Compute the following problem using Marginal cost and benefit
Problem-The only choice variable is x. The total benefit function is B(x) = 100x - 2x2, and the total cost function is C(x) = 1/3 x3 - 6x2 + 52x + 80.
Part 1- What are the marginal benefit and marginal cost functions?
Part 2- Set up the net benefit function and then determine the level of x that maximizes net benefit. (Use the positive value of x.)
Part 3- What is the maximum level of net benefit?
I need help to explore the marginal cost and benefit and also describe the functionality of marginal benefit and cost.