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18 Sep 2025, 09:15
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Difficulty:
55%
(hard)
Question Stats:
55% (01:32) correct
44% (02:37) wrong based on 9 sessions
History
Date
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In a given month, a restaurant spends between 55% and 70% of its revenue on food and supplies, and between 23% and 28% of its revenue on staff salaries. The remaining revenue is the restaurant’s net profit. If the restaurant earned $80,000 in revenue one month, which of the following could have been its net profit?
Indicate all that apply.
A. $1,000
B. $1,700
C. $10,000
D. $17,000
E. $18,000
Indicate all that apply.
A. $1,000
B. $1,700
C. $10,000
D. $17,000
E. $18,000
28 Sep 2025, 04:33
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Official Explanation
The restaurant will spend more than 55 + 23 = 78% of its revenue but less than 70 + 28 = 98% of its revenue on food, supplies, and staff salaries combined. Then its remaining net profit, after these expenses are subtracted from revenue, will be between 2% and 22% of revenue, because 100 – 78 = 22, and 100 – 98 = 2. Then for a revenue of $80,000, the profit, p, will satisfy \(.02 × 80,000 < p < .22 × 80,000,\) which implies \(1600 < p < 17600.\) (B), (C), and (D) satisfy this.
Answer: B,C,D
The restaurant will spend more than 55 + 23 = 78% of its revenue but less than 70 + 28 = 98% of its revenue on food, supplies, and staff salaries combined. Then its remaining net profit, after these expenses are subtracted from revenue, will be between 2% and 22% of revenue, because 100 – 78 = 22, and 100 – 98 = 2. Then for a revenue of $80,000, the profit, p, will satisfy \(.02 × 80,000 < p < .22 × 80,000,\) which implies \(1600 < p < 17600.\) (B), (C), and (D) satisfy this.
Answer: B,C,D
