Question

A manufacturer has found that marginal cost is dc/dx=3x^2-60x+400 dollars per unit when x units have been produced

A manufacturer has found that marginal cost is dc/dx=3x^2-60x+400 dollars per unit when x units have been produced. The total cost of producing the first 2 units is $900. What is the total cost of producing the first 5 units?

I would integrate, you are given at x=2 the cost, which lets you determine the constant of integration.

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