Acompany estimates that the marginal cost (in dollars per item) of producing x items is 1.65 − 0.002x. if the cost of producing one item is $570, find the cost of producing 100 items. (round your answer to two decimal places.)

The cost of producing 100 items is $723.35

Step-by-step explanation:

The marginal cost is the derivative of the total cost function, so we have

To find the total cost function we need to do integration

Apply the sum rule to find the integral

D is the constant of integration

We are given that C(1) = $570, we can use this to find the value of the constant in the total cost function

So the total cost function is and the cost of producing 100 items is

x=100

this is a very good question

step-by-step explanation:

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