1. A monopolist would like to practice third-degree price discrimination on two groups of customers. The first group is

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1. A monopolist would like to practice third-degree price
discrimination on two groups of customers. The first group is
represented by the demand equation, Q1 = 10 -
P1 and the second group is represented by the
demand equation Q2 = 10 - 2P2. Assume
marginal costs are constant and equal to $4 in both markets. What
is the profit earned by the monopolist in the first market?
2. A monopolist would like to practice third-degree price
discrimination on two groups of customers. The first group is
represented by the demand equation, Q1 = 10 -
P1 and the second group is represented by the
demand equation Q2 = 10 - 2P2. Assume
marginal costs are constant and equal to $4 in both markets. What
is the profit earned by the monopolist in the second market?
3. A monopolist faces a demand curve Q = 20 - 0.8P and
marginal cost MC = 2.5Q. If the firm cannot price-discriminate,
what is the monopolist's profit maximizing quantity?
4. A monopolist faces a demand curve Q = 20 - 0.8P and
marginal cost MC = 2.5Q. If the firm can "perfectly" (first degree)
price-discriminate, what is the monopolist's profit maximizing
quantity? (you may leave your answer at 2-decimals OR round
up)