Question

A sportswear manufacturer determines that the marginal cost in dollars of producing x warm-up suits is given by 20 - 0.015x. If the cost of producing one suit is $25. Find the cost function and the cost of producing 50 suits

Answer 1

@angle would you mind assisting whenever you get a chance? I think I have an idea of how to solve this but want a second opinion

Answer 2

From what I understand, the marginal cost is the derivative of the total cost, so would you just take the integral of the marginal cost function, plug in 25 to get the constant C, then go back and evaluate the total cost function at x = 50?