In: Economics
Carolina Atlantic sells specialty paper to commercial clients.
The paper can be produced at zero marginal cost. Some
clients are intensive users who are price-sensitive; their demands
are given by P = 8 − 0.1Q, where Q is
the number
of reams of paper desired per week. Other clients are
less-intensive users of paper and have inverse demands given
by P = 10 − 0.2Q. Let MC=0
a. Carolina Atlantic attempts to separate more-intensive and
less-intensive buyers by implementing a quantity discount
plan. What price should Carolina Atlantic set for each group? How
should the quantity discount plan be structured?
b. Show that the quantity discount plan you outlined in (a) is not
incentive-compatible.
c. Suppose, instead, that intensive users had inverse demands given
by P = 8 – (1/15)Q. Determine
the structure of
the quantity discount, and show that the plan is
incentive-compatible.
d. Why did the quantity discount plan outlined in (b) fail, while
the quantity discount plan outlined in (c) succeeded?