Answer:
a. Breakeven point = Fixed cost / Contribution margin
Contribution margin = Selling price - Variable costs per unit
Variable cost per unit = 2,000,000 / (5,000 * 365 days)
= $1.10
Contribution margin = 1.75 - 1.10
= $0.65
Breakeven point = 700,000 / 0.65
= 1,076,923 kg
Fixed cost per kilogram at those units is:
= 700,000 / 1,076,923
= $0.65
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b. Net profit at original prices:
= (Contribution margin * units produced) - Fixed costs
= (0.65 * 5,000 * 365) - 700,000
= $486,250
Less taxes:
= 486,250 * (1 - 35%)
= $316,062.50
Net profit after price increase:
New selling price = 1.75 * 1.1
= $1.93
Net profit = ((Selling price - Variable cost) * units sold) - fixed cost
= ( (1.93 - 1.10) * 5,000 * 365) - 700,000
= $814,750
After tax:
= 814,750 * (1 - 35%)
= $529,587.50
Dollar increase:
= 529,587.50 - 316,062.50
= $213,525
