Question

A company estimates that the marginal cost (in dollars per item) of producing x items is 1.71 − 0.006x. If the cost of producing one item is $566, find the cost of producing 100 items

Answer 1

Marginal Cost = dC/dx = 1.71 − 0.006x
Integrate to find the cost C.
You can determine the constant from integration knowing that it costs $566 when x = 1.
Once the C as a function of x is known, put x = 100 and compute C.