8
algebra

A business sells product A at $40 each and product B at $25 each. Fixed costs are $800. How many of product A must be sold (assuming no product B is sold) to break even?

A

15 units

B

20 units

C

25 units

D

32 units

Correct Answer: B

Choice B is the correct answer. Break-even when Revenue = Fixed Costs (no variable costs given, so we assume none).

Let xx = units of product A sold.

Equation: 40x=80040x = 800x=20x = 20

Solution: 20 units of product A

Verification: Revenue = 40(20)=80040(20) = 800 = Fixed costs ✓

💡 Strategic Tip: Break-even: revenue must cover all costs.

Choice A is incorrect because 40(15)=600<80040(15) = 600 < 800 (loss).

Choice C is incorrect because 40(25)=1000>80040(25) = 1000 > 800 (profit, past break-even).

Choice D is incorrect because 40(32)=1280>80040(32) = 1280 > 800 (profit).