Please prvide a very detailed process with every step and used function if possible, the formular sheet is provided as well, which might help. Thanks so much!

12. Important economic definitions . Total Revenue (TR) = PxQ . Total Cost (TC) = Fixed cost (FC) + Variable cost (VC) . Average Cost (AC) = TC . Average Revenue (AR) = TR Q . Marginal Cost (MC) = d(TC) dQ . Marginal Revenue (MR) = d(TR) dQ . Profit = TR - TC . At the break-even, TR = TC or Profit = 0 . At the equilibrium, Pa = Ps = P and Qa = Qs = Q . If price discrimination is not permitted, then P1 = P2 = P. The overall demand is the sum of the two separate demands: Q = Q1 + Q2QUESTION 2 The supply and demand functions of a good are given by P5 = 32 + (2,2 and PD = 140 933 where P5,PD, Qs and QD are the price and quantity supplied and demanded, respectively. a) Calculate the producer's surplus and consumer's surplus at the equilibrium point. b) Explain the effect, if any, on producer's surplus if the government imposes a xed tax on this good (note: no calculation expected\