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Question -

Find the maximum profit that a company can make, if theprofit function is given by

p(x)= 41 − 72− 18x2



Answer -

The profit function isgiven as p(x) = 41 − 72− 18x2.

By secondderivative test, x=-2 is the point oflocal maxima of p.

Hence, the maximum profit that the company can make is113 units.

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