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Consider the supply and demand for cell phones. The market demand for cars is gi

ID: 1189082 • Letter: C

Question

Consider the supply and demand for cell phones. The market demand for cars is given by Q_D = 7000-30P and supply is given by Q_S = 1000

a) Find the equilibrium price and quantity.

Suppose that consumers change their expectations and believe their future income will be lower. This causes the demand curve to shift to Q_D=6500-30P

b) If prices are sticky, does this shock lead to a surplus or a shortage? By how much?

c) If prices are flexible, does this shock lead to inflation or deflation? By how much?

Explanation / Answer

(a)

In equilibrium, QD = QS

7000 - 30P = 1000

30P = 7000 - 1000 = 6000

P = 6000 / 30 = 200

Q = 1000

(b) Sticky price means price will remain at 200.

New demand curve, QD = 6500 - 30P

When P = 200, QD = 6500 - (30 x 200) = 6500 - 6000 = 500

But QS = 1000

So, demand is less than supply, leading to a market surplus equal to (1000 - 500) = 500 units.

(c) Now, price is flexible.

Since QS is unchanged, we equate new QD with QS:

6500 - 30P = 1000

30P = 6500 - 1000 = 5500

P = 5500 / 30 = 183.33

So, price has decreased from 200 to 183.33, equal to 16.67.

This is a deflation, equal to (183.33 - 200 / 200 = 8.34%