Set 4: Systems of Equations (Intermediate)
Explanation
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?
120 shirts
130 shirts
135 shirts
140 shirts
Detailed Explanation
Choice C is correct. Choice C is the correct answer. Let = number of shirts. Profit equation: Revenue - Total Cost = Profit $$$15x - (600 + 8 x) = 3507x = 950$x = \frac{950}{7} \approx 135.7$$ 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
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