Question

Question 6. Find the maximum profit that a company can make, if the
profit function is given by p(x) = 41 - 72x-18x.
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Answer 1

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Answer 2

Answer:

8141

Step-by-step explanation:

Given, profit function , p(x) = 41 - 72x-18x

                                             = 41 - 90x

Since , we have to find maximum profit  so, we need to differentiate the profit function with respect to x.

So, $\dfrac{\mathrm{d} f(x)}{\mathrm{d} x}=\dfrac{\mathrm{d} (41-72x-18x)}{\mathrm{d} x}$

           = -90

So, the maximum profit will be occur at x = -90

So, the maximum profit will be, p(x) = 41 - 72x-18x

                                                  =>  p(x) = 41 - 90x

                                                  => p(-90)= 41 - 90(-90)

                                                                 = 8141

So, the maximum profit will be 8141.