## The cost, in dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The revenue, in dollars,

Question

The cost, in dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The revenue, in dollars, of producing and selling x belts is given by Upper R (x )equals 43 x Superscript three fourths . Find the rate at which average profit is changing when 484 belts have been produced and sold.

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2022-01-03T14:04:30+00:00
2022-01-03T14:04:30+00:00 1 Answer
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## Answers ( )

Answer:$68.44 for each additional belt

Step-by-step explanation:The cost and revenue functions are:

The profit function, P(x), is given by subtracting the cost function from the revenue function.

The derivate of the profit function gives us the rate at which profit changes:For x = 484, the rate of change is:Profit is increasing by $68.44 for each additional belt