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# Mathematics Problem watch

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1. Does anyone know how to solve this problem WITHOUT USING CALCULUS. My little sister can't seem to figure it out.

Dimples the clown has been charging \$260 to perform at a children's party. He thinks that each raise of \$80 in charge for a part will result in one fewer booking per month. Dimples performs at 20 children's parties each month at his current price. How much should he charge to maximize his monthly revenue?

2. (Original post by natashavictoria)
Does anyone know how to solve this problem WITHOUT USING CALCULUS. My little sister can't seem to figure it out.

Dimples the clown has been charging \$260 to perform at a children's party. He thinks that each raise of \$80 in charge for a part will result in one fewer booking per month. Dimples performs at 20 children's parties each month at his current price. How much should he charge to maximize his monthly revenue?

Completing the square as a continuous approximation to the solution.

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Updated: February 17, 2016
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