Question
David Electronics Ltd produces a single product called The Gismo. To produce this product, David purchases a key component from Supplier A. Supplier A has
David Electronics Ltd produces a single product called The Gismo. To produce this product, David purchases a key component from Supplier A. Supplier A has two versions of this component and both are suitable for insertion into The Gismo. However, the two alternative components, Model 1 and Model 2, attract different costs for David. Data relevant to the two components are as follows: Model 1: variable costs, $15.00 per unit, annual fixed costs, $4 940 400. * Model 2: variable costs, $12.80 per unit; annual fixed costs, $4 560 400. David's selling price for The Gismo is $70 per unit, which is subject to a 10 per cent sales commission. (Ignore income taxes.)
Required: (a) How many units of The Gismo must David sell to break even if Model 1 is selected? (3.5 marks) (b) Which of the two models would be more profitable if sales and production of The Gismo were 190 000 units per year? (3.5 marks) (c) Assume Model 2 requires the purchase of additional equipment that is not reflected in the above data. The equipment will cost $2 000 000 and will be depreciated over a four-year life by the straight-line method. How many units must the company sell to earn a profit of $4 000 600 if Model 2 is selected? (3.5 marks) (d) Ignoring the information presented in requirement 3, at what volume will David's management be indifferent as to whether Model 1 or Model 2 is purchased- that is, at what level of production will the annual total cost of each alternative be equal? (3.5 marks)
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