This assessment item continues on from Part 1 of the STPL Case Study

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This assessment item continues on from Part 1 of the STPL Case Study










Question 1 (15 marks)









Marty, the marketing manager, would like you to assist in providing information for a marketing strategy he is proposing at the annual general meeting next month. He is focusing only on the maca-sponge and wants to know the optimal product mix. Below is an estimate of the costs of the three sizes of the maca-sponge.





















































Maca-Sponge Sizes







1.5kg






800 gram






300gram





Selling Price




$30.00




$25.00




$19.00








Costs:








Raw materials




$10.00




$8.00




$3.00





Direct labour




$7.00




$4.00




$2.00





Overhead




$5.00




$4.00




$2.80





Selling and Admin




$3.00




$2.50




$2.20











Each of the three products goes through the same manufacturing process which consists of mixing, spreading, cooking and then packaging ready to be sold. The time for each process, in minutes, is in the table below.









































Mixing




Spreading




Cooking




Packaging






HOURS REQUIRED





1.5 kg




4




8




30




3




800 gram




10




3




20




2




300 gram




8




8




20




2




HOURS AVAILABLE




8,000




12,000




100,000




10,000








Required:






  1. Formulate a linear program to determine the expected mix of maca-sponge, ensuring that the maximum profit is obtained. (8 marks)


  2. State the optimal mix and resulting profit. Discuss your results (7 marks)












Question 2 (15 marks)





To assist Marty with his marketing proposal you have offered to provide him with a break-even analysis for the 3 maca-sponge sized cakes. The costs are the same (refer to the cost estimation table in question 1). Fixed costs are $525,000 and the sales mix in the same percentage allocation that you calculated in question 1.








  1. Calculate the unit contribution for each product. (2 marks)


  2. What is the sales mix? (2 marks)


  3. Calculate the weighted average unit contribution margin? (3 marks)


  4. What is the break-even sales revenue in dollars? (4 marks)


  5. How many of each type of maca-sponges must be sold to earn a target profit of $350,000? Assume a constant sales mix. (4 marks)












Question 3 (10 marks)





Marty wants to propose that STPL makes icing sugar figurines to go on top of the maca-sponges. The machine is available, however, it is not always reliable and will often make defective figurines. The figurines would be 1,2,3,4, and 5 inches tall. Based on one day’s production there were a total of 130 of the 1 inch figurine, 256 of the 2 inch, 25 of the 3 inch, 396 of the 4 inch and 278 of the 5 inch.








Required






  1. What is the probability of selecting a 1 inch figurine from the defective bin? (2 marks)


  2. What is the probability of selecting a figurine that is 3 inches or more from the defective bin? (2 marks)


  3. How can probability information be used to assist management in making better decisions? (6 marks)












Question 4 (10 marks)





The Board of Management tends to focus decisions based on events occurring in the next month, only ever considering a longer-term question when they set budgets, which typically have focused on the previous year’s events. You would like to encourage the Board of Management to adopt a stronger strategic focus rather than be operational in their approach to decision making. Explain the difference between operational and strategic decisions. Ensure you provide examples and current thinking about the role each type of decision-making plays within an organisation. (10 marks)






Preparation and submission requirements




This assignment requires a Microsoft Word document as well as a Microsoft Excel spreadsheet solution. Both of these must be submitted online using Turnitin.




You must submit both a Word file AND an Excel file

. Failure to submit both of the files by the due date constitutes non-submission and late penalties will apply.




Your spreadsheet solutions must be cut and pasted into the Word document.


This Word document is what will be marked and returned to you. Remember that in the business world, the professional presentation of information is fundamental and accordingly, marks will be deducted for poor presentation. An electronic version of your source spreadsheet is required to enable markers to open the file and test your efficient use of spreadsheet formula by, for example, changing the values of input variables. Marks will be awarded on the basis of correctness of answers, appropriate use of spreadsheet modelling, effective worksheet design, and level of professional presentation.



Your business report should include:




  1. a cover page addressed to your required audience;


  2. an executive summary (refer to the note below regarding an executive summary);


  3. a table of contents (linked to the headings in the report);


  4. headings and subheadings clearly identifying what is being discussed;


  5. brief explanation and purpose on what each question is addressing


  6. a conclusion; and


  7. referencing (using APA style).




A reference list is mandatory for this assessment item.


It is important that you are aware of how to reference properly and a reference list must be provided, properly formatted using APA guidelines with a hanging indent.
Please note that it is a submission requirement that you include a reference list and assignments which do not include a properly formatted reference list will incur up to a 5 mark penalty.



Review the rules regarding plagiarism. If you are not sure, contact your lecturer or Academic Skills advisor for advice. There is no excuse for presenting the work of others as your own; this includes cutting and pasting material from the web without properly referencing the source.




Answered Same DayMay 15, 2021ACC544Charles Sturt University

Answer To: This assessment item continues on from Part 1 of the STPL Case Study

Neenisha answered on May 18 2021
142 Votes
Executive Summary
In this report we have tried to analyse the appropriate sales mix to maximize the profit. After obtaining the results we have tried to understand the contribution and how we can achieve break even sales. At first we started with formulating the linear programming problem for the question with the given informa
tion about the cost, price and production. After formulating the problem we uses Solver to get the optimal results. We git the sales mix of 1000 units of 1.5 Gram and 500 units of 300 Gram with the maximum profit of $ 9500. After obtaining the results, in second part, we tried to understand the unit contribution and the weighted average contribution of each product. Then we tried to figure out the break-even sales that is when would company be able to recover its variable as well as fixed cost. Now we used excel to understand how much sales we require to achieve a target profit of $ 350000. Lastly we tried to understand the probability of producing defective figurines to help management to make informed decisions.
Table of Contents
Executive Summary    1
Question 1 – Linear Program Problem    3
Formulating Linear Program Problem    3
Analysing the optimal results    4
Question 2 – Break Even Sales Analysis    7
Unit Contribution    7
Sales Mix    7
Weighted Average Contribution    8
Break Even sales    8
Target Profit    8
Question 3 – Defective Probability    9
Probability of selecting 1 inch defective figurine    9
Probability of selecting 3 or more inch defective figurine    9
Management Analysis    10
Question 1 – Linear Program Problem
1.
Formulating Linear Program Problem
Cost Structure
    
    1.5 Gram
    800 Gram
    300 Gram
    Raw Material
    10
    8
    3
    Direct Labour
    7
    4
    2
    Overhead
    5
    4
    2.8
    Selling and Admin
    3
    2.5
    2.2
Hours Available
    
    Mixing
    Spreading
    Cooking
    Packaging
    
    Hours Required
    1.5 Gram
    4
    8
    30
    3
    800 Gram
    10
    3
    20
    2
    300 Gram
    8
    8
    20
    2
    Hours Available
    8000
    12000
    100000
    10000
Selling Price
    
    1.5 Gram
    800 Gram
    300 Gram
    Selling Price
    30
    25
    19
    Total Cost
    25
    18.5
    10
    Profit
    5
    6.5
    9
Objective Function
Maximize Profit = 5 * X + 6.5 * Y + 9 * Z
Decision Variables:
Quantity of 1.5 Gram maca sponge = X
Quantity of 800 Gram maca Sponge = Y
Quantity of 300 Gram maca Sponge = Z
Subject to Constraints:
4X + 10Y + 8Z 480,000
8X + 3Y + 8Z 720,000
30X + 20Y + 20Z 600,000
3X + 2Y + 2Z 600,000
X,Y,Z 0
2.
Analysing the optimal results
    
    
    
    
    
     
    1.5 Gram
    800 Gram
    300 Gram
    
    Selling Price
    30
    25
    19
    
    Quantity
    1000
    0
    500
    
    
    
    
    
    
     
    1.5 Gram
    800 Gram
    300 Gram
    
    Raw Material
    10
    8
    3
    
    Direct Labour
    7
    4
    2
    
    Overhead
    5
    4
    2.8
    
    Selling and Admin
    3
    2.5
    2.2
    
    
    
    
    
    
    
    
    
    
    
     
    Mixing
    Spreading
    Cooking
    Packaging
     
    Hours Required
    1.5 Gram
    4
    8
    30
    3
    800 Gram
    10
    3
    20
    2
    300 Gram
    8
    8
    20
    2
    Hours Used
    8000
    12000
    40000
    4000
    Hours Available
    8000
    12000
    100000
    10000
    
    
    
    
    
    
    
    
    
    
     
    1.5 Gram
    800 Gram
    300 Gram
    
    Total Cost
    25
    18.5
    10
    
    Total Cost
    25
    18.5
    10
    
    Profit
    5
    6.5
    9
    
    
    
    
    
    
    PROFIT
    9500
    
    
    
    
    
    
    
    
    Microsoft Excel...
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