Hammerhead Charters runs fishing trips out of the local port. Hammerhead charges $80 per trip for a half-day trip. Variable costs for Hammerhead total $35 per trip and the fixed costs are $10,350 per month. Hammerhead is subject to an income tax rate of 20 percent.
Required:
a. How many trips must Hammerhead sell to break even?
b. How many trips must Hammerhead sell to earn a monthly operating profit of $10,800 after taxes?
Answer for a)
Fixed cost =10350
Contribution per unit = Selling price per unit – variable cost per unit =80-35 =45
Breakeven point = Fixed cost / Contribution per unit
Breakeven point = 10350/45 = 230 trips
Answer for b)
Monthly profit required after tax = 10800
Profit before tax required = Monthly profit required after tax/ [1-tax rate]
Profit before tax required = 10800/[1-0.20] = 13500
Trips required = Fixed cost + target profit / Contribution per unit
Trips required = 10350+13500/45 = 530 trips
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