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DFH plc manufactures and sells three products that use the same production facilities. The annual budget has just been prepared and the projected sales, selling

DFH plc manufactures and sells three products that use the same production facilities. The annual budget has just been prepared and the projected sales, selling prices, manufacturing costs and expenses resulted in the following projections of the profit that would be generated in 2014.

Product D

Product F

Product H

TOTAL

Sales units

1000

1500

2000

Sales

60 000

150 000

80 000

290 000

Variable costs of production

24 000

72 000

38 000

134 000

Fixed costs

20 000

60 000

30 000

110 000

Total costs

44 000

132 000

68 000

244 000

Profit

16 000

18 000

12 000

46 000

The total fixed costs of the company had been apportioned to products on the basis of the direct labour hours used to manufacture each product. The company only manufactures products when they are ordered and hold no finished goods in stock. The sales forecasts mean that the direct labour hours in 2014 would total 11 000 direct labour hours.

However, in the last months of 2013, it was found that the direct labour hours available in 2014 would be reduced to only 8 000 direct labour hours. Despite looking at all the possible ways to increase the direct labour hours available, it was not possible to increase the hours available in 2014.

Required

  1. What quantity of the products should be made and sold to maximise the companys profit? It is not possible to sell more than the number of units of the three products shown in the original budget. The fixed costs of the company will not be reduced as a result of the decreased number of direct labour hours.
  1. Alternatively, the selling price per unit of each of the three products could be increased by 10 per cent but it is expected that this will reduce the number of units sold by 30 per cent. However, this would mean that DFH plc would be able to manufacture all the units that are expected to be ordered during 2014. What will be the total profit of the company if the prices are increased?

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