SOLUTION: Please help me with this. The daily profit from the sale of a product is given by{{{ P=18x-0.2x^2-97}}} dollars what is the maximum profit?

Question 519666: Please help me with this. The daily profit from the sale of a product is given by dollars what is the maximum profit?

Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
Please help me with this. The daily profit from the sale of a product is given by dollars what is the maximum profit?
.

reordering:

Because the coefficient associated with the x^2 term is negative, we know it is a parabola that opens downwards -- the vertex gives the max.
.
max x is at
x = -b/(2a)
x = -18/(2(-0.2))
x = -18/(-0.4)
x = 45
.
to find the max profit plug it back into:

dollars

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