a) Given TC = 30 + 3q + 4q^2 + q^3, determine the values for AFC, AVC, ATC, and MC at
Q = 5.
b) Graphically illustrate and describe the relationship between the cost curves in
part (a).
c) Derive and explain the relationship between marginal cost and marginal product. Describe the law of diminishing marginal returns and how it relates to marginal cost and marginal product.