10
Answer: BSet 13: Systems of Equations (Intermediate)
Explanation
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.✓ Correct
625 units
C.
650 units
D.
700 units
Detailed Explanation
Choice B is correct. Choice B is the correct answer. Let = units sold. Profit equation: Revenue - Total Cost = Profit $$$20x - (3000 + 12 x) = 20008x = 5000x = 625$$ Solution: 625 units Verification: Revenue = 20(625) = 12500, Cost = $$3000+ 12(625) = 10500$$, Profit = 2000$ ✓ Strategic Tip: Profit = Revenue - (Fixed + Variable Costs). Other choices fail verification.
Key Steps:
•
The correct answer is 625 units
Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
C: Choice C is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.
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