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 What is the maximum profit?
profit is———
dollars

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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step-by-step explanation: