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Managerial Eco

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Submitted By waqasashraf
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PROBLEMS

Problem 3.1

Demand and Supply Curves. The following relations describe monthly demand and supply conditions in the metropolitan area for recyclable aluminum

QD = 317,500 - 10,000P (Demand)
QS = 2,500 + 7,500P, (Supply)

where Q is quantity measured in pounds of scrap aluminum and P is price in cents.

Complete the following table:

Price Quantity Quantity Surplus (+) or Supplied Demanded Shortage (-)
(1) (2) (3) (4)= (2)-(3)

15¢
16
17
18
19
20

SOLUTION

Price Quantity Quantity Surplus (+) or Supplied Demanded Shortage (-)
(1) (2) (3) (4)= (2)-(3)

By putting the values of P in the QD & QS equations:

15¢ 115000 167500 -52500
16 122500 157500 -35000
17 130000 147500 -17500
18 137500 137500 0
19 145000 127500 17500
20 152500 117500 35000

Problem3.2

Demand and Supply Curves. The following relations describe monthly demand and supply relations for dry cleaning services in the metropolitan area:

QD = 500,000 - 50,000P (Demand)
QS = -100,000 + 100,000P (Supply)

Where Q is quantity measured by the number of items dry cleaned per month and P is average price in dollars.
A. At what average price level would demand equal zero?
B. At what average price level would supply equal zero?
C. Calculate the equilibrium price/output combination.

SOLUTION

A. From the demand relation, note that demand equals zero when:

QD = 500,000 - 50,000P
0 = 500,000 - 50,000P
50,000P = 500,000
P = $10

B. From the supply relation, note that supply equals zero when:

QS = -100,000 + 100,000P
0 = -100,000 + 100,000P
100,000P = 100,000
P = $1

C. The equilibrium price/output relation is found by setting QD = QS and solving for
P and Q:
QD = QS
500,000 -

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