QuestionFind the average cost per calculator when producing $x$ thousand calculators, given $C=-7.6 x^{2}+7395 x+290,000$ .

Studdy Solution

STEP 1

Assumptions1. The cost $C$ of producing $x$ thousand calculators is given by the equation $C=-7.6 x^{}+7395 x+290,000$ for $x \leq150$ . . The average cost per calculator is the total cost $C$ divided by the number of calculators produced.

STEP 2

We are asked to write a rational expression that gives the average cost per calculator when $x$ thousand are produced.The average cost per calculator is given by the total cost divided by the number of calculators. In this case, the total cost is $C$ and the number of calculators is $x$ thousand.So, the average cost per calculator is given by the rational expression $\frac{C}{x}$

STEP 3

Now, we can substitute the given equation for $C$ into the rational expression to get the average cost per calculator $\frac{-7.6 x^{2}+7395 x+290,000}{x}$ This is the rational expression for the average cost per calculator when $x$ thousand are produced. We are asked not to simplify this expression, so this is our final answer.

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