Key Corporation is considering the addition of a new product. The expected cost and revenue data for the new product are as follows: Annual sales 2,500 units Selling price per unit $ 304 Variable costs per unit: Production $ 125 Selling $ 49 Avoidable fixed costs per year: Production $ 50,000 Selling $ 75,000 Allocated common fixed corporate costs per year $ 55,000 If the new product is added, the combined contribution margin of the other, existing products is expected to drop $65,000 per year. Total common fixed corporate costs would be unaffected by the decision of whether to add the new product. At what selling price would the new product be just breaking even

Respuesta :

The Key Corporation's selling price for the new product to break even should be $272.

Data and Calculations:

Annual sales = 2,500 units

Selling price per unit = $304

Variable costs per unit:

Production $ 125

Selling $ 49

Variable costs per unit = $174 ($125+ $49)

The total variable costs for 2,500 units = $435,000 (2,500 x $174).

Avoidable fixed costs per year:

Production $ 50,000

Selling        $ 75,000

The total Avoidable fixed costs = $125,000 ($ 75,000 + $50,000).

Allocated common fixed = $55,000

Loss of contribution margin = $65,000

The total common fixed costs = $120,000 ($65,000 + $55,000).

The total fixed costs (Avoidable and Common) = $245,000 ($125,000 + $120,000).

Key Corporation incurs a  total production cost for 2,500 units in the year = $680,000 ($435,000 + $245,000).

Thus, for Key Corporation to break even, the selling price should be = $272 ($680,000/2,500).

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