Posted by **Sharma** on Sunday, July 8, 2007 at 5:33pm.

The following relations describe the supply and demand for posters.

Qd = 65,000 – 10,000 P

Qs = -35,000 + 15,000P

Where Q is the quantity and P is the price of a poster, in dollars.

a. Complete the following table.

Price Qs Qd Surplus or Shortage

$6.00

5.00

4.00

3.00

2.00

1.00

b. What is the equilibrium price?

Chapter 4 Page 108 Problem 2

The demand function for a cola-type soft drink in general is Q = 20-2P, where Q stands for quantity and P stands for price.

1. Calculate point elasticities at prices of 5 and 9. Is the demand curve elastic or inelastic at these points?

2. Calculate arc elasticity at the interval between P = 5 and P = 6.

3. At which price would a change in price and quantity result in approximately no change in total revenue? Why?

a. Is just a metter of plugging in numbers.

When P = $6, Qd (demand) = 5000 and Qs = 55,000, for a surplus of 50,000.

When P=$4, 4, Qd = 25,000 and Qs = 25,000

etc

b. Clearly the equilibrium price is $4, since that is where Qs=Qd

For problem 2, review the definitions of point and arc elasticites and compute the approprate values.

Revenue is

R = P*Q = 20P - 2P^2.

dR/dP = 0 when 20 - 4P = 0

P = $5 is the price at which small price changes do not affect revenue

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