Can I get some help with this assignment question? I need the answer by 4 PM. Thank you.

5. (26 pts) The inverse demand function and the total cost function for a good are given by the following two functions, where @ > 0 is the quantity produced and sold: P(Q) = 4- - and TC(Q) = 302 20 10 + 2Q + 2 (a) Find the level of output Q" that maximizes total revenue (apply all necessary and sufficient conditions). Graph the revenue function indicating all the critical points (intercepts and maximum point). Be sure to show all steps used to derive Of and critical points. (b) Find the level of output Q" that minimizes average variable cost (apply all necessary and sufficient conditions). Graph the cost function indicating all the critical points (intercepts and minimum point). Be sure to show all steps used to derive Q" and critical points. (c) Find the level of output @* that maximizes profit (apply all necessary and sufficient conditions). Graph the profit function indicating all the critical points (intercepts and extrema points). Be sure to show all steps used to derive Q* and critical points. (d) Find the second order (n = 2) Taylor series of the profit function at Q = 4. How accurate is the approximation? Calculate the error