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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