PLEASE HELP SOLVE THE FOLLOWING

e) Carry out a simulation experiment to compare the distributions of M for various sample sizes. (Hint: Write a computer program to generate the digits 0-9 from a discrete uniform distribution. Assign a value of x = 0 to the digits 0-4, a value of x = 5 to digits 5-7, and a value of x = 10 to digits 8 and 9. Generate samples of increasing sizes, keeping the number of replications constant, and compute M = max(X1,..., Xn) from each sample.) How does the distribution change as n increases?2. The market demand and supply functions for an item are as follows: 9d = 24 - p 4s = 2p. (a) Calculate the equilibrium price and quantity. (b) Suppose the government imposes a per unit tax of Rs 1.50 on sellers. How is the economic burden of the tax distributed across buyers and sellers? Also calculate the deadweight loss of the tax. (c) Consider a general tax rate t per unit, to be paid by the sellers. Find the value of t that maximizes tax revenue for the government. (d) If the government chooses t to maximize the sum of consumers' surplus, producers' surplus and tax revenue, what would be the optimum choice?An industry's inverse demand was PD = 20 - 6.10 and its inverse supply was P5 = 4 + I110. a. Calculate the consumer surplus, producer surplus, government revenue and deadweight loss for taxes of 54, SB, 512 and $16 per unit sold. o. Graph govern merrt revenue and dead weight loss as functions of these tax rates. c. What tax maximizes government revenue