
By maximizing the profit, we set up the objective function as Maximize Profit = Total Revenue - Total Cost. We also include the constraint that limits the price to $8.Using Excel Solver, we can input the objective function, constraints, and the relationship between volume and price. By solving the problem, we find that the optimal price for maximum profit is $5, and the corresponding volume is 375 units.
Non-linear programming is a mathematical optimization technique used to solve problems where the objective function or constraints involve non-linear relationships. In this case, the objective is to maximize profit, and the constraint limits the price. By formulating the problem and utilizing tools like Excel Solver, the optimal price and volume can be determined to achieve the maximum profit.
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2-Employee relations is more comprehensive and includes all
aspects of HRM where employees are dealt with collectively. T/F
False. it is false to claim that employee relations is more comprehensive and includes all aspects of HRM. Rather, employee relations is a subset of HRM that specifically addresses the management of employee relationships within an organization.
Employee relations is a specific aspect of HRM that focuses on managing the relationship between employers and employees individually or collectively. It encompasses activities such as addressing employee grievances, negotiating collective bargaining agreements, promoting employee engagement, and maintaining a positive work environment. However, it is not accurate to say that employee relations is more comprehensive than HRM or includes all aspects of business.
Human Resource Management (HRM) is a broader discipline that encompasses various functions related to managing an organization's workforce. It includes activities such as recruitment and selection, training and development, performance management, compensation and benefits, and employee relations.
Employee relations, on the other hand, focuses specifically on fostering positive relationships between employers and employees and managing issues that arise in the employment relationship.
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Comparative financial statement data for Carmono Company follow: This Year Last Year Assets Cash and cash equivalents Accounts receivable Inventory Total current assets Property, plant, and equipment s 13.00 25.00 65.00 107.80 197.80 216.00 40.80 175.20 $373.00 72.00 120.00 205.00 264.00 54.40 209.60 $414.60 Less accumulated depreciation Net property, plant, and equipment Total assets Liabilities and Stockholders' Equity Accounts payable Common stock Retained earnings ş 72.00 57.00 124.00 192.00 $373.00 162.00 180.60 $414.60 Total liabilities and stockholders' equity For this year, the company reported net income as follows: $1,400.00 840.00 560.00 Sales Cost of goods sold Gross margin Selling and administrative expenses Net income 540.00 $ 20.00 This year Carmono declared and paid a cash dividend. There were no sales of property, plant, and equipment during this year. The company did not repurchase any of its own stock this year. Required: 1. Using the indirect method, prepare a statement of cash flows for this year 2. Compute Carmono's free cash flow for this year Complete this question by entering your answers in the tabs below Required 1Required 2 Using the indirect method, prepare a statement of cash flows for this year. (List any deduction in cash and cash outflows as negative amounts. Round your intermediate calculations and final answers to 2 decimal places.) Carmono Company Statement of Cash Flows For This Year Ended December 31 Operating activities 0.00 0.00 Investing activities: 0.00 Financing activities 0.00 0.00 Beginning cash and cash equivalents Ending cash and cash equivalents 0.00 Required 2> < Required 1 Complete this question by entering your answers in the tabs below. 1 Required 2 Required 1 Compute Carmono's free cash flow for this year. (Negative amount should be indicated by a minus sign. Round your intermediate calculations and final answer to 2 decimal places.) ree cash flow Required 2> Required 1
1:Using the indirect method, prepare a statement of cash flows for this year For the year ended December 31, 2019, using the indirect method, the statement of cash flows is as follows: Carmono Company Statement of Cash Flows For This Year Ended December 31 .
Operating activities Net income $540 Adjustments to reconcile net income to net cash provided by operating activities: Depreciation expense$15Increase in accounts receivable$(10) Decrease in inventory$45 Increase in accounts payable$8Decrease in retained earnings$(80)Net cash provided by operating activities$518 Investing activities: Sale of equipment$0Purchase of equipment$(45)Net cash used in investing activities$(45)Financing activities: Issuance of common stock$18Payment of dividends$(58)Net cash used in financing activities$(40)Increase in cash and cash equivalents$433Beginning cash and cash equivalents$72 Ending cash and cash equivalents$505Required 2:Compute Carmono's free cash flow for this year The formula for free cash flow is: Free Cash Flow = Net Cash from Operating Activities - Capital Expenditures Free cash flow for this year is computed as follows: Free Cash Flow = Net Cash from Operating Activities - Capital Expenditures Free Cash Flow = $518 - (-$45)Free Cash Flow = $563
Using the indirect method, prepare a statement of cash flows for this year: Operating activities Net income $540Adjustments to reconcile net income to net cash provided by operating activities: Depreciation expense $15Increase in accounts receivable $(10)Decrease in inventory $45 Increase in accounts payable $8Decrease in retained earnings $(80)Net cash provided by operating activities $518 Investing activities: Sale of equipment $0Purchase of equipment $(45)Net cash used in investing activities $(45) Financing activities: Issuance of common stock $18Payment of dividends $(58)Net cash used in financing activities $(40)Increase in cash and cash equivalents $433Beginning cash and cash equivalents $72Ending cash and cash equivalents $505.
1. Using the indirect method, prepare a statement of cash flows for this year For the year ended December 31, 2019, using the indirect method, the statement of cash flows is as follows: Carmono Company Statement of Cash Flows For This Year Ended December 31Operating activities Net income $540Adjustments to reconcile net income to net cash provided by operating activities: Depreciation expense $15Increase in accounts receivable $(10)Decrease in inventory $45Increase in accounts payable $8Decrease in retained earnings $(80)Net cash provided by operating activities $518Investing activities: Sale of equipment $0Purchase of equipment $(45)Net cash used in investing activities $(45)Financing activities: Issuance of common stock $18Payment of dividends $(58)Net cash used in financing activities $(40)Increase in cash and cash equivalents $433Beginning cash and cash equivalents $72Ending cash and cash equivalents $5052. Compute Carmono's free cash flow for this year The formula for free cash flow is: Free Cash Flow = Net Cash from Operating Activities - Capital Expenditures Free cash flow for this year is computed as follows: Free Cash Flow = Net Cash from Operating Activities - Capital Expenditures Free Cash Flow = $518 - (-$45)Free Cash Flow = $563
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Consider the three functions of money discussed in class: medium of exchange, unit of account, and store of value. Choose one function and describe what it means. What would economic transactions be like without this function? Would life be better or worse?
A medium of exchange is a function of money that allows it to be used for buying and selling goods and services. Without this function, economic transactions would be more challenging as direct barter would be the primary method of exchange. Life would be more cumbersome and less efficient without a widely accepted medium of exchange.
How does the medium of exchange function of money facilitate economic transactions?Money serves as a universally accepted medium that allows individuals to trade goods and services without the need for direct barter. Instead of having to find someone who wants what you have and has what you want, you can exchange your goods or services for money, which can then be used to acquire other goods or services from anyone willing to accept it.
The medium of exchange: Money as a medium of exchange solves the problems associated with the coincidence of wants in barter systems. It provides a common measure of value that simplifies transactions and promotes economic efficiency. With a medium of exchange, individuals can specialize in producing goods or providing services they are best at, knowing that they can use the money received to obtain the things they need or desire from others.
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On February 1, 2015, Marsh Contractors agreed to construct a building at a contract price of
€5,800,000. Marsh estimated total construction costs would be €4,000,000 and the project would be finished in 2017. Information relating to the costs and billings for this contract is as follows: 2015 2016 2017
Total costs incurred to date
€1,500,000
€2,640,000
€4,600,000
Estimated costs to complete
2,500,000
1,760,000
-0-
Customer billings to date
2,200,000
4,000,000
5,600,000 Collections to date
2,000,000
3,500,000
5,500,000
Instructions
Fill in the correct amounts on the following schedule. For percentage-of-completion accounting and for cost-recovery accounting, show the gross profit that should be recorded for 2015, 2016, and 2017.
Percentage-of-Completion Cost-Recovery Gross Profit Gross Profit 2015 2015
2016 2016
2017 2017
Percentage-of-Completion: Gross Profit 2015: €150,000 Gross Profit 2016: €340,000Gross Profit 2017: €400,000 Cost-Recovery: Gross Profit 2015: €0 Gross Profit 2016: €0Gross Profit 2017: €0
Under the percentage-of-completion method, the gross profit is recognized proportionally based on the progress of the contract. It is calculated by multiplying the percentage of costs incurred to date by the total estimated gross profit. In this case, the percentage of costs incurred in 2015 is 37.5% (€1,500,000 / €4,000,000), resulting in a gross profit of €150,000 (37.5% * €400,000). Similarly, the gross profit for 2016 and 2017 is calculated based on the percentage of costs incurred to date in each year. On the other hand, under the cost-recovery method, no gross profit is recognized until the total costs incurred exceed the total estimated costs. In this case, the total estimated costs are €4,000,000, and the costs incurred in each year do not exceed this amount. Therefore, no gross profit is recognized in any of the years.These calculations reflect the different approaches to recognizing revenue and gross profit in long-term construction contracts. The percentage-of-completion method recognizes revenue and gross profit over the life of the contract based on the progress of completion, while the cost-recovery method defers revenue recognition until the costs incurred exceed the estimated costs.
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Under GAAP, revenues are recognized when they are earned and expenses are accounted for when they are incurred, even though cash inflows or outflows may not have occurred. This type of accounting is called ___ accounting. O money basis O ex post basis O accrual basis O cash basis
Under GAAP (Generally Accepted Accounting Principles), revenues are recognized when they are earned and expenses are accounted for when they are incurred, regardless of whether cash inflows or outflows have occurred. This type of accounting is called accrual basis accounting.
Accrual basis accounting focuses on the matching principle, which aims to match revenues with their related expenses in the same accounting period to provide a more accurate representation of a company's financial performance and position. It recognizes economic events when they occur, rather than when cash is received or paid. With accrual accounting, revenues are recognized when the goods or services are provided to customers, and the company has an unconditional right to receive payment. Expenses are recognized when goods or services are received from suppliers or when an obligation is incurred, regardless of when the actual payment is made. Accrual basis accounting provides a more comprehensive view of a company's financial activities by reflecting the timing and economic impact of transactions, even if the cash flows associated with those transactions occur at a different time.
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Identify the true statement. a. Microsoft Outlook Calendar (shared by employees in an organizational unit) is a perfect example of a DSS (Decision Support System) software. b. Transient data is stored permanently. Procter & Gamble are the top ERP vendors. c. For a large firm to have a chance of success at its ERP implementation, the organization's top management must emphasize the Enterprise in ERP (during the ERP planning and implementation stages).
The true statement is "For a large firm to have a chance of success at its ERP implementation, the organization's top management must emphasize the Enterprise in ERP (during the ERP planning and implementation stages)."
The following are the meanings of the options mentioned in the question:a. Microsoft Outlook Calendar (shared by employees in an organizational unit) is a perfect example of a DSS (Decision Support System) software - This is false because it is a software that facilitates email management and scheduling.b. Transient data is stored permanently. Procter & Gamble are the top ERP vendors - This is false because transient data is temporary and Procter & Gamble is a consumer goods corporation, not an ERP vendor.
c. For a large firm to have a chance of success at its ERP implementation, the organization's top management must emphasize the Enterprise in ERP (during the ERP planning and implementation stages) - This statement is true because it emphasizes the importance of top management's support and commitment to the ERP system in ensuring its success.
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You invest $100 into an account that gains interest at an annual
simple interest rate of j. After 7 years, there is $160 in
the account. What is j? Round to the nearest .xx%.
To determine the annual simple interest rate (j), we can use the formula for simple interest: Interest = Principal × Rate × Time. In this case, the principal (P) is $100, the time (T) is 7 years, and the interest (I) is $160 - $100 = $60.
Using the formula, we can rearrange it to solve for the rate (j):
Rate = Interest / (Principal × Time) = $60 / ($100 × 7) = 0.0857.
To convert this decimal rate to a percentage, we multiply by 100: 0.0857 × 100 = 8.57%.
Rounding to the nearest .xx%, we find that the annual simple interest rate (j) is approximately 8.57%.
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Hy Marks buys a one-year government bond on January 1, 2018, for $500.00. He receives principal plus interest totaling $522.50 on January 1, 2019.
Suppose that the CPI is 200.0 on January 1, 2018, and 206.0 on January 1, 2019. This increase in prices is different than Hy had anticipated; his guess was that the CPI would be at 200.0 by the beginning of 2019. The nominal interest rate is ▢ %. (Enter your answer as a percentage rounded to one decimal place.)
The nominal interest rate is ▢ %. The actual inflation rate is ▢ %.
The real interest rate is ▢ as Hy's expected inflation rate was ▢ a Hy's expected real interest rate was ▢
The nominal interest rate is 4.5%.
The actual inflation rate is 3.0%.
The real interest rate is 1.5% as Hy's expected inflation rate was 0.0%, and Hy's expected real interest rate was 4.5%.
The term "nominal" can have different meanings depending on the context. In general, it refers to something existing in name or form but may not necessarily reflect the actual or true value or characteristics. In finance and economics, nominal often describes values that are not adjusted for inflation or other factors. For example, nominal GDP represents the total value of goods and services produced in an economy without accounting for inflation. Similarly, nominal interest rates do not consider the impact of inflation. Nominal can also refer to the face value or stated value of a financial instrument, such as a stock or bond, before considering factors like market fluctuations or discounts.
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Explain why Harvard University, a tax-exempt investor, should be
concerned with changes in dividend policy on common shares using
Black & Scholes (1973) and any other applicable literature.
Harvard University, a tax-exempt investor, should be concerned with changes in dividend policy on common shares using Black & Scholes (1973) and any other applicable literature because it can affect the stock price and value of the university's investments.
Investment decisions made by investors, including tax-exempt ones like Harvard University, are usually based on the value of their investment. The value of their investment is largely determined by the stock price of the company that they invested in. The stock price is influenced by many factors, one of which is the dividend policy of the company.
The Black & Scholes (1973) model is a mathematical formula used to determine the value of a stock option based on certain assumptions. This model assumes that a stock's price is affected by five main factors: stock price, exercise price, time to expiration, risk-free interest rate, and volatility. The dividend yield is not directly included in the Black & Scholes (1973) formula. However, it is indirectly included in the calculation of stock price volatility.
The value of a company's dividend policy to investors lies in the idea that, when a company pays out dividends to its shareholders, it is sending a signal to the market about the company's future prospects. A company that pays out dividends is signaling to the market that it has enough cash to share with shareholders, and that it is confident about its future prospects.
In contrast, a company that reduces its dividend or stops paying dividends altogether is signaling to the market that it is experiencing financial difficulties, which can lead to a decline in the company's stock price.
Therefore, Harvard University should be concerned with changes in dividend policy on common shares using Black & Scholes (1973) and any other applicable literature because it can affect the stock price and value of the university's investments.
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Firm Catabet Ltd. has the production function: Q2 = (L K)/3.9 where Q is output quantity. Catabet wants to produce as much as it can, subject to the constraint that it must hire a fixed amount of capital: 400. Output quantity Q and labour L can vary. The price of each unit sold is £1. The wage, and the cost of hiring a photocopier, are both £10. Write an equation for profit. Find the first derivative d(profit) dL Set this first derivative to zero, to find the optimal L. Type your calculation of L in this box:
The answer is L = 0.902 * 400L = 361.25This is the optimal value of L that maximizes profit.
The equation for profit, considering the price of each unit sold is £1 is given by:P = Q - wL - rk, where P is profit, w is the wage, L is labor, r is the cost of hiring a photocopier and k is fixed capital.In this case, w = r = 10Therefore, P = Q - 10L - 400Now, Q2 = (LK) / 3.9We need to maximize Q, subject to the constraint that K = 400Therefore, we need to find the value of L that maximizes Q.We have Q2 = (L * 400) / 3.9Q = (400L) / 3.9Q = 102.6LThus, P = 102.6L - 10L - 400P = 92.6L - 400dP / dL = 92.6Setting this equal to zero, we have:92.6 = 0.0 + (dQ / dL) * 1Substituting in dQ / dL = 102.6, we have:92.6 = 102.6dL / dLdL = 92.6 / 102.6dL = 0.902Since L is a variable, it is not unit specific. Therefore, the answer is L = 0.902 * 400L = 361.25This is the optimal value of L that maximizes profit.
Therefore, the long answer for the given problem is:The equation for profit, considering the price of each unit sold is £1 is given by:P = Q - wL - rk, where P is profit, w is the wage, L is labor, r is the cost of hiring a photocopier and k is fixed capital. In this case, w = r = 10Therefore, P = Q - 10L - 400Now, Q2 = (LK) / 3.9We need to maximize Q, subject to the constraint that K = 400Therefore, we need to find the value of L that maximizes Q.We have Q2 = (L * 400) / 3.9Q = (400L) / 3.9Q = 102.6LThus, P = 102.6L - 10L - 400P = 92.6L - 400dP / dL = 92.6Setting this equal to zero, we have:92.6 = 0.0 + (dQ / dL) * 1Substituting in dQ / dL = 102.6, we have:92.6 = 102.6dL / dLdL = 92.6 / 102.6dL = 0.902Since L is a variable, it is not unit specific.
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