SOLUTION: The owner of a sidewalk expresso stand that the weekly profit for their business is a function of the price they charge per cup. If x equals the price(in dollars) of one cup, the w

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Question 194959: The owner of a sidewalk expresso stand that the weekly profit for their business is a function of the price they charge per cup. If x equals the price(in dollars) of one cup, the weekly profit is given by P(x) = -2900x^2+7250x -2900.
Approximate the maximum profit and the price per cup that produces that profit
Answer by josmiceli(6783) (Show Source):
You can put this solution on YOUR website!

When an equation is of the form
, the max or min
occurs where
In this case,

The maximum (in this case) occurs at

The price per cup for maximum profit is $1.25

The maximum profit is $1631.25
To check this answer, both $1.24 per cup
and $1.26 per cup should give a little
less profit.
For $1.26/cup, I get $1630.96