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 ____.

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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

The equilibrium quantity in the computer speaker market is 600.

The equilibrium point in a market is the point at which the demand curve interests the supply curve. At the point, the quantity demanded would be the same as the quantity supplied. The quantity at equilibrium is known as equilibrium quantity and the price is known as equilibrium quantity.

In order to determine the equilibrium quantity, equate the demand and supply functions together. This is done because at equilibrium, quantity demanded and supplied would be equal.

Qd= Qs

Qd = Qi x number of consumers

(10 - 0.1P) x 100 = 1000 - 10p

1000 - 10p = 20P - 200

Combine similar terms

1000 + 200 = 20p + 10p

1200 = 30p

p = 40

Substitute for p in the supply equation

20(40) - 200

800 - 200 = 600

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