Answer:
$978
Step-by-step explanation:
Given:
- y = amount of profit
- x = selling price of each widget

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.
<u>Differentiate equation</u>


<u>Set differentiated equation to zero and solve for x</u>:




<u>Maximum profit</u>
Substitute x = 39 into the equation:

Therefore, max profit is $978