Vaughn Manufacturing incurred the following costs for 84000 units: Variable costs $504000 Fixed costs 392000 Vaughn has received a special order from a foreign company for 2500 units. There is sufficient capacity to fill the order without jeopardizing regular sales. Filling the order will require spending an additional $4500 for shipping. If Vaughn wants to break even on the order, what should the unit sales price be? $12.47

$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

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