The cost, in dollars, of manufacturing x refrigerators is 9 , 000 + 400x. The revenue received when selling x refrigerators is 500x dollars. What is the minimum number of refrigerators that must be manufactured and sold so that the revenue is at least equal to the manufacturing cost?

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GRE Quantitative Reasoning QUESTION #8115

Question 1

The cost, in dollars, of manufacturing $x$ refrigerators is $9{,}000 + 400x$. The revenue received when selling $x$ refrigerators is $500x$ dollars. What is the minimum number of refrigerators that must be manufactured and sold so that the revenue is at least equal to the manufacturing cost?

$10$
$18$
$45$
$90$✔️

Correct Answer Explanation

Set revenue $\geq$ cost:

$500x \geq 9{,}000 + 400x$

$100x \geq 9{,}000$

$x \geq 90$

The minimum number of refrigerators is $\mathbf{90}$.

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