Please provide the mathematical working for these questions. Reasoning is not required. Questions are attached.

In Australia, the demand curve for the economics textbook titled \"Economics for Down-under Students\" published by Emu University Press is described by the following equation Q1: 120 -p1 if 331 is not greater than 120 (and q1 = 0 if 391 > 120), where 331 is the price in the Australian market (measured in Australian dollars) and q1 is the quantity demanded by Australian resi- dents. Emu University Press wants to sell the same textbook in New Zealand. The demand curve for this book in the New Zealand market is (12 = 100 -p2 if 332 is not greater than 100 (and q2 = 0 if p; > 100), where 332 is the price in the New Zealand market (also measured in Australian dollars) and (12 is the quantity demanded by New Zealand residents. Emu University Press's marginal cost of printing a book is 40 Australian dollars (independent of where it is printed). There are no xed costs. (i) Suppose that Emu University Press wants to set different prices in dierent markets, and suppose that no one is allowed to ship books from one market to the other. Find the monopoly prot maximizing prices pi\" and 333'. Compute Emu University Press's prot in market 1 (Australia) and market 2 (New Zealand), and nd the consumer surplus in each market. (5 marks.) (ii) Now, suppose that the governments of the two countries get together and pass a law that bans price discrimination on textbooks. Emu University Press must therefore set the same price, say 33*, in both markets. Given that the marginal cost of printing a book is 40, nd the value of 39'\" that maximizes the sum of the prots that Emu University Press make on the textbook. Compute the consumer surplus in each market under the uniform price p'\". (5 marks.) (iii) Compute 33* if the marginal cost is 81 instead of 40. (5 marks.) (iv) Compute 33* if the marginal cost is 89 instead of 40. (5 marks.)