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# Paint and Framing

Pro Problems > Math > Calculus > Differential > Max and Min

## Paint and Framing

An art store struggles to compete against online retailers. Therefore, they choose to sell some of their supplies at a loss, recognizing that it's the only way to get customers in the store. By experimentation, they discover that if they sell tubes of paint at a loss of L cents per tube, they will get 2L2 customers in the store each day, with each customer purchasing (on average) 3 tubes of paint. Of those customers,
L
5
will then purchase a custom framing job. If each custom framing job results in a \$20 profit for the store, how much should the art store discount tubes of paint?

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Problem by Mr. Twitchell

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