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Jnnks · Answer 1 · 2023-02-25T13:44:16+0000

Explanation:

We can find the maximum profit by taking the derivative of the profit and then solving for the widget price x that will maximize it. It is done by equating the derivative to zero:

(dy)/(dx) = -12x + 600 = 0

Solving for x, we get

$x = (600)/(12) = \$50$

By setting the widget price to $50, the company can maximize their profits. To find this maximum profit, substitute the value of x into the equation for the profit:

y = -6(50)^2 + 600(50) - 5726

$\;\;\;=\$9,274$

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