A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation. Using this equation, find out
the maximum amount of profit the company can make, to the nearest dollar,
y=
-x^2+78x-543

$978

Step-by-step explanation:

Given:

To find the maximum amount of profit, differentiate the equation, set it to zero and solve for x.  Substitute found value of x into the original equation.

Differentiate equation

Set differentiated equation to zero and solve for x:

Maximum profit

Substitute x = 39 into the equation:

Therefore, max profit is $978

step-by-step explanation:

the answer is d

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