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# Math question ?

The function P= -h^2 + 60h -400 models the daily profit a barbershop makes from haircuts that include a shampoo. Write the function in vertex form to find the price that yields the maximum daily profit and the amount of daily profit.

If you could explain how you did it that would help. Thanks! :^)

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- mlam18Lv 61 decade agoFavorite Answer
P= -h^2 + 60h -400

=-(h²-60h)-40

= -(h²-60h+900)+900-400

= -(h-30)²+500

Vertex (30,500)

$30 yield max profit $500

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