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Homework answers / question archive / The following table shows the private value, private cost, and external cost for various quantities of output in a market
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)?
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.