- The Food Max grocery store sells three brands of milk in half-gallon cartons—
its brand, a local dairy brand, and a national brand. The profit from its brand is
$0.97 per carton, the profit from the local dairy brand is $0.83 per carton, and
the profit from the national brand is $0.69 per carton. The total refrigerated shelf
space allotted to half-gallon cartons of milk is 36 square feet per week, and a
half-gallon carton takes up 16 square inches of shelf space. The store manager
knows that each week Food Max always sells more of the national brand than
of the local dairy brand and its own brand combined and at least three times as
much of the national brand as its own brand. In addition, the local dairy can
supply only ten dozen cartons per week. The store manager wants to know how
many half-gallon cartons of each brand to stock each week in order to maximise
profit.
a) Formulate a linear programming model for this problem.
b) Solve this model by using the computer.

Answers

Answer 1

This is a linear programming problem. In this case, we want to maximize profit while satisfying the constraints given.

Let x1, x2 and x3 be the number of half-gallon cartons of Food Max’s brand, local dairy brand and national brand respectively. Then the objective function is:

Maximize 0.97x1 + 0.83x2 + 0.69x3

The constraints are:

x1 + x2 + x3 <= 361216 (total refrigerated shelf space allotted to half-gallon cartons of milk is 36 square feet per week, and a half-gallon carton takes up 16 square inches of shelf space)

x3 >= x1 + x2 (each week Food Max always sells more of the national brand than of the local dairy brand and its own brand combined)

x3 >= 3x1 (at least three times the amount of the national brand as the company's own brand)

x2 <= 10*12 (the local dairy can supply only ten dozen cartons per week)

Linear programming (LP), often known as linear optimisation, is a strategy for achieving the optimum outcome (such as highest profit or lowest cost) in a mathematical model with linear connections representing the criteria. Linear programming is a subset of mathematical programming (sometimes referred to as mathematical optimization).

Linear programming is a technique for optimizing a linear objective function under linear equality and linear inequality constraints. Its viable region is a convex polytope, which is a set defined as the intersection of an infinite number of half spaces, each specified by a linear inequality. Its goal function is a polyhedral real-valued affine (linear) function.

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Related Questions

10). You are meeting with your new remote team for the first time. In order to best encourage their individual performance development, what should you do first?

A) Set clear expectations for each team member, with SMART goals.

B) Ensure that team members understand the larger goals of the company

C) Have regularly scheduled performance reviews.

Answers

To encourage individual performance development in a new remote team, it's important to first ensure team members understand the larger goals of the company, then set clear expectations with SMART goals, and schedule regular feedback sessions.

A)Setting clear expectations for each team member with SMART goals is an important step in encouraging individual performance development. SMART goals are time-bound, relevant, specified, measurable, and achievable.

By setting SMART goals, team members have a clear understanding of what is expected of them and what they need to accomplish to be successful.

B) Ensure that team members are aware of the organization's overarching objectives.

When meeting with a new remote team for the first time, it is important to ensure that team members understand the larger goals of the company.

This can help them understand how their individual work contributes to the overall success of the organization and can motivate them to perform better. It can also help them prioritize their work and make better decisions.

Once team members have a clear understanding of the company's goals, you can then move on to setting clear expectations for each team member with SMART goals.

These objectives must to be clear, quantifiable, doable, timely, and relevant.SMART goals provide a clear direction for team members and help them focus on the most important tasks.

C) Finally, scheduling regular performance reviews can help team members track their progress and receive feedback on their work. This feedback can be used to identify areas for improvement and set new goals.

However, it is important to note that performance reviews should not be the only time team members receive feedback. Providing regular feedback throughout the year can help team members improve their performance and feel more engaged in their work

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P acquires 80 000 of the ordinary shares by paying cash of M175 000 and issuing one share in P for every two shares acquired on 1 July 20x4. The market value of P’s shares was M1.25 at the 1 July 20X4 and £1.40 at the year end. Extracts from the financial statements of S at 31 December 20X4 are: M Ordinary share capital 100,000 Retained earnings 225,000 The profit after tax for the year ended 31 December 20X4 was M60 000 and no dividends have been paid. Since acquisition S has sold goods to P at M45 000 and at the year-end a quarter of these were unsold with S earning a profit margin of 20%. P had paid a cheque of M45 000 to S just before the year end but S had not received the cheque at the year end. Requirement a) Calculate the goodwill arising on acquisition, using the proportionate method, and discuss the accounting treatment of goodwill in the consolidated financial statements of the P group. [3 marks] b) Calculate the non-controlling interest at 31 December 20X4. [1 mark] c) Prepare consolidation adjustments to reflect the cancellation of intra group balances. [1 mark]

Answers

This question involves accounting for a business combination where company P acquires 80,000 ordinary shares of company S by paying cash and issuing its own shares.

The market value of P's shares is given, and financial information for S is provided to calculate the goodwill arising from the acquisition using the proportionate method, which involves calculating the fair value of net assets acquired and comparing it to the consideration paid.

In part (a), the accounting treatment of goodwill in the consolidated financial statements of the P group is also required. Goodwill is an intangible asset that arises when the consideration paid for an acquisition exceeds the fair value of the identifiable net assets acquired. In consolidated financial statements, goodwill is initially recognized as an asset and subsequently tested for impairment.

The impairment test involves comparing the carrying amount of goodwill to its recoverable amount, which is the higher of its fair value less costs of disposal and its value in use. Any impairment losses are recognized in the income statement.

Part (b) requires calculating the non-controlling interest, which represents the portion of S that is not owned by P. This is calculated by multiplying the post-acquisition profit or loss of S by the non-controlling interest percentage.

Finally, part (c) requires making consolidation adjustments to reflect the cancellation of intra-group balances. This involves eliminating any intra-group balances and transactions between P and S to avoid double counting of assets and liabilities in the consolidated financial statements.

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PLEASE ADVICE HOW TO USE THIS SITE

Answers

Answer:

you can use it to ask questions,

there is also the premium Version where you can chat with tutors

This site is used to ask questions for different subjects. For example, if I needed help on a maths question, I could either take a picture of the question or type it up for someone else to answer and provide me with an explanation so I don’t struggle with similar questions in the future. If someone gives you an answer you like, that helps you, you can give them ‘thanks’ which is what happens when you press the heart. If you think the answer is exceptionally good, you can rate them ‘brainliest’.

Hope this helps!

Which 2 reports are among the top 20 memorized reports that convert from QuickBooks Desktop to QuickBooks Online?

Answers

The two reports that are among the top 20 memorized reports that convert from QuickBooks Desktop to QuickBooks Online are Profit and Loss and Balance Sheet reports.

The Profit and Loss report, also known as the Income Statement, shows the revenue and expenses of a business over a specified period. It helps in understanding the profitability of a business by highlighting the revenue earned, cost of goods sold, and expenses incurred. Business owners can use this report to identify areas where they can reduce expenses and increase revenue.

On the other hand, the Balance Sheet report shows the financial position of a business at a particular point in time. It presents a snapshot of the assets, liabilities, and equity of a business. It helps in understanding the liquidity of a business and its ability to meet its financial obligations. Investors use this report to evaluate the financial health of a business before making investment decisions.

In summary, the Profit and Loss and Balance Sheet reports are essential reports that every business owner needs to understand to make informed financial decisions. They provide valuable insights into the financial health of a business and help in identifying areas that require improvement.

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Help please! I've done this three times and still can't get it right!​

Answers

Risk Evaluation:

Includes risk identificationIncludes impacts of risks and responsesIncludes analysis of consequences

Risk Control:

Includes risk monitoring

Includes action for minimizing risks

Includes prioritization of measures

What is Risk Evaluation?

To evaluate the chances and possible drawbacks of potential hazards on a project, company, or institution, and choosing which dangers necessitate additional measures.

Making a decision involves evaluating the probability of a risk happening alongside the seriousness of its outcomes and determining if the possible advantages justify the possible drawbacks. Smart risk assessment enables the identification of high-priority risks and informs the allocation of resources to effectively manage them.

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drag each label to the correct location on the image.

Project manager Anna is working with her team on risk management. Match the components of risk management with what each component involves.

Risk Evaluation                            Risk Control

includes risk identification

includes impacts of risks and responses

Includes risk monitoring

Includes action for minimizing risks

includes analysis of consequences

includes prioritization of measures

state any two Accounting concept

Answers

Answer:

Explanation:Concept of conservatism

In contrast to costs, which are recognised earlier when there is a reasonable likelihood that they will be incurred, revenue is only recorded when there is a reasonable certainty that it will be realised.  Financial statements produced using this idea typically have a more cautious tone.

Concept of consistency

Once a company decides to employ a certain accounting technique, it should do so going forward. Thus, it is possible to compare financial statements created for various periods in a trustworthy manner.

Answer the following questions:
1. What is the lift when 20% of the customers are targeted by the company?
2. What is the lift when 60% of the customers are targeted by the company?
3. What is the overall accuracy of the Naïve Bayes model?
4. How many false positives does the model generate? What does that mean?
5. How many false negatives does the model generate? What does that mean?
6. What is the recall of the model?
7. What is the precision of the model?
8. What is the F-measure of the model?
9. Based on your answers to questions 3-8, comment on the overall performance of the model.

Answers

1 and 2- Without additional information about the data and the model used, it is impossible to answer questions 1 and 2 with certainty.

3-  The overall accuracy of the Naïve Bayes model can be calculated by dividing the number of correct predictions by the total number of predictions.

4 and 5- Refer to false positives and false negatives.

6,7 and 8- Refer to different measures of the model's performance.

9- If the overall accuracy is high and the false positive and false negative rates are low, that suggests that the model is performing well.

To answer the first two questions, we need to know what is meant by "lift." Lift refers to the increase in response rate compared to a baseline response rate. In this case, it likely refers to the increase in the likelihood of a customer responding to the company's targeted marketing efforts compared to if they were not targeted at all.  Without additional information about the data and the model used, it is impossible to answer questions 1 and 2 with certainty. However, we can say that the lift will likely be higher when more customers are targeted, as there will be more opportunities for the marketing efforts to be effective.

Moving on to question 3, the overall accuracy of the Naïve Bayes model can be calculated by dividing the number of correct predictions by the total number of predictions.  Questions 4 and 5 refer to false positives and false negatives. A false positive occurs when the model predicts a positive outcome (such as a customer responding to the marketing efforts) but the actual outcome is negative. A false negative occurs when the model predicts a negative outcome (such as a customer not responding to the marketing efforts) but the actual outcome is positive.

Questions 6-8 refer to different measures of the model's performance. Recall measures the proportion of actual positives that were correctly identified by the model. Precision measures the proportion of predicted positives that were actually positive. F-measure is a weighted average of recall and precision, giving equal importance to both measures.  

Based on the answers to questions 3-8, we can assess the overall performance of the model. If the overall accuracy is high and the false positive and false negative rates are low, that suggests that the model is performing well. High recall and precision scores also indicate good performance. The F-measure takes both recall and precision into account, so a high F-measure is a good sign.

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Universal Claims Processors processes insurance claims for large national
insurance companies. Most claim processing is done by a large pool of
computer operators, some of whom are permanent and some of whom are
temporary. A permanent operator can process 16 claims per day, whereas a
temporary operator can process 12 per day, and on average the company
processes at least 450 claims each day. The company has 40 computer
workstations. A permanent operator generates about 0.5 claim with errors each
day, whereas a temporary operator average about 1.4 defective claims per day.
The company wants to limit claims with errors to 25 per day. A permanent
operator is paid $64 per day, and a temporary operator is paid $42 per day.
The company wants to determine the number of permanent and temporary
operators to hire to minimise costs.
a) Formulate a linear programming model for this problem.
b) Solve this model by using graphical analysis.

Answers

The optimal solution is to hire 22 permanent operators and 19 temporary operators, with a total cost of $2272.50.

a) Formulating the linear programming model:

Let x represent the number of full-time employees and y represent the number of temporary employees to be hired.

The objective function is to minimize the cost of hiring operators, which is given by:

Cost = 64x + 42y

The constraints are:

The total number of claims processed per day cannot be less than 450:

16x + 12y ≥ 450

The total number of defective claims per day cannot be more than 25:

0.5x + 1.4y ≤ 25

The number of workstations available is limited to 40:

x + y ≤ 40

The number of operators cannot be negative:

x ≥ 0, y ≥ 0

Following are some ways to express the linear programming model:

Minimize Cost = 64x + 42y

Subject to:

16x + 12y ≥ 450

0.5x + 1.4y ≤ 25

x + y ≤ 40

x ≥ 0, y ≥ 0

b) Solving the model using graphical analysis:

We can graph the constraints to find the feasible region and then use the corner-point method to find the optimal solution.

First, we graph the constraint 16x + 12y ≥ 450:

12y ≥ -16x + 450

y ≥ (-4/3)x + 37.5

Next, we graph the constraint 0.5x + 1.4y ≤ 25:

1.4y ≤ -0.5x + 25

y ≤ (-5/14)x + 25/1.4

y ≤ (-5/14)x + 17.86

Finally, we graph the constraint x + y ≤ 40:

y ≤ -x + 40

Combining these three constraints, we get the following feasible region:

16x + 12y = 450

y ≤ (-4/3)x + 37.5

y ≤ (-5/14)x + 17.86

y ≤ -x + 40

We now evaluate the objective function at the corner points of the feasible region to find the optimal solution.

The corner points are:

(0, 25/1.4) = (0, 17.86)

(0, 37.5)

(21.875, 18.75)

(27.27, 12.73)

(28.125, 11.25)

When we assess the objective function at these intervals, we obtain:

(0, 17.86): Cost = 42y = 42(17.86) = 750.12

(0, 37.5): Cost = 42y = 42(37.5) = 1575

(21.875, 18.75): Cost = 64x + 42y = 64(21.875) + 42(18.75) = 2272.5

(27.27, 12.73): Cost = 64x + 42y = 64(27.27) + 42(12.73) = 2536.08

(28.125, 11.25): Cost = 64x + 42y = 64(28.125) + 42(11.25) = 2587.5

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Question 3: MNG4801/102/0/2023 3. Critically discuss the difference between the inside-out versus outside-in perspectives when managing strategically. As part of your discussion, identify which one of these perspectives was prioritized by Theo Baloyi when he first started his business and then apply it to the Bathu Shoes case study. You need to support your discussion by integrating the relevant theory in your discussion with practical examples from the case study.​

Answers

The inside-out versus outside-in perspectives are two different approaches to managing strategically. The outside-in perspective is supported by the market-oriented strategic planning approach.

Discuss the inside-out versus outside-in perspectives?

The inside-out approach centers around a company's strengths and capabilities, leveraging them in the market to identify opportunities. Upon starting his business, Bathu Shoes, Theo Baloyi embraced this perspective as a priority.

Meanwhile, market-oriented strategic planning emphasizes understanding customer needs for an outside-in viewpoint. Products and services should be developed with these in mind. Adopting this outlook allowed Bathu Shoes to deepen their comprehension of customers and what they require.

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