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Point Income Elasticity/Point Cross Elasticity

5. The McNight company is a major producer of steel. Management estimates that the demand for the company's steel is given by the equation:
Qs=5,000-1000Ps + 0.1I + 100 Pa
Where Qs is steel demand in thousands of tons per year, Ps is the price of steel in dollars per pound, I is income per capita, and Pa is the price of aluminum in dollars per pound. Initially, the price of steel is $1 per pound, income per capita is $20,000 and the price of aluminum is $0.80 per pound.
a. How much steel will be demanded at he initial prices and income?
b. What is the point income elasticity at the initial values?
c. What is the point cross elasticity between steel and aluminum? Are steel and aluminum substitutes or complements?
d. If the objective is to maintain the quantity of steel demanded as computed in part (A), what reduction in steel price will be necessary to compensate for a $0.20 reduction in the price of aluminum?

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Answer (a):
Qs=5,000-1000Ps + 0.1I + 100 Pa
Ps = 1
I= 20,000
Pa = 0.80

Putting these values in the demand curve above we get:
Qs = 5000 - 1000x1 + 0.1x20000 + 100x0.80
= 5000 - 1000 + 2000 + 80
= 6080

Answer ...

Solution Summary

The solution explains the price elasticity of demand concept using the scenario provided.