Question

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...

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.

  1. If Y=$5,000
  2. Y=$5,000 and w=$10,
  3. w=$10, use Excel to calculate quantity demanded and quantity supplied for p=$5,
  4. p=$5, $10, $15, $20, $25, and $30. Calculate excess demand for each price. (Note that an excess supply is negative excess demand.) Determine the equilibrium price and quantity. Use Excel's charting tool to draw the demand and supply curves.
  5. Assume that Y increases to $6,875 and w increases to $15. Use Excel to recalculate quantity demanded, quantity supplied, and excess demand for p=$5,
  6. p=$5, $10, $15, $20, $25, and $30. Determine the new equilibrium price and quantity. Use Excel to draw the new demand and supply curves. How can you explain the change in equilibrium?

Homework Answers

Answer #1

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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