159k views
0 votes
Location Choice: Oklahoma City currently has an NBA team (the Thunder). Demand for Thunder games in Oklahoma City is given by:

Pok(Qok) = 490 − 2Qok

Seattle does not currently have an NBA team, but they would like to attract the the Thunder. Demand for Thunder games in Seattle is given by:

Ps(Qs) = 430 − 2Qs

The marginal cost of production in both cities is constant at MC = 70.

Suppose that cities can offer bids to attract the team.

a) What is the value (consumer surplus) in Oklahoma City?

b) What is the value (consumer surplus) in Seattle.

c) Will the Thunder move to Seattle?

d) How much is the winning bid?

e) What is the profit plus bid for the Thunder?

f) What is the value minus bid for the winning city?

1 Answer

4 votes

Final answer:

To calculate the consumer surplus in Oklahoma City, find the equilibrium price and quantity and use the area formula. Repeat the same process for Seattle.

Step-by-step explanation:

To determine the consumer surplus in Oklahoma City, we need to find the area under the demand curve and above the price. The demand function for Oklahoma City is Qok = 245 - (1/2)Pok, which can also be written as Pok = 490 - 2Qok. The equilibrium price in Oklahoma City is where quantity demanded equals quantity supplied, so we set Qok equal to Qs and solve for Pok.

To calculate the value of consumer surplus, we need to find the area under the demand curve and above the equilibrium price. The area of a triangle is given by the formula A = 1/2 * base * height. In this case, the base is the quantity difference between the equilibrium quantity and the quantity demanded at price zero, and the height is the difference between the equilibrium price and zero. By substituting the values, we can calculate the consumer surplus in Oklahoma City.

The process to calculate the consumer surplus in Seattle is similar to that in Oklahoma City. We need to find the equilibrium price and quantity by setting Qs equal to Qd, and then find the area under the demand curve and above the equilibrium price. By substituting the values into the formula, we can calculate the consumer surplus in Seattle.

User Nirbhay Rana
by
7.7k points