Question A company produces two products, Alpha and Beta, details of which are as follows:...
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A company produces two products, Alpha and Beta, details of which are as follows:
Alpha Beta
Material X at R5 / kg 10 20
Labour at R2 / hour 20 10
Variable machine costs at R3 / hour 12 9
Variable costs 6 6
48 45
Selling price 60 60
Demand 1 000 1 000
Material is restricted, owing to import restrictions, to 5 000kg monthly.
The machine hour capacity of the company is 6 000 hours monthly.
There are no opening or closing of stocks.
You are required to show, with reasons:
4.1 The production plan the company should follow to maximise profits, and the contribution so arising. (6)
4.2 The minimum selling price the company could quote on a special order which required the under mentioned costs: (7)
Material X R1 000
Labour R1 000
Machine time R150
Variable costs R400
4.3 If Alpha and Beta can be purchased at a price of R52 and R55 respectively, indicate the optimum production and purchasing strategy that the company should follow to maximise profits.
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