Question 13 Q9 b) The determinantal test suggests that the firm's profit function is locally concave around the critical point, but not elsewhere O is globally concave O is locally convex around the critical point, but not elsewhere is globally convex
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only answer Q9 B)
![9) A monopolist sells its product in two different countries. The demand in country 1 is
Q1 = 50 – 0.5P1, whereas the demand in country 2 is Q2 = 25 – 0.25P2. The firm's cost
function is C(Q) = 10 +0.5Q², where Q = Q1+Q2•
a) Calculate the amount of the product that the profit maximizing monopolist should sell
in each country.
b) Use the determinantal test to check whether the stationary point is the firm's local
maximum, global maximum, local minimum, global minimum, or neither.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b9ef3af-1bb5-4398-94ba-7d8c1b3fd143%2F6aa79672-0e85-4bd6-9842-55ddde784c1c%2Fnzvi0na_processed.png&w=3840&q=75)
![Question 13
Q9 b) The determinantal test suggests that the firm's profit function
is locally concave around the critical point, but not elsewhere
is globally concave
is locally convex around the critical point, but not elsewhere
is globally convex
has a saddle point at the critical point](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7b9ef3af-1bb5-4398-94ba-7d8c1b3fd143%2F6aa79672-0e85-4bd6-9842-55ddde784c1c%2Fyxuqvx_processed.png&w=3840&q=75)
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- In this problem, the inverse demand function is 100 – Q, and marginal cost is 90 – Q/2. A monopolist dominates this Internet industry. The government orders the firm to produce at the point where the price equals marginal cost. (a) Why might the government think that this level of output would increase economic efficiency? (b) Now calculate the output level at which price equals average cost, and calculate profit. Why might the monopolist prefer this output level to the one in which price equals marginal cost? (c) How can the government induce the monopoly to produce, for years to come, at the point where price equals marginal cost?A monopolist supplies an identical good in both countries. The inverse demand curve of Country A is P = 12 – Q and that of Country B is P = 22 – 2Q. Suppose the monopolist has plants in two countries and all plants have a constant marginal cost of $2. (a) Suppose the tariff is so high that there is no trade between the two countries, what price should the monopolist charge in each country? What is its total profit? (b) After the two countries sign a trade agreement, the tariff becomes zero. Now the good the monopolist supplies can be transported from one country to the other with a cost of one dollar per unit. How will the monopolist’s profit change if it does NOT change its pricing strategy? (c) How should the monopolist change its pricing strategy to maximize its profit?All 20 consumers are alike and each has a demand curve for a monopolist's product of p=15 -3q. The cost of production C(Q) =2Q. Let the monopolist charge a price of $PM for qM unit purchased. Find the menu prices that maximize profits? (The buyer pays menu price PM for quantity qM) What is the maximum profit the monopolist can earn in this market? (pi)?
- 14) The demand equation for a monopolist's product is p=200 -0.98q, where p is the price per unit (in dollars) of producing q units. If the total cost c (in dollars) of producing 8 units is given by c= 0.02q2 + 2q + 8000, find the level of production at which profit is maximized.A monopolist is deciding how to allocate output between two geographically separated markets (East Coast and Midwest). Demand and marginal revenue for the two markets are: P1=20−Q1 MR1=20−2Q1 P2=30−2Q2 MR2=30−4Q2 The monopolist's total cost is C=5+5(Q1+Q2). What are price, output, profits, marginal revenues, and deadweight loss if the monopolist can price discriminate? (round all answers to two decimal places) In market 1, the price is $12.50 and the quantity is 7.50 In market 2, the price is $17.50and the quantity is 6.25A monopolist is deciding how to allocate output between two geographically separated markets (East Coast and Midwest). Demand and marginal revenue for the two markets are: P1=20−Q1 MR1=20−2Q1 P2=30−2Q2 MR2=30−4Q2 The monopolist's total cost is C=5+5(Q1+Q2). What are price, output, profits, marginal revenues, and deadweight loss if the monopolist can price discriminate? (round all answers to two decimal places) In market 1, the price is $12.50 and the quantity is 7.50 In market 2, the price is $17.50and the quantity is 6.25 The monopolist's profit is $_____.
- A monopolist faces a demand curve P = 100 – 4Q and initially faces total costTC = 12Q. (a) Calculate the profit-maximizing monopoly quantity and price, and compute the monopolist's total revenue and profits at the optimal price. (b) Suppose that the monopolist's total increases to TC = 44Q. Verify that the monopolist's total revenue goes down. c) Suppose that all firms in a perfectly competitive equilibrium had a combined total cost T C = 12Q. Find the long-run perfectly competitive industry price and quantity. Also what are the combined industry profits and revenue. (Hint: the supply curve is just the marginal cost) (d) Suppose that all firms' total costs increased to T C = 44Q. Verify that the increase in marginal cost causes total industry revenue to go up.A monopolist has a constant marginal cost of 12. Consumers' inverse demand is P = 32 - 4Q. The monopolist runs a persuasive advertising campaign that costs 26 and increases consumer demand to P = 37 - 4Q. (a) What is the gain (or loss) in the firms profits caused by the advertising campaign? b) When consumers' pre-advertising preferences are used to calculate welfare, what is the welfare gain (or loss) caused by the advertising campaign? Answer 2 Question 1 (c) When consumers' post-advertising preferences are used to calculate welfare, what is the welfare gain (or loss) caused by the advertising campaign? Answer 3 Question 1Justify if each of the following statements is TRUE or FALSE. If the statement is TRUE, just write “True”. If the statement is FALSE, explain why it is wrong. a) Pos Malaysia is the sole firm which provides courier services in Malaysia. It is considered a monopolist in Malaysia. b) Sarawak Energy is the sole supplier of electricity transmission and distribution in Sarawak. It is a monopolist in Sarawak. c) Shell Out is a seafood restaurant with many outlets in Selangor and Kuala Lumpur. It is doing business in the perfectly competitive market.
- Q1) Suppose that the inverse demand for a product is represented by the equation P = 50 – Q, where P is the price in Euros and Q is the annual output. Suppose that only one firm produces this product and that the marginal and average cost is €10. Calculate the profit-maximising price for this monopolist. Q2) In autumn, Erling Kagge, who lives alone on an island near the North Pole, puts 50 bags of root vegetables from his harvest into a cave just before a family of polar bears goes in to hibernate. The polar bears do not eat vegetables but would attack Kagge if he approached them. As a result, he is unable to get the vegetables out before the polar bears emerge the following spring. The vegetables spoil at the same rate no matter where he stores them. Which of the following statements best describes this behaviour? A. Kagge’s behaviour is an example of the anchoring effect in action B. Kagge’s behaviour is an example of the framing effect in action C. Kagge’s…2. Consider a monopolist who has a cost function of c(Q) = 5Q. This monopolist faces two consumers, the first having demand q₁(P₁) = 80 - 2P₁ and the second having demand q₂ (P₂) = 50 - P₂. a) Calculate the profit-maximizing price and then the optimal quantity sold to each consumer under uniform pricing, i.e. the monopolist charges the same price for both consumers. What are the monopolist's profits? b) Suppose now that the monopolist can engage in third degree price discrimination. Find the monopolists profit maximizing prices for consumers 1 and 2 (they should be different), and calculate the monopolist's profits. How do they compare to the profits in part (a)?5) A monopolist sells its product to two countries, labeled 1 and 2. The inverse demand curves in these countries are p1 = 100 – Q, and p2 = 120 – 3Q2. respectively. The monopolist's cost function is C(Q) =02, where Q = Q1 + Q2- a) Find the aggregate demand function and the associated inverse demand function for p < 100. Write down the monopolist's profit function and proceed to find its profit-maximizing output and profit. Calculate the equilibrium price the monopolist would charge in each country. Also calculate the output it would supply to each country. b) c)
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