3. aP 81 mP. Using differential calculus where appropriate... a. [2] ...find the value of the independent variable \"x\" associated with maximum average Profit \"aPm\" for this product line. Assume that any zero or positive values for the independent variable \"X\" are feasible (i.e. no domain restrictions). b. [I] ...develop the product line's marginal Profit [\"mP\" or (P)'] expression. c. [2] . . .verify the assertion from your undergraduate microeconomics course that, notwithstanding possible rounding issues, at the value of \"x\" associated with a _\" product line's maximum averaae Profit \"aPmax\". \"aPmax\" mP\