Answer:
6,642 units
Explanation:
Given that,
Contribution margin = $5,
Fixed costs = $12,000,
Variable costs per unit = $12,
Depreciation = $30,000
EAC = $41,185
Tax rate = 21 percent
Present value break-even point in units:
= {[EAC × (1 - Tax rate)] - (Depreciation × Tax rate)} ÷ [contribution margin × (1 - Tax rate)]
= {[$41,185 × (1 - 0.21)] - ($30,000 × 0.21)} ÷ [$5 × (1 - 0.21)]
= [32,536.15 - $6,300] ÷ $3.95
= $26,236.15 ÷ $3.95
= 6,642 units