SOLUTION: The owner of a sidewalk expresso stand find 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,

Question 195688: The owner of a sidewalk expresso stand find 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 P(x)= -2900x^2 + 7250 - 2900.
Approximate the maximum profit and the price per cup that produces that profit.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!

When the equation is in the form
, the max or min
of the function occurs at:
(max in this case)

At maximum profit, the price per cup is $1.25
And to find the maximum profit:

The maximum profit is $1,631.25
I'll plot to check this:

Looks like I could be right
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