In Maine there are two publishers competing in the market for economics textbooks: Xanadu and Yellow Submarine. The demand for the Xanadu textbooks is given by the function QDX = 5000 – 4PX + 3PY + 0.05M + 0.001AX, where PX is the price of the Xanadu book, PY is the price of the Yellow Submarine book, M is the average income in Maine and AX is the amount Xanadu spends on advertising. What is the cross-price elasticity of demand between Xanadu textbooks and Yellow Submarine textbooks when PX = 100, PY = 80, M = 5000, and AX = 2000?
Cross price elasticity of demand(ec) is given by :
Demand is given by :
QDX = 5000 – 4PX + 3PY + 0.05M + 0.001AX .
Also It is given that PX = 100, PY = 80, M = 5000, and AX = 2000
=> QDX = 5000 – 4*100 + 3*80 + 0.05*5000 + 0.001*2000 = 5092
Hence, the cross-price elasticity of demand between Xanadu textbooks and Yellow Submarine textbooks = 0.047
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