Suppose a market’s demand and supply curves take on the following characteristics:
QD = 100 – 2.9(P) + 0.93(Y – T)
QS = 2(P)
where:
QD quantity demanded
QS quantity supplied
P price of the commodity
Y personal income
T personal taxes
Given the above model, please answer the following questions:
1. What is the market-clearing price and quantity if personal taxes (T) equal zero and personal income (Y) is $400?
4. If we added the real wealth term “+0.01(W)” to the demand equation, how much would your answer change in question 1 (price and quantity) if the level of real wealth was $3,000 (i.e., W = 3,000)? Draw a graph depicting the effects this has upon market equilibrium compared to your answer to part 1
QD = 100 – 2.9(P) + 0.93(Y – T)
QS = 2(P)
1) T (tax) = 0 & Y= income= 400
so, QD =QS
therefore, 100 – 2.9(P) + 0.93(Y – T) = 2(P)
100- 2.9 P + .93* 400 = 2P (solve this)
P= 96.32 (ANSWER)
4) A new term has to be added that is .01 W.
So, new equlibrium is
100 – 2.9(P) + 0.93(Y – T) + .01W =2P. (where W= 3000)
100- 2.9P + .93*(400-0) +.01*3000 = 2P (solve this)
P = 102.44 (Answer)
Due to weath the QD line shifts upward where as QS line is still the same , hence the price increase from 96.32 to 102.44. (Image is not uploaded due to technical gliches)
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