Question
QUESTION FOUR Sao Limited makes three products, all of which use the same machine, which is available for 60,000 hours per period. The standard costs
QUESTION FOUR
Sao Limited makes three products, all of which use the same machine, which is available for 60,000 hours per period.
The standard costs of the product, per unit, are
Product X | Product Y | Product Z | |
Direct materials | 100 | 70 | 90 |
Direct labour | |||
Machinists (6 per hour) | 30 | 18 | 54 |
Assemblers (6 per hour) | 36 | 40 | 42 |
Selling price per unit | 215 | 147 | 220 |
Maximum demand (units) | 3500 | 2000 | 5500 |
Fixed costs are 250,000 per period
Required:
- Calculate the deficiency in machine hours for the next period.
(5 marks)
- Determine the production plan that will maximise Sao Ltd.s profit for the next period.
(14 marks)
- Calculate the profit that will result from your recommended production plan.
(6 marks)
[TOTAL: 25 MARKS]
QUESTION FIVE
A decision-maker is choosing between three alternative marketing strategies A, B and C. The outcome of these strategies depends on whether the market condition will be weak, medium or strong. The possible outcomes of the respective strategies in the different possible market conditions, expressed in thousands of profit are as follows:
| Strategy |
| ||
Market | A | B | C | Probability of market condition |
Weak | 20.00 | 80.00 | 10.00 | 0.20 |
Medium | 40.00 | 70.00 | 100.00 | 0.50 |
Strong | 50.00 | -10.00 | 40.00 | 0.30 |
Required:
- What strategy should be adopted if the decision-maker acts on expected value?
(4 marks)
- What strategy should be adopted if the decision-maker acts on standard deviation?
(10 marks)
- What strategy should be adopted if the decision-maker acts on the maximax rule?
(2 marks)
- What strategy should be adopted if the decision-maker acts on the minimax rule?
(2 marks)
- What strategy should be adopted if the decision-maker acts on the minimax regret rule?
(7 marks)
[TOTAL 25 MARKS]
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