8
algebra

A factory has fixed costs of $3,000/week plus $12 per unit produced. Units sell for $20. How many units must be sold weekly to earn $2,000 profit?

A

600 units

B

625 units

C

650 units

D

700 units

Correct Answer: B

Choice B is the correct answer. Let xx = units sold.

Profit equation: Revenue - Total Cost = Profit 20x−(3000+12x)=200020x - (3000 + 12x) = 200020x−3000−12x=200020x - 3000 - 12x = 20008x=50008x = 5000x=625x = 625

Solution: 625 units

Verification: Revenue = 20(625)=1250020(625) = 12500, Cost = 3000+12(625)=105003000 + 12(625) = 10500, Profit = 20002000 ✓

💡 Strategic Tip: Profit = Revenue - (Fixed + Variable Costs).

**Other choices fail verification.

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Linear Functions Set 60