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salantis
2 months ago
15

The cost in dollars to produce x cups of lemonade is represented by the function C(x) = 10 + 0.20x. The revenue in dollars earne

d by selling x cups of lemonade is represented by the function R(x) = 0.50x. What is the minimum number of whole cups of lemonade that must be sold for the revenue to exceed the cost?
Mathematics
1 answer:
AnnZ [12.3K]2 months ago
8 0
Revenue must be greater than Cost: R(x) > C(x), which translates to 0.50x > 10 + 0.20x. After simplification: 0.50x - 0.20x > 10, leading to 0.30x > 10. Therefore, x > 10/0.30 which gives x > 33.333. Rounding up, we find x = 34, meaning at least 34 cups of lemonade must be sold for revenue R(x) to exceed cost C(x). The answer is 34.
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Detailed explanation:

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