Valair is an airline flying a particular route that has seasonal demand. The firm's total demand is given by: Q = 600 – 4P where Qis the number of passengers per year, in thousands, and P is the fare (in £). In the peak season the demand is given by: QH = 320 – 1.5PH and in the off-season the demand is given by: QL = 280 – 2.5PL

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Valair is an airline flying a particular route that has seasonal demand.
The firm's total demand is given by:
Q = 600 – 4P
where Qis the number of passengers per year, in thousands, and Pis the
fare (in £). In the peak season the demand is given by:
QH = 320 – 1.5PH
and in the off-season the demand is given by:
QL = 280 – 2.5PL
assume that fixed costs are £6 million per year and that marginal costs
are constant at £60 per passenger. Thus the cost function is given by:
C= 6000 + 60Q
where C is total costs (in £'000).
a. Calculate the profit-maximizing price and output without price
discrimination, and the size of the profit.
b. Calculate the profit-maximizing price and output with price
discrimination, and the size of the profit.
c. Calculate the demand elasticities of the two segments at their
profit-maximizing prices.
Transcribed Image Text:Valair is an airline flying a particular route that has seasonal demand. The firm's total demand is given by: Q = 600 – 4P where Qis the number of passengers per year, in thousands, and Pis the fare (in £). In the peak season the demand is given by: QH = 320 – 1.5PH and in the off-season the demand is given by: QL = 280 – 2.5PL assume that fixed costs are £6 million per year and that marginal costs are constant at £60 per passenger. Thus the cost function is given by: C= 6000 + 60Q where C is total costs (in £'000). a. Calculate the profit-maximizing price and output without price discrimination, and the size of the profit. b. Calculate the profit-maximizing price and output with price discrimination, and the size of the profit. c. Calculate the demand elasticities of the two segments at their profit-maximizing prices.
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