Qx = 50 - 2Px - Pa + 2Pb - 5I

where Px is the price of product X; Pa is the price of good A; Pb is the price of good B; and I is the consumer's income in thousands.Answer the questions listed below.(IN EACH CASE, YOU MUST SHOW YOUR WORK TO RECEIVE CREDIT)

A) Assume that the price of X is $10.00; the price of A = $5; the price of B is $15.00; and the consumer's income is $10.00, what is the quantity demanded?

B) Compute the price elasticity of demand at Px = $ 5.00. What is your interpretation of the elasticity?

C) Compute the price elasticity of demand at Px = $ 10.00. What is your interpretation of the elasticity?

D) Compute the income elasticity with I = $ 10.00? What type of good is X?

E) Based on the equation of the demand curve, what type of good is X? What is the relationship between Good X and Good A?What is the relationship between Good X and Good B?