There are two firms in the blastopheme industry. The inverse demand curve in a typical week for price P for blastophemes is given by P = 4,200 - 30. Total quantity is Q=q1+ q2. Each firm has one manufacturing plant. Suppose Firm 1 entered first and has lower fixed cost than Firm 2. The cost functions are, for Firm 1, C(q) = 50,000+ 600q1, and, for Firm 2, C(92)=70,000+ 600q2. Marginal cost for each firm is $600 per unit. If Firm 1 is the Stackelberg leader and Firm 2 is the follower, find the equilibrium price, level of consumer surplus, and, for each firm, the quantity produced and the resulting weekly profit.
There are two firms in the blastopheme industry. The inverse demand curve in a typical week for price P for blastophemes is given by P = 4,200 - 30. Total quantity is Q=q1+ q2. Each firm has one manufacturing plant. Suppose Firm 1 entered first and has lower fixed cost than Firm 2. The cost functions are, for Firm 1, C(q) = 50,000+ 600q1, and, for Firm 2, C(92)=70,000+ 600q2. Marginal cost for each firm is $600 per unit. If Firm 1 is the Stackelberg leader and Firm 2 is the follower, find the equilibrium price, level of consumer surplus, and, for each firm, the quantity produced and the resulting weekly profit.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Transcribed Image Text:There are two firms in the blastopheme industry. The inverse demand curve
in a typical week for price P for blastophemes is given by P = 4,200 - 3Q.
Total quantity is Q = 91 + q2. Each firm has one manufacturing plant.
Suppose Firm 1 entered first and has lower fixed cost than Firm 2. The cost
functions are, for Firm 1, C(q₁) = 50,000+ 600q1, and, for Firm 2,
C(92)=70,000+ 600q2. Marginal cost for each firm is $600 per unit. If Firm
1 is the Stackelberg leader and Firm 2 is the follower, find the equilibrium
price, level of consumer surplus, and, for each firm, the quantity produced
and the resulting weekly profit.
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