Answer :

It is given that the profit function p(x) = 41 – 72x – 18x2

p’(x) = -72 – 36 x


and p’’(x) = -36


Now, g’(x) = 0





Then, by second derivative test,


x = -2 is point of local maxima of p.


Therefore, Maximum Profit =


= 113


Therefore, the maximum profit that the company can make is 113 units.

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