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.

$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

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step-by-step explanation: