Let the market demand for widgets be described by Q = 1000 − 50P. Suppose further...
Let the market demand for widgets be described by Q = 1000 − 50P. Suppose further that widgets can be produced at a constant average and marginal cost of $10 per unit.
a. Calculate the market output and price under perfect
competition and under monopoly.
b. Define the point elasticity of demand εD at a particular price
and quantity combination as the ratio of price to quantity times
the slope of the demand curve, Q/P, all multiplied by −1. What is
the elasticity of demand in the competitive equilibrium? What is
the elasticity of demand in the monopoly equilibrium?
c. Denote marginal cost as MC.Show that in the monopoly
equilibrium, the following condition is satisfied:
(P-MC)/P=-1/elasticity
Homework Answers
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Let the market demand for widgets be described by Q = 1000 −
50P. Suppose further...
1. Suppose we have a market demand Q = 18 – P and a cost C(q)...
1. Suppose we have a market demand Q = 18 – P and a cost C(q) =*Q2. a. What is the inverse demand? b. What is the competitive equilibrium market quantity and price? C. If the market had a monopoly, what is the equilibrium quantity and price? Set up the profit maximization and show all steps. d. What is the mark up? e. What is the monopoly's profit? f. What is the deadweight loss compared to perfect competition?
1. Suppose we have a market demand Q = 18 – P and a cost C(Q)=Q2....
1. Suppose we have a market demand Q = 18 – P and a cost C(Q)=Q2. a. What is the inverse demand? b. What is the competitive equilibrium market quantity and price? c. If the market had a monopoly, what is the equilibrium quantity and price? Set up the profit maximization and show all steps. d. What is the mark up? e. What is the monopoly's profit? f. What is the deadweight loss compared to perfect competition?
2. The inverse demand for hangars is given by: P-3-Q/16,000. Suppose further that the marginal cost...
2. The inverse demand for hangars is given by: P-3-Q/16,000. Suppose further that the marginal cost of producing hangars is constant at $1 and the fixed cost is zero. a) What is the equilibrium price and quantity of hangars if the market is competitive? b) What is the equilibrium price and quantity of hangers if the market is monopolized? c) What is the dead weight or welfare loss of monopoly in this market?
3. The market illustrated below has inverse demand p(Q) = 130 - 3Q and industry-wide marginal...
3. The market illustrated below has inverse demand p(Q) = 130 - 3Q and industry-wide marginal cost MCQ) = 10 + 2Q. If production is competitive, this is the market (inverse) supply curve. If production is consolidated under a monopolist, this is the monopolist's MC curve. a. Suppose there is a monopolist. Explain how marginal revenue for a monopolist is different than for a firm under perfect competition. Then derive the profit-maximizing market outcome (including the monopoly price and quantity...
2. Social Welfare Suppose the market of a good has linear market demand as Q 120-P....
2. Social Welfare Suppose the market of a good has linear market demand as Q 120-P. A firm in the (a) Find the profit-maximized price, output quantity, and profit of the firm under (b) Find the profit-maximized price, output quantity, and profit of the firm under c)Calculate the consumer surplus under the two cases and compare your results market has the total cost of production as C-200 perfect competition monopoly. What is the dead weight loss of the market due...
Suppose that the market demand curve for mineral water is given as Q=100−10P and marginal cost...
Suppose that the market demand curve for mineral water is given as Q=100−10P and marginal cost is fixed at $4. Find the equilibrium price and quantity in each type of different market structure. Show your calculation. a) Monopoly b) Cournot duopoly c) Stackelberg duopoly d) Bertrand duopoly (MR is fixed at the level of MC). e) Perfect competitive market (MR is fixed at the level of MC).
Suppose that the market demand curve for mineral water is given as Q-100-10P and marginal cost...
Suppose that the market demand curve for mineral water is given as Q-100-10P and marginal cost is fixed at $4. Find the equilibrium price and quantity in each type of different market structure. Show your calculation (2 points for each subquestion). a) Monopoly b) Coumot duopoly c) Stackelberg duopoly d) Bertrand duopoly (MR is fixed at the level of MC). e) Perfect competitive market (MR is fixed at the level of MC)
For questions 14: Market demand for widgets is Q = 100 - p. Whether there is...
For questions 14: Market demand for widgets is Q = 100 - p. Whether there is just one firm 10- selling widgets or many firms selling widgets, the marginal cost and average cost is 10. 10 2 Assume there is one firm selling widgets. What is the equilibrium price (p) and quantity sold (Q)? 2 Assume there are two firms selling widgets acting as Cournot duopolists (Firm 1 and Firm 2). What is the quantity sold for each firm? 122...
Suppose there is a monopolistically competitive market with n identical firms, such that each firm produces the same quantity, q. Further, the market is in the monopolistically competitive long-run e...
Suppose there is a monopolistically competitive market with n identical firms, such that each firm produces the same quantity, q. Further, the market is in the monopolistically competitive long-run equilibrium. You are given the following: Inverse market demand: P 10-Q Total market output: Qnxq Marginal revenue: MR 10n+ 1)xq Total cost: C(q)-5+q Marginal cost: MC 2xq In long-run equilibrium, each firm earns zero economic profit. In long-run equilibrium, the number of firms, n, is and each firm produces units) of...
The market demand for a gallon of Kikkamoo Joy Juice is Q = 1000 – 50P....
The market demand for a gallon of Kikkamoo Joy Juice is Q = 1000 – 50P. The owner, Grandma Yocum, wants to produce where the elasticity of demand is unity. What price should she charge and what quantity should be sold to achieve that goal?
1. Suppose we have a market demand Q = 18 – P and a cost C(q) =*Q2. a. What is the inverse demand? b. What is the competitive equilibrium market quantity and price? C. If the market had a monopoly, what is the equilibrium quantity and price? Set up the profit maximization and show all steps. d. What is the mark up? e. What is the monopoly's profit? f. What is the deadweight loss compared to perfect competition?
1. Suppose we have a market demand Q = 18 – P and a cost C(Q)=Q2. a. What is the inverse demand? b. What is the competitive equilibrium market quantity and price? c. If the market had a monopoly, what is the equilibrium quantity and price? Set up the profit maximization and show all steps. d. What is the mark up? e. What is the monopoly's profit? f. What is the deadweight loss compared to perfect competition?
2. The inverse demand for hangars is given by: P-3-Q/16,000. Suppose further that the marginal cost of producing hangars is constant at $1 and the fixed cost is zero. a) What is the equilibrium price and quantity of hangars if the market is competitive? b) What is the equilibrium price and quantity of hangers if the market is monopolized? c) What is the dead weight or welfare loss of monopoly in this market?
3. The market illustrated below has inverse demand p(Q) = 130 - 3Q and industry-wide marginal cost MCQ) = 10 + 2Q. If production is competitive, this is the market (inverse) supply curve. If production is consolidated under a monopolist, this is the monopolist's MC curve. a. Suppose there is a monopolist. Explain how marginal revenue for a monopolist is different than for a firm under perfect competition. Then derive the profit-maximizing market outcome (including the monopoly price and quantity...
2. Social Welfare Suppose the market of a good has linear market demand as Q 120-P. A firm in the (a) Find the profit-maximized price, output quantity, and profit of the firm under (b) Find the profit-maximized price, output quantity, and profit of the firm under c)Calculate the consumer surplus under the two cases and compare your results market has the total cost of production as C-200 perfect competition monopoly. What is the dead weight loss of the market due...
Suppose that the market demand curve for mineral water is given as Q-100-10P and marginal cost is fixed at $4. Find the equilibrium price and quantity in each type of different market structure. Show your calculation (2 points for each subquestion). a) Monopoly b) Coumot duopoly c) Stackelberg duopoly d) Bertrand duopoly (MR is fixed at the level of MC). e) Perfect competitive market (MR is fixed at the level of MC)
For questions 14: Market demand for widgets is Q = 100 - p. Whether there is just one firm 10- selling widgets or many firms selling widgets, the marginal cost and average cost is 10. 10 2 Assume there is one firm selling widgets. What is the equilibrium price (p) and quantity sold (Q)? 2 Assume there are two firms selling widgets acting as Cournot duopolists (Firm 1 and Firm 2). What is the quantity sold for each firm? 122...
Suppose there is a monopolistically competitive market with n identical firms, such that each firm produces the same quantity, q. Further, the market is in the monopolistically competitive long-run equilibrium. You are given the following: Inverse market demand: P 10-Q Total market output: Qnxq Marginal revenue: MR 10n+ 1)xq Total cost: C(q)-5+q Marginal cost: MC 2xq In long-run equilibrium, each firm earns zero economic profit. In long-run equilibrium, the number of firms, n, is and each firm produces units) of...
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