Campbell owns an online shop and to sell to three (3) individuals, A, B and C, whose individual demand equations are as follows:
• A: P = 70 -1.0QA
• B: P = 100 -0.5QB
• C: P = 80 -4.00QC
The industry supply equation to be QS = 80+ 7P
You are required to
a. Determine the equilibrium price and quantity
b. Determine the amount that will be purchased by each individual
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1. Suppose that identical duopoly firms have constant marginal costs of $16 per unit. Firm 1 faces a demand function of q₁ = 70-2p₁ + p₂, where q1 is Firm 1's output, p1 is Firm 1's price, and p2 is Firm 2's price. Similarly, the demand Firm 2 faces is q2 = 70-2p2 + p1. Solve for the Nash-Bertrand equilibrium.
2. Solve for the Nash-Bertrand equilibrium for the firms( described in above question) if both firms have a marginal cost of $0 per unit.
3. Solve for the Nash-Bertrand equilibrium for the firms ( described in above question 1) if Firm 1's marginal cost is $25 per unit and Firm 2's marginal cost is $15 per unit.