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Hype Ltd produces four types of clothes with the use of a special machine. Each labor hour in the special machine costs £10. For the productionof the four products the company has 6,800 special machine labor hours. There will be no shortage of any other factor of production. Costings and break-even quantities for the products are as follows:
Products
A (Jeans)
B (Shirts)
C (Jackets)
D (Coats)
Material cost per unit
£20
£30
£60
£100
Special machine labor hours per unit
0.25
0.5
0.4
0.55
Fixed costs
£40,000
£50,000
£70,000
£120,000
BEP (break-even point) quantity
1,000
1,500
1,400
2,100
For each type of product the management of the firm aims at the following targeted profit levels:
Product
Target Profit
A
£100,000
B
C
£150,000
D
£200,000
However, the marketing department has conducted a consumer survey and estimated that the actual demand for the products will be different from that corresponding to the targeted profits. The estimated quantity demanded for each product is given in the table below:
Estimated Quantity Demanded
3,200
3,600
4,300
5,300
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