Demand: P= 120 - 0.5 Q Total Cost: TC= 1 Q 2 Part 1: Find the...
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Demand: P= 120 - 0.5 Q Total Cost: TC= 1 Q 2 Part 1: Find the profit-Maximizing Q of the Monopoly Part 2: Find The profit-Maximizing price of the Monopoly |
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| Part 3: Find the Total Profit at the profit maximizing quantity | |||||
| Part 4: Find the amount of consumer surplus at the profit maximizing quantity | |||||
| Part 5: Find the deadweight loss at the profit maximizing quantity |
Homework Answers
1. Assume that a monopolist has TC(Q) = 6Q and the market demand is P(Q) =...
1. Assume that a monopolist has TC(Q) = 6Q and the market demand is P(Q) = 50 – 20. (a) What is the firm's marginal cost? (b) What is the profit-maximizing price and quantity (P*, Q*)? (c) What is the total revenue at (P*, Q*)? (d) What is the total cost at (P*, Q*)? (e)What is the profit at (P*, Q*)? (f) What is the consumer surplus at (P*, Q*)? (g) What is the deadweight loss at (P*, Q*)?
A monopolist’s inverse demand is P=500-2Q, the total cost function is TC=50Q2 + 1000Q and Marginal...
A monopolist’s inverse demand is P=500-2Q, the total cost function is TC=50Q2 + 1000Q and Marginal cost is MC=100Q+100, where Q is thousands of units. a). what price would the monopolist charge to maximize profits and how many units will the monopolist sell? (hint, recall that the slope of the MARGINAL Revenue is twice as steep as the inverse demand curve. b). at the profit-maximizing price, how much profit would the monopolist earn? c). find consumer surplus and Producer surplus...
Suppose that market demand for a good is given by QD(P) = 10−P. The total cost...
Suppose that market demand for a good is given by
QD(P) = 10−P. The total cost of production is TC(Q) =
2Q2. Determine quantity QM and price
PM that a monopolist will choose in this market.
Calculate consumer surplus (CS), producer surplus (PS), and the
deadweight loss (DWL) resulting from the monopoly. Graphical
Solution would suffice!
1) (25 points) Suppose that market demand for a good is given by Q”(P) - 10-P. The total cost of production is TCQ) =...
Question 3 (4 points) Price and cost per unit Demand Quantity 1. What is the profit-maximizing...
Question 3 (4 points) Price and cost per unit Demand Quantity 1. What is the profit-maximizing quantity for this monopolist and what is the price they will charge? (1 point) 2. What is the consumer surplus in this monopoly (you can use the letters)? (0.5 points) 3. The gain in producer surplus in this monopoly market is represented by the area? (Use the letters)(0.5 point) 4. The deadweight loss in this monopoly is represented by the area?(0.5 points) 5. If...
Question 3 (4 points) Price and cost per unit Demand Quantity 1. What is the profit-maximizing...
Question 3 (4 points) Price and cost per unit Demand Quantity 1. What is the profit-maximizing quantity for this monopolist and what is the price they will charge? (1 point) 2. What is the consumer surplus in this monopoly (you can use the letters)? (0.5 points) 3. The gain in producer surplus in this monopoly market is represented by the area? (Use the letters)(0.5 point) 4. The deadweight loss in this monopoly is represented by the area?(0.5 points) 5. If...
How do I solve this problem? 4. Benson's Park is a monopolist in the local camping market in the town of West Anderson. They face an inverse demand curve given by P-400-8Q, where Q is the number o...
How do I solve this problem?
4. Benson's Park is a monopolist in the local camping market in the town of West Anderson. They face an inverse demand curve given by P-400-8Q, where Q is the number of tickets they sell. The park's cost function is C(Q)-100+160 Write down Benson's profit function (2 point) Find the first-order condition for profit maximization. (2 points) Find the profit-maximizing price and quantity, and the maximum profit. (3 points) a. b. c. d. Calculate...
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...
3. Consider a uniform-price monopolist that faces demand curve P() 14 2Q and faces a total...
3. Consider a uniform-price monopolist that faces demand curve P() 14 2Q and faces a total cost TC() 20 (a) Calculate the profit maximizing price and quantity erw erwyat er Patt Q= (b) Determine the consumer surplus, producer surplus, and deadweight loss erwyat erwy erwyatt CS = el DWL =
A monopolist faces inverse demand P = on TC(Q) = cQ. (a) Find the optimal price,...
A monopolist faces inverse demand P = on TC(Q) = cQ. (a) Find the optimal price, P, and quantity, QM (b) Solve for the monopolist's optimal profits, TM (c) Graph the equilibrium and show consumer surplus, producer surplus and deadweight loss. Be 150 -3Q and total cost functi careful with the marginal cost curve. (d) Compute CS and PS. These will be functions of the cost parameter c. (e) Compute DWL. Similarly, it will be functions of the cost parameter...
Suppose a profit maximizing monopolist has total cost and marginal cost as follow:
Suppose a profit maximizing monopolist has total cost and marginal
cost as follow:1. Suppose a profit-maximizing monopolist has total cost and marginal cost as follow: \(\mathrm{TC}=0.1 Q^{2}+Q+10\) and \(\mathrm{MC}=0.2 Q+1\). It faces the demand curve \(\mathrm{Q}=35-5^{\mathrm{P}} .(35\) points \()\)a) What are the price, output, and profit for this monopolist?b) Carefully draw the diagram that illustrates your answers.c) What are the equilibrium price, output, and total profit if this is a perfectly competitive market?d) Compare the results between monopoly and perfect...
1. Assume that a monopolist has TC(Q) = 6Q and the market demand is P(Q) = 50 – 20. (a) What is the firm's marginal cost? (b) What is the profit-maximizing price and quantity (P*, Q*)? (c) What is the total revenue at (P*, Q*)? (d) What is the total cost at (P*, Q*)? (e)What is the profit at (P*, Q*)? (f) What is the consumer surplus at (P*, Q*)? (g) What is the deadweight loss at (P*, Q*)?
Suppose that market demand for a good is given by
QD(P) = 10−P. The total cost of production is TC(Q) =
2Q2. Determine quantity QM and price
PM that a monopolist will choose in this market.
Calculate consumer surplus (CS), producer surplus (PS), and the
deadweight loss (DWL) resulting from the monopoly. Graphical
Solution would suffice!
1) (25 points) Suppose that market demand for a good is given by Q”(P) - 10-P. The total cost of production is TCQ) =...
Question 3 (4 points) Price and cost per unit Demand Quantity 1. What is the profit-maximizing quantity for this monopolist and what is the price they will charge? (1 point) 2. What is the consumer surplus in this monopoly (you can use the letters)? (0.5 points) 3. The gain in producer surplus in this monopoly market is represented by the area? (Use the letters)(0.5 point) 4. The deadweight loss in this monopoly is represented by the area?(0.5 points) 5. If...
Question 3 (4 points) Price and cost per unit Demand Quantity 1. What is the profit-maximizing quantity for this monopolist and what is the price they will charge? (1 point) 2. What is the consumer surplus in this monopoly (you can use the letters)? (0.5 points) 3. The gain in producer surplus in this monopoly market is represented by the area? (Use the letters)(0.5 point) 4. The deadweight loss in this monopoly is represented by the area?(0.5 points) 5. If...
How do I solve this problem?
4. Benson's Park is a monopolist in the local camping market in the town of West Anderson. They face an inverse demand curve given by P-400-8Q, where Q is the number of tickets they sell. The park's cost function is C(Q)-100+160 Write down Benson's profit function (2 point) Find the first-order condition for profit maximization. (2 points) Find the profit-maximizing price and quantity, and the maximum profit. (3 points) a. b. c. d. Calculate...
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...
3. Consider a uniform-price monopolist that faces demand curve P() 14 2Q and faces a total cost TC() 20 (a) Calculate the profit maximizing price and quantity erw erwyat er Patt Q= (b) Determine the consumer surplus, producer surplus, and deadweight loss erwyat erwy erwyatt CS = el DWL =
A monopolist faces inverse demand P = on TC(Q) = cQ. (a) Find the optimal price, P, and quantity, QM (b) Solve for the monopolist's optimal profits, TM (c) Graph the equilibrium and show consumer surplus, producer surplus and deadweight loss. Be 150 -3Q and total cost functi careful with the marginal cost curve. (d) Compute CS and PS. These will be functions of the cost parameter c. (e) Compute DWL. Similarly, it will be functions of the cost parameter...
Suppose a profit maximizing monopolist has total cost and marginal
cost as follow:1. Suppose a profit-maximizing monopolist has total cost and marginal cost as follow: \(\mathrm{TC}=0.1 Q^{2}+Q+10\) and \(\mathrm{MC}=0.2 Q+1\). It faces the demand curve \(\mathrm{Q}=35-5^{\mathrm{P}} .(35\) points \()\)a) What are the price, output, and profit for this monopolist?b) Carefully draw the diagram that illustrates your answers.c) What are the equilibrium price, output, and total profit if this is a perfectly competitive market?d) Compare the results between monopoly and perfect...
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