The market demand curve for a pair of duopolists is given as P = 30 5Q, where Q = Q₁ + Q₂. The constant per unit marginal cost is $18 for each duopolist. Find the equilibrium price, total quantity and profit for each firm, assuming the firms act as a Stackelberg leader and follower, with firm 1 as the leader.

Instructions: Round your answers for equilibrium price and profits to the nearest penny (2 decimal places) and round your answer for quantity to 1 decimal place.

Equilibrium price: $ Quantity: Profit for firm 1: $

Profit for firm 2: $

A monopolist has a demand curve given by P = 140 Q and a total cost curve given by TC = 100 + Q². The associated marginal cost curve is MC = 2Q. Find the monopolist's profit-maximizing quantity and price. How much economic profit does the monopolist earn?

Instructions: Enter your answers as whole numbers. Profit-maximizing price: $ Profit-maximizing quantity: Economic profit: $

A monopolist has a demand curve given by P = 120 Q and a total cost curve given by TC = 44 + 3Q². The corresponding marginal cost curve is MC = 6Q. Find the monopolist's profit-maximizing quantity and price. How much economic profit does the monopolist earn?

Instructions: Enter your answers as whole numbers. Profit-maximizing price: $ Profit-maximizing quantity: Economic profit: $