Problems and Applications
The many identical residents of Whoville love drinking Zlurp. Each resident has the following willingness to pay for the tasty refreshment:
Quantity Willingness to Pay (Dollars)
First bottle 5
Second bottle 4
Third bottle 3
Fourth bottle 2
Fifth bottle 1
Further bottles 0
The cost of producing a bottle of Zlurp is $1.50, and the competitive suppliers sell it at this price. (The supply curve is horizontal.)
Each Whovillian will consume __ bottles and receive a consumer surplus of _$ . Producing Zlurp creates pollution. Each bottle has an external cost of $1.
Taking this additional cost into account, total surplus per person in the allocation you previously determined decreases to _$ .
Cindy Lou Who, one of the residents of Whoville, decides on her own to reduce her consumption of Zlurp by 1 bottle.
Cindy's consumer surplus (ignoring the cost of pollution she experiences) is now $ . Her decision_ total surplus in Whoville by _$ .
Mayor Grinch imposes a $1 tax on each bottle of Zlurp.
Consumption per person is now _bottles. This yields a per-person consumer surplus of __$ not including the cost of pollution, a per-person external cost of _$ , and government revenue of_ $ per person. Total surplus per person is now $ as a result of this policy. (Hint: Total surplus is equal to consumer surplus minus the external cost of pollution plus government revenue.)
Based on your calculations, you_ support the mayor's policy because it ____welfare compared to before the tax.

1) 4 is choosen because the marginal utility should be less than the marginial cost and if he choose beyong this point, the cost of the drink is more than the willingness to pay

2) The consumer surplus is

= (5 - 1.5) + (4 - 1.5) + (3 - 1.5) + (2 - 1.5)

= 8

3) Total surplus decreases to

= Consumer surplus - external cost

= 8 - 4

= 4

4) Cindy's Consumer surplus is

= (5 - 1.5) + (4 - 1.5) + (3 - 1.5)

= 7.5

5) Increases

6) 8 - 7.5 = 0.5

7) Consumption = 3 bottles

8) Consumer surplus is

= (5 - 2.5) + (4 - 2.5) + (3 - 2.5)

= 4.5

9) External cost = 3 × 1 = 3 bottle

10) Government revenue = 3 × 1 = 3 bottle

11) Total surplus is

= Consumer surplus - external cost + government revenue

= 4.5 - 3 + 3

= 4.5

12) would

13) increases