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Consider the monopoly selling air tickets in two differentiated markets where demand function for young people is P 1 = 1 0 0 4 Q

Consider the monopoly selling air tickets in two differentiated markets where demand
function for young people is P1=1004Q1 and for senior citizens is P2=803Q2.
The marginal cost incurred by the monopolist is Rs.3 per unit.
(a) What prices maximize the monopolists profit if it can discriminate between
the markets? What are the optimal quantities and profit? (3)
(b) Find the optimal profit if monopolist cannot discriminate. Show that profit
in this case is always less than the one obtained by discriminating between
markets. (3)
(c) In case of discriminating monopolist, comment on the relationship between
price charged in a market and the price elasticity of demand in that market.

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