Question

Suppose there are 100 consumers in the computer speaker market, each with an identical demand curve given by Qi = 10 – 0.1P, where P is the price per pair of speakers, and Qi measures the quantity demanded of computer speakers by each person. The market supply for computer speakers is given by QS = 20P – 200. The equilibrium quantity in the computer speaker market is ____.

Answer 1

Answer:

Equilibrium Price = 40 ; Equilibrium Quantity = 600

Explanation:

Equilibrium is where : Market Quantity Demanded =  Market Quantity Supplied

Market Quantity Demanded = No. of Consumers x Individual Demand Curve

= N x Qi = 100 [10 - 0.1P] = 1000 - 10P  

Market Quantity Supplied = Qs [Given]  

So, Equilibrium is where :

1000 - 10P = 20 P - 200

1000 + 200 = 20P + 10P

1200 = 30P

P = 1200 / 30 = 40 [Equilibrium Price]

Equilibrium Quantity : Putting Equilibrium price value in Quantity demanded & quantity supplied;

Quantity Demanded = 1000 - 10 (40) = 1000 - 400 = 600

Quantity Supplied = 20 (40) - 200 = 800 - 200 = 600