Question
Supply: Q = 100 + 400 P Demand: Q = 1150 100 P (Notice these are direct, not inverse, supply and demand curves). The competitive
Supply:
Q
=
100 + 400
P
Demand:
Q
= 1150
100
P
(Notice these are direct, not inverse, supply and demand curves). The competitive equilibrium price
and quantity are:
P
C
= $2
.
50 and
Q
C
= 900
a) Suppose that this water was drawn from an underground acquifer by the water bottling company.
The production of this bottled water imposed an external cost on other users of the water supply.
For example, farmers that drew water from the same acquifer faced higher costs to pump water for
irrigation. Suppose that the marginal external cost (MEC) imposed by the bottling company was MEC
= .001Q. Derive the allocatively efficient level of production when this cost externality is present.
b) Calculate the change in welfare that will occur if the town could move from the competitive output
level to the allocatively efficient level. Show your answer in a clearly labeled graph.
c) Suppose that the MEC was constant for each unit of output, not increasing with Q, and given by MEC
= .5. Recalculate your answers to part A and B using this constant MEC curve.
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