Question

An accessories company finds that the cost, in dollars, of producing x belts is given by $C(x) = 750 + 40x - 0.063x^2$. Find the rate at which average cost is changing when 177 belts have been produced. First, find the rate at which the average cost is changing when x belts have been produced. $\bar{C}'(x) = \frac{750}{x^2} - 0.063$ When 177 belts have been produced, the average cost is changing at dollars per belt for each additional belt. (Round to four decimal places as needed.)

          An accessories company finds that the cost, in dollars, of producing x belts is given by $C(x) = 750 + 40x - 0.063x^2$. Find the rate at which average cost is changing when 177 belts have been produced.

First, find the rate at which the average cost is changing when x belts have been produced.

$\bar{C}'(x) = \frac{750}{x^2} - 0.063$

When 177 belts have been produced, the average cost is changing at  dollars per belt for each additional belt.
(Round to four decimal places as needed.)

An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 750 + 40x - 0.063x^2. Find the rate at which average cost is changing when 177 belts have been produced.

First, find the rate at which the average cost is changing when x belts have been produced.

C̅'(x) = (750)/(x^2) - 0.063

When 177 belts have been produced, the average cost is changing at dollars per belt for each additional belt.
(Round to four decimal places as needed.)

Added by Alan W.

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