please help

The average revenue {demand} for product El is given by AR = 3m - El and the total cost of Cl by: ETC = li + IDQ + Q3 c Note: this is not a typical cubic function a. Find the price function and then the TR function. Hint: another name for price is average revenue [AR]. it. Write the MR and rrro functions below. Remember: HR = mgr; and "C = more c. What positive value of Q will maximize total prot? Remember, letting HR = MG signals the objective of total profit maximization. Solve HR = MC for ill. The value of El you get should not be zero or negative. d. Use the price funcon found in [a] to determine the price per unit that Iiiirill need to be charged at the Cl found in {c}. This will be the price you should aslr for the total profit maximizing quantity. e. What total prot will result from selling the quantity found in to] at the price found in to}? Hint: the prot runetion is found as TR sTo. f. At what level of t is revenue maximized? mg HR = III and solve for El. MR = l] signals the objective of maximizing revenue. g. At what level of l] is average profit per unit maximized? Hint: the average prot function is the total prot function found in {e} divided by El. To find the level of (it that maximizes average prot. nd the rst derivative of average profit. set this derivative equal to zero and solve for El. h. What price per unit should be charged at the quantity found in [g]? Simply plug the t you got in {g} into the same price function you found in la} _a_r;r_d__a_l_s_g used in {d}