Neptune Company produces toys and other items for use in bthe following and resort areas. A small, inflatable toy has come onto the market that the company is anxious to produce and sell. The new toy will sell for 3 per unit. Enough capacity exists in the company's plant to produce 16,000 units of the toy the following month. Variable costs to manufacture and sell one unit would be 1.25 , and fixed costs associated with the toy would total 35,000 per month. The company's Marketing Department predicts that demand for the new toy will exceed the 16,000 units that the company is able to produce. Additional manufacturing space can be rented from another company at a fixed cost of 1,000 per month. Variable costs in the rented facility would total 1.40 per unit, due to somewhat less efficient operations than in the main plant.
(b) How many units must be sold each month to make a monthly profit of 12,000 ?

Respuesta :

Determine the number of units to be sold to earn a return of 25% of the monthly investment in fixed expenses as shown below:

Number of units = Break-even point (in units)   Profit to be earned/ Contribution margin per unit for additional unit sales

= 50,115 units + 25% x Total fixed cost /$0.78 per unit - $0.20 per unit

= 50,115 units+ 25% ($41,800+ $2,090) /$0.58 per unit

= 50,115 units + $10,973 /$0.58 per unit

=50,115 units+ 18,919 units

= 69,034 units.

Thus, the number of units to be sold to earn a return of 25% of the monthly investment in fixed expenses is 69,034 units.

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