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please justify as possible not by hand ... The demand and supply functions for seats on...

please justify as possible not by hand ... The demand and supply functions for seats on a special shuttle flight from Dubai to Jeddah, Saudi Arabia, have been estimated as follows: Qd = 90-2P+.05Y -0.5W+1.25Pc Where: Qd = quantity demanded; P = price; Y = Income; W = weather; Pc = price of competition; Qs = -20-5Pf +3P Where: Qs = quantity supplied; Pf = price of fuel; Assuming: Y = 100, W = 70, Pc = 16, a) Derive the demand equation. (1 Point) b) Derive the supply equation. (1 Point) Pf = 6 c) Determine the equilibrium price and quantity. (1 Point) d) What is the price elasticity of demand at the equilibrium price? (1 Point) e) Calculate the income elasticity of demand EM. Is good X normal or inferior? (1 Point) f) Show the effect of an increase in the price of the substitute from 16 to 20 AED on the equilibrium price and quantity.

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