Answer:
$15.66 per carton
Explanation:
118,000 cartons of machine screws
equipment cost $785,000
depreciation per year = $785,000 / 5 = $157,000
fixed manufacturing costs $415,000 per year
variable costs per carton = $10.05 x 118,000 = $1,185,900
initial investment in net working capital $68,000
tax rate 24%
discount rate 12%
price per carton?
initial investment = -$853,000
CF₁ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 = 0.76R - $1,178,320
CF₂ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 = 0.76R - $1,178,320
CF₃ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 = 0.76R - $1,178,320
CF₄ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 = 0.76R - $1,178,320
CF₅ = [(R - $1,600,000 - $157,000) x 0.76] + $157,000 + $68,000 = 0.76R + $1,110,320
$853,000 = (0.76R - $1,178,320) / 1.12 + (0.76R - $1,178,320) / 1.12² + (0.76R - $1,178,320) / 1.12³ + (0.76R - $1,178,320) / 1.12⁴ + (0.76R + $1,110,320
) / 1.12⁵ = 0.6786R - $1,052,071.43 + 0.6059R - $939,349.49 + 0.541R - $838,704.90 + 0.483R - $748,943.66 + 0.4312R + $630,025.39
$853,000 = 2.7397R - $4,209,094.87
$5,062,094.87 = 2.7397R
R = $5,062,094.87 / 2.7397 = $1,847,682.18
total revenue = $1,847,682.18
revenue per carton = $1,847,682.18 / 118,000 = $15.6583 = $15.66
