Question 1 In Ontario, the market for pop is controlled by Pepsi and Coke (we assume that consumers do not have preference for one over the other). Each firm has a fixed cost of $100 million and a constant marginal cost of S0.10 per litre of pop. The demand for pop is given in the following table. Price of a bottle of pop Quantity of bottles (S per litre) (millions of bottles)

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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Question 1
In Ontario, the market for pop is controlled by Pepsi and Coke
(we assume that consumers do not have preference for one over
the other). Each firm has a fixed cost of $100 million and a
constant marginal cost of $0.10 per litre of pop. The demand for
pop is given in the following table.
Price of a bottle of pop Quantity of bottles
(S per litre)
(millions of bottles)
1.00
300
1.20
280
1.40
260
1.60
240
1.80
220
2.00
200
2.20
180
2.40
160
2.60
140
a) Suppose the two firms for a cartel and act as a monopolist.
Find the optimal output for each firm if they split the
market equally. Find the profit for each.
b) Now suppose Coke decides to increase production by 40
million of bottles while Pepsi continues to produce the
same quantity. Find the new market price, the quantities
produced by each firm and their profits.
e) What do your results tell you about the likelihood of
collusion between them?
Transcribed Image Text:Question 1 In Ontario, the market for pop is controlled by Pepsi and Coke (we assume that consumers do not have preference for one over the other). Each firm has a fixed cost of $100 million and a constant marginal cost of $0.10 per litre of pop. The demand for pop is given in the following table. Price of a bottle of pop Quantity of bottles (S per litre) (millions of bottles) 1.00 300 1.20 280 1.40 260 1.60 240 1.80 220 2.00 200 2.20 180 2.40 160 2.60 140 a) Suppose the two firms for a cartel and act as a monopolist. Find the optimal output for each firm if they split the market equally. Find the profit for each. b) Now suppose Coke decides to increase production by 40 million of bottles while Pepsi continues to produce the same quantity. Find the new market price, the quantities produced by each firm and their profits. e) What do your results tell you about the likelihood of collusion between them?
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