Answer:
a. What should the company establish as the sales price per unit if it sets a target of earning an operating income of $700,000 by producing and selling 60,000 units during the first year of operations?
b. At the unit sales price computed in part a, how many units must the company produce and sell to break even?
c. What will be the margin of safety (in dollars) if the company produces and sells 60,000 units at the sales price computed in part a?
Explanation:
variable costs per unit:
direct materials $25
direct labor $15
manufacturing overhead $8
selling expenses $2
total $50
fixed costs per unit:
manufacturing overhead $500,000
administrative expenses $300,000
total $800,000
assuming the company actually produces and sells the 60,000 units
units sold = (fixed costs + expected profits) / contribution margin
60,000 = $870,000 / contribution margin
contribution margin = $870,000 / 60,000 = $14.50
contribution margin = sales price - variable costs
$14.50 = sales price - $50
sales price = $50 + $14.50 = $64.50
break even point = fixed costs / contribution margin = $800,000 / $14.50 = 55,172.41 ≈ 55,173 units
margin of safety = current sales - break even point = (60,000 x $64.50) - (55,173 x $64.50) = $311,341.50