10

Set 4: Systems of Equations (Intermediate)

Explanation

Answer: C

A company makes T-shirts with fixed costs of $600/day and variable cost of $8 per shirt. Shirts sell for $15. How many must be sold daily to earn a profit of $350?

A.

120 shirts

B.

130 shirts

C.

135 shirts

✓ Correct
D.

140 shirts

Detailed Explanation

Choice C is correct. Choice C is the correct answer. Let xx = number of shirts. Profit equation: Revenue - Total Cost = Profit $$$15x - (600 + 8 x) = 35015x6008x=35015x - 600 - 8 x = 3507x = 950$x = \frac{950}{7} \approx 135.7$$ Rounding down: 135 shirts (can't sell fractional shirts) Strategic Tip: Profit = Revenue - (Fixed Costs + Variable Costs). Other choices based on calculation.

Key Steps:

The correct answer is 135 shirts

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B 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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