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The following table shows the private value, private cost, and external cost for various quantities of output in a market

Marketing Dec 26, 2020

The following table shows the private value, private cost, and external cost for various quantities of output in a market.

 

Quantity Private value Private cost External cost
1 $14 $10 $2
2 13 11 2
3 12 12 2
4 11 13 2
5 10 14 2
6 9 15 2
7 8 16 2

a) What is the competitive equilibrium (PP and QQ) in this market (i.e. the equilibrium) with no government intervention?

b) What is the socially optimal equilibrium (PP and QQ)?

Expert Solution

Quantity Private value Private cost External cost Social cost =   Private cost + External cost
1 $14    $10    $2    $12   
2 13 11 2 $13   
3 12 12 2 $14   
4 11 13 2 $15   
5 10 14 2 $16   
6 9 15 2 $17   
7 8 16 2 $18   

 

a) The competitive equilibrium price and quantity is where Private value = Private cost. From the table it is seen that P = $12 and Q = 3.

b) The socially optimal equilibrium price and quantity is where Private value = Social cost. From the table it is seen that P = $13 and Q = 2.

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