Suppose that the market for cheddar cheese is perfectly cormpetitive. Let P = price ($) per pound of cheese, Q = thousands of pounds of cheese per year, and M = total annual income of cheddar cheese consumers (in millions of dollars). The demand and supply functions are: Demand: QD = 50 - 10P + 2M Supply: Qs = 30OP – 150 a. Find the market equilibrium quantity and price when M = 100. Q* = p* = b. Find the market equilibrium quantity and price when M = 150. Q' = P' = c. Calculate the arc income elasticity of demand in the income range from 100 to 150. Arc Income Ep = %3D
Suppose that the market for cheddar cheese is perfectly cormpetitive. Let P = price ($) per pound of cheese, Q = thousands of pounds of cheese per year, and M = total annual income of cheddar cheese consumers (in millions of dollars). The demand and supply functions are: Demand: QD = 50 - 10P + 2M Supply: Qs = 30OP – 150 a. Find the market equilibrium quantity and price when M = 100. Q* = p* = b. Find the market equilibrium quantity and price when M = 150. Q' = P' = c. Calculate the arc income elasticity of demand in the income range from 100 to 150. Arc Income Ep = %3D
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Could you help me with a-d I’m unsure of how to solve for equilibrium or elasticity when there is the income variable involved. Explanation or reference to key formulas would help a lot! Thank you
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Income elasticity of demand measures the responsiveness in quantity demanded of a commodity to a change in consumer income.
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