A company produces two products, A and B, which have profits of $9 and $7, respectively. Each unit of product must be processed on two assembly lines, where the required production times are as follows. Product Hours/Unit Line 1 Line 2 A 12 4 B 4 8 Total hours 60 40 a) Formulate a linear programming model to determine the optimal product mix that will maximize profit. b) Transform this model into standard form.
Answers
Answer:
Following are the solution to the given question:
Explanation:
The decision variable of the green is defined in the given graph:
unit production of [tex]A = X_1[/tex]
unit production of [tex]B = X_2[/tex]
The objective function of the yellow is defined in the given graph:
maximize profit:
[tex]\to 9X_1 + 7X_2[/tex]
Using the excel: [tex]C10 = SUM(C8:C9)[/tex]
Constraints:
1)
For Line 1: maximum 60 hours
[tex]\to 12X_1 + 4X_2 \leq 60, \ \ in \ excel: D4 \leq 60[/tex]
2)
For Line 2: maximum 40 hours
[tex]\to 4X_1 + 8X_2 \leq 40, in\ \ excel: F4 \leq 40[/tex]
3) [tex]X_1,X_2 \geq 0[/tex]
by solve the value we get [tex]X_1 = 4, X_2 = 3,[/tex] maximum profit [tex]= 57[/tex]
For point b:
[tex]maximize: 9X_1 + 7X-2\\\\subject\ \ to:\\\\12X_1 + 4X_2 \leq 60\\\\4X_1 + 8X_2 \leq 40\\\\X1,X2 \geq 0[/tex]
Related Questions
Luke sold a building and the land on which the building sits to his wholly owned corporation, Studemont Corp., at fair market value. The fair market value of the building was determined to be $380,000; Luke built the building several years ago at a cost of $357,500. Luke had claimed $81,000 of depreciation expense on the building. The fair market value of the land was determined to be $280,000 at the time of the sale; Luke purchased the land many years ago for $193,500. Luke's brother will use the building in his business.
a. What is the amount and character of Luke's recognized gain or loss on the building?
b. What is the amount and character of Luke's recognized gain or loss on the land?
Answers
The balance sheet value of a firm's inventory is $70,000. Suppose that the firm purchases supplies at a cost of $2,000 and adds them to inventory. A day later, the market value of the recently purchased supplies changes to $3,500. Assuming no other changes to inventory, and using the historical cost method, what is the final balance sheet value of inventory?
Answers
Answer:
$72,000
Explanation:
Since it is given in the question that the inventory of firm in the balance sheet is $70,000 and the purchase cost of supplies is $2,000 that is added in inventory.
Also the market value of the inventory I.e currently purchased is $3,500 which represent that it changes rapidly
Here by using the historical method, the final amount if inventory that should be reported in the balance sheet is
= Value of the firm's inventory + Purchase cost of supplies
= $70,000 + $2,000
= $72,000
In the business cycle, which term best fits the labeled point on the graph?
A. Trough
B. Contraction
C. Peak
D. Expansion
Answers
Answer:A. Trough
Explanation:
In the business cycle, the term that best fits the labelled point on the graph is called the trough. The correct option is a.
What is a trough?A trough, in economic terms, can refer to a stage in the business cycle where activity is bottoming, or where prices are bottoming, before a rise. The business cycle is the upward and downward movement of gross domestic product and consists of recessions and expansions that end in peaks and troughs.
A trough is marked by conditions like higher unemployment, layoffs, declining business sales and earnings, and lower credit availability. After the trough, recovery and expansion begin. The actual trough can only be identified in hindsight. The business cycle moves in five phases: expansion, peak, contraction, trough, and recovery. The trough is the bottoming process of moving from contraction, or declining business activity, to recovery, which is increasing business activity.
Economists use several metrics to track the economic cycle throughout its various phases.
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SWOT analysis provides managers with an uncritical view of the organization's internal and external environments and helps them evaluate the firm's fulfillment of its basic objectives.
a. True
b. False
Answers
Burkhardt Corp. pays a constant $15.25 dividend on its stock. The company will maintain this dividend for the next 9 years and will then cease paying dividends forever. If the required return on this stock is 9.2 percent, what is the current share price
Answers
Answer:
$90.69
Explanation:
Current share price can be determined by calculating the present value of the cash flows
Present value is the sum of discounted cash flows
Present value can be calculated using a financial calculator
Cash flow in year 1 to 9 = 15.25
I = 9.2
PV = 90.67
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
The per-unit standards for direct labor are 1.5 direct labor hours at $15 per hour. If in producing 3600 units, the actual direct labor cost was $74400 for 4800 direct labor hours worked, the total direct labor variance is $3600 unfavorable. $6600 unfavorable. $1800 unfavorable. $6600 favorable.
Answers
Answer:
See below
Explanation:
Given the above information, the total direct labor variance is computed as;
Total direct labor variance = Standard cost - Actual cost
Standard cost = 3,600 units × 1.5 × $15 = $81,000
Actual cost = $74,400
Total direct labor variance = $81,000 - $74,400
Total direct labor variance = $6,600 Favourable
Ryan Campbell has invested in a fund that will provide him a cash flow of $11,700 for the next 20 years. If his opportunity cost is 8.5 percent, what is the present value of this cash flow stream?
Answers
Answer:
PV= $110,721.04
Explanation:
Giving the following information:
Annual payment= $11,700
Number of periods= 20 years
Interest rate= 8.5%
To calculate the value of the payments today (PV), we need to use the following formula:
PV= A*{(1/i) - 1/[i*(1 + i)^n]}
PV= 11,700*{(1/0.085) - 1/ [0.085*(1.085^20)]}
PV= $110,721.04
The area of accounting aimed at serving the decision-making needs of internal users is: Group of answer choices External auditing. SEC reporting. Managerial accounting. Financial accounting.
Answers
Answer:
Managerial accounting
Explanation:
Managerial accounting can be regarded as accounting practice involving identification as well as measurement and interpretation of financial information and communication of it to managers so that it can be used to achieve organization's goals. It should be noted that the The area of accounting aimed at serving the decision-making needs of internal users is Managerial accounting
The costs of materials consumed in producing good units in the Forming Department of Thomas Company were $76,000 and $77,350 for September and October, respectively. The number of equivalent units produced in September and October was 800 tons and 850 tons, respectively. Evaluate the change in the cost of materials between the two month
Answers
Answer and Explanation:
The computation of the evaluation of change in the cost of materials between the two month is given below;
The Cost per unit in September is
= 76,000 ÷ 800
= $95 per unit
And,
Cost per unit in October = $77,350 ÷ 850
= $91 per unit
Now
Cost per unit of materials has been decreased in October by $4 per unit or instead of is by
= (4 ÷ 95 × 100)
= 4.21% .
. Problems and Applications Q4 Many observers believe that the levels of pollution in our society are too high. True or False: If society wishes to reduce overall pollution by a certain amount, it is efficient to have firms with highest profit bearing the largest burden of reducing pollution and firms with lowest profit bearing the least burden. True False Why are command-and-control approaches generally unable to target the firms that should undertake bigger reductions
Answers
Answer:
If society wishes to reduce overall pollution by a certain amount, it is efficient to have firms with highest profit bearing the largest burden of reducing pollution and firms with lowest profit bearing the least burden. FALSE.
If society wishes to reduce pollution then the companies that are more efficient at reducing pollution should be the ones that reduce more. In other words, the companies that incur less cost when reducing pollution should reduce more pollution and those that incur more cost should reduce less.
Why are command-and-control approaches generally unable to target the firms that should undertake bigger reductions?
b. Command-and-control approaches often rely on uniform reductions among firms.
c. There is no incentive to reduce pollution beyond the mandated amount.
Command and control approaches usually use uniform reductions across firms so the firms that need to reduce more pollution are not targeted and end up reducing the same amount of pollution as others.
This problem can be surmounted by offering incentives to the companies that should reduce more pollution so that they reduce more than they are meant to but since no incentives are offered, these companies simply reduce what they are told to reduce and nothing more.
What is Walmart's Times Interest Earned Ratio for the year of 2018 (round it to 3 numbers after the decimal point -> 0.581)
Answers
Answer:
17.10 times
Explanation:
Complete word "Walmart's reported the following amounts on its 2018 income statement E(Click the icon to view the amounts.) What is Walmart's times-interest-earned ratio for 2018? (Round to two decimals.) Times-interest-earned ratio X Data Table Year Ended December 31, 2018 42,000 Net income 6,300 Income tax expense 3,000 Interest expense Print Done"
EBIT = Net Income + Interest expenses + Income tax expense
EBIT = $42,000 + $3,000 + $6,300
EBIT = $51,300
Times Interest Earned Ratio = EBIT / Interest Expenses
Times Interest Earned Ratio = $51,300 / $3,000
Times Interest Earned Ratio = 17.10 times.
A buyer uses a periodic inventory system, and on December 5, it purchases $4,000 of merchandise on credit terms of 2/10, n/30. Complete the journal entry by selecting the account names from the drop-down menus and entering the dollar amounts in the debit or credit columns.Date Account Title Debit Credit Dec. 15
Answers
Answer and Explanation:
The journal entry is shown below:
On dec 5
Purchase Dr $4,000
To account payable $4,000
(being inventory purchase on account is recorded)
Here the inventory is to be debited as it increased the assets and credited the account payable as it also increased the liabilities
When creating a budget, you need to account for fixed expenses. What is an example of a fixed expense?
Ο Α. .
utility payments
OB.
rent
Ос.
entertainment
OD
car repairs
Answers
Answer:
B) Rent
Explanation:
Expenses that do not change from month to month are fixed. Expenses that can fluctuate from month to month are variable.
Rent is usually based on agreement where the lease says the specific fixed amount to be paid each month. The rest of the expenses listed such as utility bills, entertainment, and car repairs can vary based on how much light you use, how many nights you go out for drinks or how many fixes your car needs...
When creating a budget, you need to account for fixed expenses. Rent is an example of a fixed expense. The correct option is B. Regardless of production output, fixed costs remain the same. Payments for insurance, rent or lease, and interest are examples of fixed costs.
Why is rent expense a debit?Rent expense is an example of an expense, so it is a debit in accounting. Due to the fact that a debit entry is used to journalize the increase in the account's value, all expenses are considered debit accounts under debit and credit rules.
Car payments, rent or mortgage payments, insurance premiums, and property taxes are examples of common fixed expenses. These costs are typically difficult to change. They are paid regularly and typically remain the same, so they are advantageously simple to budget for.
Thus, the ideal selection is option B.
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Why can we be confident that the market for college education is competitive and that an increase in demand rather than the greed of college administrators is the reason for the ongoing rise in tuition? We can be confident that the market for college education is competitive and that an increase in demand rather than the greed of college administrators is the reason for the ongoing rise in tuition for all of the following reasons except _______.
Answers
Question Completion:
A. if college administrators raised the tuition with no change in supply, a surplus of college places would be created at the higher tuition, and the tuition would start to fall
B. the law of demand does not hold
C. more than 4,500 public and private 2-year and 4-year schools supply college education services
D. an increase in demand raises the tuition and increases the enrollment, which accurately describes the market for college education
Answer:
We can be confident that the market for college education is competitive and that an increase in demand rather than the greed of college administrators is the reason for the ongoing rise in tuition for all of the following reasons except _______.
B. the law of demand does not hold
Explanation:
The law of demand implies that the price of a good or service responds to the level of demand. In other words, higher demand increases the price, while lower demand reduces the price. This implies that without the higher demand for college education, college administrators will not be able to sustain an increase in tuition. Therefore, an increase in the demand for college education will lead to increased enrollment, which spurs college administrators to raise tuition.
State 3 advantages in setting up a business in Maldives?
Answers
Answer:
1. No restrictions on sending their earning profit to their own country
2. It takes maximum of 30 days to complete the entire process of company registration in Maldives
3. The government encourages projects that are environmentally friendly
Giả sử Công ty TNHH Đông Đô mua 1 bản quyền công nghệ
sản xuất dứa quả xuất khẩu của Nhật Bản với giá là 500.000USD (tỷ
giá 16.000VNĐ/USD) tính ra bằng 800 triệu VNĐ, thanh toán theo
hình thức thư tín dụng (L/C) thông qua Ngân hàng Ngoại thương Việt
Nam, thuế nhập khẩu 10% và thuế GTGT hàng nhập khẩu 10%. Công
ty đã nộp các khoản thuế trên bằng chuyển khoản. Chi phí đăng ký
pháp lý liên quan đến bản quyền công nghệ trong nước là 16,5 triệu đã
trả bằng tiền mặt (thuế GTGT 10%). Biết rằng doanh nghiệp thực hiện
tính nộp thuế GTGT theo phương pháp khấu trừ.
Yêu cầu : Xác định nguyên giá TSCĐ vô hình vừa mới được mua
(Biết rằng TSCĐ vô hình được đưa vào sử dụng ngay)
Answers
Answer:fjdkndnfnf
Explanation:bfnfnndndnfnfnwd
cho vay thương mại và cho vay tài chính khác nhau ở chổ nào?
Answers
The WACC is used to _______ the expected cash flows when the firm has ____________. Select one: a. decrease; short term financing on the balance sheet b. discount; short term financing on the balance sheet c. discount; debt and equity in the capital structure d. increase; debt and equity in the capital structure
Answers
Answer:
c
Explanation:
WACC = weight of equity x cost of equity + weight of debt x cost of debt x (1 - tax rate)
weight of debt = D / (D + E)
It is used to discount the expected cash flows when the firm has debt and equity in the capital structure. It is suitable because in the calculation of WACC, debt and equity are included
Winnebagel Corp. currently sells 24,600 motor homes per year at $36,900 each, and 9,840 luxury motor coaches per year at $69,700 each. The company wants to introduce a new portable camper to fill out its product line; it hopes to sell 15,580 of these campers per year at $9,840 each. An independent consultant has determined that if Winnebagel introduces the new campers, it should boost the sales of its existing motor homes by 3,690 units per year, and reduce the sales of its motor coaches by 738 units per year.
Answers
Answer:
The amount to use as the annual sales figure when evaluating this project is $1,831,617,600.
Explanation:
Note: This question is not complete as the requirement is not included. To complete question, the requirement is therefore provided before answering the question as follows:
Required: What is the amount to use as the annual sales figure when evaluating this project?
The explanation of the answers is now provided as follows:
New units of motor homes per year = Current units of motor homes per year + Expected increase in the unit of motor homes per year = 24,600 + 3,690 = 28,290
New units of luxury motor coaches per year = Current units of luxury motor coaches per year + Expected decrease in the unit of luxury motor coaches per year = 9,840 - 738 = 9,102
Annual sales figure = (New units of motor homes per year * Unit of motor homes) + (New units of luxury motor coaches per year * Unit price of luxury motor coaches) + (Expected units of portable camper * Unit price of portable camper) = (28,290 * $36,900) + (9,102 * $69,700) + (15,580 * $9,840) = $1,831,617,600
Therefore, the amount to use as the annual sales figure when evaluating this project is $1,831,617,600.
On January 2, 2017, Concrete Master Construction, Inc. issued $500,000, ten-year bonds for $574,540. The bonds pay interest on June 30 and December 31. The face rate is 8% and the market rate is 6%. What is the carrying value of the bonds after the first interest payment is made on June 30, 2017
Answers
Answer:
The carrying value of the bonds after the first interest payment is made on June 30, 2017, is $571,776
Explanation:
The carrying value of the bond after the first interest payment will be calculated as follow
Carrying value of bond = Bond Issuance value - Amortization of Bond premium
Where
Bond Issuance value = $574,540
Amortization of bond premium = Coupon payment - ( Bond issuance value x Market rate ) = ( $500,000 x 8% x 6/12 ) - ( $574,540 x 6% x 6/12 ) = $20,000 - $17,236 = $2,764
Placing values in the formula
Carrying value of bond = $574,540 - $2,764
Carrying value of bond = $571,776
When creating a company's security policy, it is not necessary that the scope align with the company's annual information security budget. True False
Answers
Answer:
False, you would want them to align.
Explanation:
g For a monopolist, marginal revenue is less than price because Group of answer choices the monopolist must lower price on all units sold and not just on the last unit sold. the demand curve is inelastic. the monopolist must lower price on the last unit sold in order to sell it. marginal revenue is always less than price, just as in the model of perfect competition.
Answers
Answer:
the monopolist must lower price on all units sold and not just on the last unit sold.
Explanation:
A monopoly is a market structure which is typically characterized by a single-seller who sells a unique product in the market by dominance. This ultimately implies that, it is a market structure wherein the seller has no competitor because he is solely responsible for the sale of unique products without close substitutes.
Any individual that deals with the sales of unique products in a monopolistic market is generally referred to as a monopolist.
Marginal revenue can be defined as the additional amount of money that is gained or generated by a business firm from the sales of an additional unit of a product or service. Graphically, a change in the value of the total revenue curve at a given point gives the marginal revenue.
A price refers to the amount of money a customer or consumer buying goods and services are willing to pay for the goods and services being offered. The price of goods and services are primarily being set by the seller or service provider.
For a monopolist, the marginal revenue (MR) of a product or service is less than price because the monopolist must lower price on all of the units sold rather than lowering price on the last unit sold only.
Hence, the lower price applies to all units sold by a monopolist.
If policy makers want to decrease real GDP by $100 billion and the marginal propensity to consume is 0.6, they should _____ government purchases of goods and services by _____.
a. decrease; $100 billion
b. decrease; $60 billion
c. decrease; $40 billion
d. increase; $100 billion
Answers
Chrysler has a bond outstanding with eight years remaining to maturity, a coupon rate of 5 percent, and semiannual payments. If the market price of the Chrysler bond is $729.05, what is the yield to maturity
Answers
Answer:
10%
Explanation:
Calculation to determine the yield to maturity
Using financial calculator
FV= 1,000
N=2*8= 16
PMT=$1,000(0.05)/2 =$25 semiannual
PV -$729.05
I/Y = 5% semiannual
YTM=?
Hence,
YTM=10% YTM
Therefore the yield to maturity is 10%
jose 25 kg is father is 5 kg less than 3 times jose's weight what is the weight of jose father
Answers
Answer:
Jose's father weighs 70 kilos.
Explanation:
Given that Jose weighs 25 kilograms, while his father is 5 kilograms less than 3 times Jose's weight, to determine what is the weight of Jose father the following calculation must be performed:
Jose = 25
Father = (25 x 3) - 5
Father = 75 - 5
Father = 70
Therefore, Jose's father weighs 70 kilos.
Dolan Company reports its income from investments under the equity method and recognized income of $25,000 from its investment in Moss Co. during the current year, even though no dividends were declared or paid by Moss during the year. On Dolan's statement of cash flows (indirect method), the $25,000 should:________. A) not be shown. B) be shown as cash inflow from investing activities. C) be shown as cash outflow from financing activities. D) be shown as a deduction from net income in the cash flows from operating activities section.
Answers
Answer:
The answer is B.
Explanation:
The correct option is B.
Dolan company has an investment in Moss which gave him an income(inflow) of $25,000. So on Dolan's statement of cash flow, this transaction will be under 'Cash flow from Investing Activities' and the line item will be:
Cash inflow from Investing Activities - $25,000.
It doesn't matter whether a cash flow is prepared in a direct or indirect manner for Investing Activities or Financing Activities, it only affect Operating Activities.
In the year 2003 the Acme Company had twice as many employees as managers. During the next 5 years, they hired twelve employees and fired two managers. Which of the following equations is correct for the number of managers?
A. NM2008 + 2 = 2 (NE2008 - 12).B. NM2008 - 2 = 2 (NE2008 + 12).C. 2 (NM2008 + 2) = NE2008 - 12.
D. 2 (NM2008 - 2) = NE2008 + 12.E. I can't eliminate any choices.
Answers
Answer:
B. NM2008 - 2 = 2 (NE2008 + 12)
Explanation:
Acme company has twice as many employees as managers so the number of employees would be multiplied by 2 to find the actual number of employees. The company will hire 12 new employees and will fire 2 managers in next 5 years. The correct equation will show the number of employees plus 12 new employees and managers minus 2 managers who are fired.
On January 1, 2013, Jones Inc. issued a $100,000 face value bond for proceeds of $97,654. On June 30, 2013, Jones sent checks to the bondholders for the first coupon payment on the bond. Which of the following items would be increased by the coupon payment transaction?
a. Interest Expenseb. Bonds Payablec. Cash from Operating Activitiesd. Cash from Financing Activitiese. Cash from Investing Activities
Answers
Answer:
a. Interest Expense
Explanation:
Only the Interest Expense would be increased by the coupon payment transaction.
Coupon payment includes interest payment and repayment of the Principle or Capital amount.
The entry for coupon payment is :'
Debit : Interest expense
Debit : Bond Payable
Credit : Cash
While the Cash- Asset and the Bond Payable- Liability are decreasing, only the Interest expense is increasing.
A corporation has 50,000 shares of $25 par value stock outstanding that has a current market value of $120. If the corporation issues a 2-for-1 stock split, the market value of the stock is expected to:________
a. $5
b. $60
c. $25
d. $24
Answers
Answer:
B
Explanation:
A stock split is when a company increases the number of its shares outstanding by a constant proportion
for example, if a company has 50,000 shares outstanding at a price of $25, earning per share is $1 and dividend per share is $2. this company announces a 2 for 1 split:
the number of outstanding shares becomes 2 x 50,000 = 100,000
stock price becomes = $25 / 2 =$12.5
earnings per share = $1 / 2 = $0.50
dividend per share = $2 / 2 = $1
Market value = $120 / 2 = 60
After a stock split, the price of the shares falls. so it can be used to adjust the market price of a stock so it falls within a preferred trading range.
A stock split doesn't affect the balances in shareholders equity account.
Stock split doesn't affect the cash holdings of the firm.
g On January 1, 2021, Leardon Inc. purchased equipment for $25,000. The company is depreciating the equipment at the rate of $1,000 per month. At January 31, 2022, the balance in Accumulated Depreciation is:
Answers
Answer:
$24,000
Explanation:
The Straight line method of depreciation charges a fixed amount of depreciation. The the rate of $1,000 per month presents that the company uses straight line method.
For the balance of accumulated depreciation, we simply count the number of months from January 1, 2021 to January 31, 2022 and multiply by $1,000.
Accumulated Depreciation = 24 months x $1,000 = $24,000
At January 31, 2022, the balance in Accumulated Depreciation is $24,000.