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A building contractor estimates that her profit in dollars for a tall building will be given by the function:
P (h) = -4h2 + 160h,
where h represents the numer of floors in the buliding.
What height will give the maximum profit? What is the maximum profit?
Question to answer: What is the maximum profit?
profit is———
dollars

A building contractor estimates that her profit in dollars for a tall building will be given by the function P h 4h2 160h where h represents the numer of floor class=

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wegnerkolmp2741o

Answer:

The height is 20

The max profit is 1600

Step-by-step explanation:

P (h) = -4h^2 + 160h

The vertex is at

-b/2a = -160/2(-4) = 160/8 = 20

The height that will give the maximum profit is 20

We want to find the value at 20

P(40)  =-4(20)^2 +160(20)

          =-1600+3200

             1600

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