Please help with these review problems from the book. Please show all work by hand. I GIVE GOOD POSITIVE RATINGS!!!

2. Tax Incidence: How do the effects of a tax differ between markets with different elasticities of supply? Consider two hypothetical markets. In both cases, the demand function is 0.0 = 450 .SP The two supply functions are 051 = .5P 50 and Q52 = P 300 a. Solve for equilibrium price and quantity for both cases and show that the equilibrium values are the same in these two cases (for 051 and OD and for $2 and OD). Plot the supply and demand curves (with P as function of Q) for the two markets on the same graph. (10) b. Now suppose a tax is imposed in both markets, equal to $100 per unit purchased. Model this as a shift in the demand curve (so that (10 now depends on P, the net price paid to the firm, plus the tax). Illustrate the new demand curve on your graphs (label everything clearly). Derive the new equilibrium price (the net price received by the firm) and quantity for each of the two cases. Which producer faces a greater tax incidence the one with supply curve 51 or the one with supply curve 52? (10) c. Calculate deadweight loss in each case. In which case is deadweight loss greater