Answer:
$6.9807 per carton
Explanation:
210,000 cartons of machine screws
equipment cost $2,650,000
depreciation per year = ($2,650,000 - $220,000) / 5 = $486,000
fixed manufacturing costs $705,000 per year
variable costs per carton = $9.51 x 210,000 = $1,997,100
initial investment in net working capital $375,000
tax rate 22%
discount rate 10%
price per carton?
initial investment = -$3,025,000
CF₁ = [(R - $705,000 - $486,000) x 0.78] + $486,000 = 0.78R - $442,980
CF₂ = [(R - $705,000 - $486,000) x 0.78] + $486,000 = 0.78R - $442,980
CF₃ = [(R - $705,000 - $486,000) x 0.78] + $486,000 = 0.78R - $442,980
CF₄ = [(R - $705,000 - $486,000) x 0.78] + $486,000 = 0.78R - $442,980
CF₅ = [(R - $705,000 - $486,000) x 0.78] + $486,000 + $220,000 + $375,000 = 0.78R + $152,020
$3,025,000 = (0.78R - $442,980) / 1.1 + (0.78R - $442,980) / 1.1² + (0.78R - $442,980) / 1.1³ + (0.78R - $442,980) / 1.1⁴ + (0.78R + $152,020) / 1.1⁵ = 0.709R - $402,709 + 0.645R - $366,099 + 0.586R - $332,817 + 0.533R - $302,561 + 0.484R + $94,392
$3,025,000 = 2.957R - $1,309,794
$4,334,794 = 2.957R
R = $4,334,794 / 2.957 = $1,465,943.19
total revenue = $1,465,943.19
revenue per carton = $1,465,943.19 / 210,000 = $6.98
