Question

Vaughn Manufacturing incurred the following costs for 72000 units: Variable costs $432000 Fixed costs 392000 Vaughn has received a special order from a foreign company for 4000 units. There is sufficient capacity to fill the order without jeopardizing regular sales. Filling the order will require spending an additional $5600 for shipping. If Vaughn wants to earn $8000 on the order, what should the unit price be

Answer 1

$7.8
Explanation:
Variable costs = $504,000
Fixed costs = $392,000
Number of units produced = 84,000
Shipping charges = $4,500
Therefore, the variable cost per unit is calculated as follows:
= Variable costs ÷ Number of units produced
= $504,000 ÷ 84,000
= $6 per unit
Incremental fixed cost per unit (For 2,500):
= Shipping cost ÷ 2,500
= $4,500 ÷ 2,500
= $1.8 per unit
Therefore, the unit sales price will be the sum total of variable cost per unit and incremental fixed cost per unit for the shipping charges.
BEP (in sales price per unit):
= Variable cost per unit + incremental fixed cost per unit
= $6 + $1.8
= $7.8