- 40 Marks
PM – May 2021 – L2 – Q1 – Costing Systems and Techniques
Analyze linear programming application in production and pricing strategy for maximizing scarce resources.
Question
The Managing Director of NTAMS Manufacturing Company Limited, located in Lagos, attended a seminar titled “Optimizing scarce resource utility in a manufacturing setting with particular reference to linear programming.” Upon his return, he initiated a management meeting to discuss key insights, prompted by the board’s decision to prioritize two primary products.
The following are cost data for the anticipated products “Biggi” and “Smalli”:
Costs | Biggi (₦) | Smalli (₦) |
---|---|---|
Material Costs | (5kg @ ₦50/kg) 250 | (3kg @ ₦50/kg) 150 |
Labour Costs: | ||
Machining Time | (4 hours @ ₦15/hr) 60 | (2 hours @ ₦15/hr) 30 |
Processing Time | (4 hours @ ₦10/hr) 40 | (5 hours @ ₦10/hr) 50 |
The company adheres to a pricing policy where total cost of production is marked up by 20%. Annual overhead is ₦10,000,000, allocated on a 3:2 basis between Biggi and Smalli, with a projected production of 200,000 Biggis and 100,000 Smallis.
Available resources for the upcoming year:
- Materials: 1,800,000 kg
- Machine Time: 800,000 hours
- Other Processing Time: 1,400,000 hours
Required:
As the management accountant:
- Explain briefly the concept of linear programming and its usefulness.
(5 Marks) - Compute the Prices for Biggi and Smalli using the company’s pricing policy.
(5 Marks) - Advise the company on the output levels needed to maximize total profit, with full financial analysis support.
(10 Marks) - Explain the meaning and limitations of “shadow prices” and calculate them for constraints.
(12 Marks) - Assuming consistent conditions for three years with an investment cost of ₦45,000,000 and a 15% cost of capital:
- Determine if this venture is justified.
(4 Marks) - Find the breakeven discount factor for this project.
(4 Marks)
- Determine if this venture is justified.
Find Related Questions by Tags, levels, etc.
- Tags: Costing, Decision Making, Linear Programming, Resource Optimization, Scarce Resources
- Level: Level 2
- Topic: Costing Systems and Techniques
- Series: MAY 2021