8.2
In Smalltown, Pennsylvania, the demand function for men's haircuts is Qd=500−30p+0.08Y, Qd=500−30p+0.08Y, where Qd
Qd is quantity demanded per month, p the price of a haircut, and Y the average monthly income in the town. The supply function for men's haircuts is Qs=100+20p−20w, Qs=100+20p−20w, where Qs Qs is the quantity supplied and w the average hourly wage of barbers.
SOLUTION:-
(a)
Qd = 500 - 30p + 0.08y |
Qs =100 + 20p -20w |
y = $5000 |
w = $10 |
p | Qd | Qs | Excess Demand |
5 | 750 | 0 | 750 |
10 | 600 | 100 | 500 |
15 | 450 | 200 | 250 |
20 | 300 | 300 | 0 |
25 | 150 | 400 | -250 |
30 | 0 | 500 | -500 |
Equilibrium Price =$20 |
Equilibrium Quentity =300 |
(b)
Qd = 500 - 30p + 0.08y |
Qs = 100 + 20p -20w |
y = $6875 |
w = $15 |
p | Qd | Qs | Excess Demand |
5 | 900 | -100 | 1000 |
10 | 750 | 0 | 750 |
15 | 600 | 100 | 500 |
20 | 450 | 200 | 250 |
25 | 300 | 300 | 0 |
30 | 150 | 400 | -250 |
Equilibrium price = $25 |
Equilibrium Quantity = 300 |
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