. The demand for good X is given by this equation:
Q x= 1.0–2.0Px +0.8I +1.5P –3P z+ 1.0A
where PX, PY, and PZ represent the prices of goods X, Y, and Z; I measures income per capita; and A is advertising. Currently:
P x = 2.00, P y =2.50, P z= 1.00, I= 4, and A= 3.05.
a. Is good X a necessity or a luxury good? How do you know? (4 marks)
b. Calculate the cross elasticity of demand for X with respect to the price of
good Z. Are goods X and Z substitutes or complements? (4 marks)
c. Calculate the advertising elasticity of demand for X. Interpret your answer. (4
marks)
d. What kind of change in the price of X would you recommend if the firm is interested in maximizing revenue? (8 marks)