Suppose the monopolist with a marginal cost of 2 is facing two of customers i = {L, H} with the following demand functions: Customer H: qH = Customer L: qL 6- PH = 4- PL The consumer's total payment T;(q) is T;(q) = A; + piq with lump sum payment A and per unit price p. a. Assume that the monopolist can distinguish between the two groups of consumers. Further, suppose that A₁ = 0, meaning the monopolist is charging uniform prices. Find the profit maximizing price the monopolist charges customer H and the price the monopolist charges customer L. b. Assume that the monopolist can perfectly distinguish between the two groups of consumers and can utilize a lump sum payment A; > 0. Find the two part tariff the monopolist charges customer H and the two part tariff charged to customer L.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Suppose the monopolist with a marginal cost of 2 is facing two of customers i = {L, H} with the
following demand functions:
Customer H: qH
Customer L: qL =
=
6- PH
4- PL
The consumer's total payment T;(q) is T;(q) = A; + piq with lump sum payment A and per unit
price p.
=
a. Assume that the monopolist can distinguish between the two groups of consumers. Further,
suppose that A₁
0, meaning the monopolist is charging uniform prices. Find the profit
maximizing price the monopolist charges customer H and the price the monopolist charges
customer L.
b. Assume that the monopolist can perfectly distinguish between the two groups of consumers
and can utilize a lump sum payment A¡ > 0. Find the two part tariff the monopolist charges
customer H and the two part tariff charged to customer L.
Transcribed Image Text:Suppose the monopolist with a marginal cost of 2 is facing two of customers i = {L, H} with the following demand functions: Customer H: qH Customer L: qL = = 6- PH 4- PL The consumer's total payment T;(q) is T;(q) = A; + piq with lump sum payment A and per unit price p. = a. Assume that the monopolist can distinguish between the two groups of consumers. Further, suppose that A₁ 0, meaning the monopolist is charging uniform prices. Find the profit maximizing price the monopolist charges customer H and the price the monopolist charges customer L. b. Assume that the monopolist can perfectly distinguish between the two groups of consumers and can utilize a lump sum payment A¡ > 0. Find the two part tariff the monopolist charges customer H and the two part tariff charged to customer L.
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