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

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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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
7
7. Rising Consumer Incomes
Suppose that the market for cheddar cheese is perfectly cormpetitive. Let P = price ($) per
pound of cheese, Q = thousands of pounds of cheese per vear, and M = total annual income of
cheddar cheese consumers (in millions of dollars), The demand and supply functions are:
Demand: Qp = 50 – 10P + 2M
Supply: Qs = 30P - 150
a. Find the market equilibrium quantity and price when M = 100.
Q* =
p* =
Pr.
b. Find the market equilibrium quantity and price when M = 150.
Q' =
P' =
C. Calculate the arc income elasticity of demand in the income range from 100 to 150.
Arc Income ED =
d. Draw the D and S curves and illustrate the demand shift. Label everything.
Transcribed Image Text:7 7. Rising Consumer Incomes Suppose that the market for cheddar cheese is perfectly cormpetitive. Let P = price ($) per pound of cheese, Q = thousands of pounds of cheese per vear, and M = total annual income of cheddar cheese consumers (in millions of dollars), The demand and supply functions are: Demand: Qp = 50 – 10P + 2M Supply: Qs = 30P - 150 a. Find the market equilibrium quantity and price when M = 100. Q* = p* = Pr. 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 ED = d. Draw the D and S curves and illustrate the demand shift. Label everything.
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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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