Q1. Consider a monopolist which produces two different products, each having the following demand functions: 91 = 14-701₁ 92 = 24 - P2₁ where 9₁ and 92 represent the output levels of product 1 and product 2 and p₁ and p₂ represent their prices. The monopolist's joint cost function is given as C (91, 92) = 91 +59192 +93.
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![Q1. Consider a monopolist which produces two different products, each having the following
demand functions:
91 = 14-
-P₁,
92 = 24 - 12/212₂2
P2,
where 9₁ and 92 represent the output levels of product 1 and product 2 and p₁ and p2
represent their prices.
The monopolist's joint cost function is given as
C (91, 92) = 91 +59192 +9²/2.
Show the Hessian, H, for this problem. What does the second order condition
require for this problem? Show if it is satisfied.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6274a625-9a74-4008-b392-f1961eea52c4%2F63a311ac-a67d-4e36-89cb-9e3d6fa804c8%2Fnl5t4z_processed.jpeg&w=3840&q=75)
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- Consider the case of a monopolist who charges the same price to all consumers. The demand for the good is given by Q=1282168p-7, where Q denotes the quantity demanded at price p. The firm's total cost of producing Q units is given by the function C(Q) = 7 Q What is the profit maximizing price for the monopolist? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number.)Assume a single-price monopolist has an inverse market demand curve given by P(Q)=300-0.5Q, and has a cost curve: C(Q)=125+20Q+0.5Q2. We already know that Monopolist will provide 140 units, Economic profit is 19475, and Economic Rent is 190. If the impact of a 35% ad valorem tax imposed on the consumers in the market. Then: Q1: What is the equilibrium quantity will be sold in the after-tax equilibrium? Q2: What are the economic rents of the monopolist?Consider the case of a monopolist who charges the same price to all consumers. The demand for the good is given by Q=1077096p-6, where Q denotes the quantity demanded at price p. The firm's total cost of producing Q units is given by the function C(Q) = 6 Q What is the profit maximizing quantity for the monopolist? (As usual, you must enter a number below, not a ratio, not an expression with symbols..., just a number.)
- Q1. Consider a monopolist which produces two different products, each having the following demand functions: 91 = 14 — —P1, 92 ₂ = 24 - 2₂2₁ where 9₁ and 92 represent the output levels of product 1 and product 2 and p₁ and p₂ represent their prices. The monopolist's joint cost function is given as C (91, 92) = 9+59192 +92/2. (b) State the first-order conditions for profit maximization. Find the production levels, 9₁ and 92, and the monopoly prices, p₁ and p2, that satisfy the conditions.Mighty Cleaners, Inc, is a monopolist in the specialised cleaning industry. Its cost is C = 220 - 4Q + Q2 and demand is P = 180 - 3Q, where Q is the number of hours of cleaning they provide and P is the price per hour of cleaning they charge. Find the optimal price P and output Q. What would be its profit? Please round your final answers to two decimal places, if necessary. For example, type in 12.5 for quantity, 2.34 for price and 300.78 for profit. • the optimal output (the number of hours of cleaning) is 45 hours. • the optimal price is $ 45 • the profit is 0A company operates two plants which manufacture the same item and whose total cost functions are C₁ = 5.1 +0.04(q₁)² and C₂ = 7.4 + 0.02(92)², where q1 and 2 are the quantities produced by each plant. The company is a monopoly. The total quantity demanded, q = 91 + 92, is related to the price, p, by p = 40 -0.02q. How much should each plant produce in order to maximize the company's profit?¹ 91 = i 92 = i
- Suppose that the monopolist from Question 4 is now forced to charge the same price in both markets. Using thedemand functions and cost function from Question 4, what is the total inverse demand in this case? What is theprofit-maximizing price? What is the monopolist’s profit? (Question 4 = A monopolist is operating in two separate markets. The inverse demand functions for the two markets are P1 = 35 – 2.5Q_1 and P2 = 30 – 2Q_2. The monopolist’s total cost function is TC(Q) = 8 + 5(Q_1 + Q_2). Q_1 means Q subscript 1Eyeglasslux is a single-price monopolist in the eye-glass frame market. It faces a Market demand given by Q=355-2P. Its only cost is a Marginal Cost of MC=Q What is the Marginal Revenue for the 268th unit?Consider a monopolist that has costs C = 250 + 30 Q + .1Q2 with two types of consumers: Q1 = 1000 – .5 P1 Q2 = 1500 – 2P2 a) How much will this firm offer to the market, what is the price charged to consumers, and what are the profits of the firm if this is a pure monopolist and treats consumers as one market? b) How much will this firm offer to the market, what is the price charged to consumers, and what are the profits of the firm if this is a perfect price discriminator? c) How much will this firm offer to the market, what is the price charged to consumers, and what are the profits of the firm if this is an imperfect price discriminator that can distinguish between type 1 and type 2 consumers?
- (Q: 12-2508858] A single-price monopolist faces an inverse demand function of: P(Q,B) = 100-Q+B0.5, where Q is the quantity, P is the price, and B is the level of advertising. The marginal cost is a constant $10 per unit, the cost per unit of advertising is $1, and there are no fixed costs. Solve for the firm's profit-maximizing price, quantity, and level of advertising. Hint: the profit function must be maximized with respect to two choice variables (Q and B). The profit-maximizing quantity is units. (round your answer to two decimal places) The profit-maximizing level of advertising is units. (round your answer to two decimal places) The profit-maximizing price is $. (round your answer to two decimal places)Suppose a discriminating monopolist is selling a product in four separate markets in which demand functions are: Q1 = 450 – P1; Q2 = 200 – 0.5 P2; Q3 = 150 – 0.25P3 and Q4 = 80 – 0.4P4 Cost function is TC = 95,000 – 100Q. a. As an economic adviser, determine the Prices to be charged in the three markets and amount of output to be sold in each market so that total profits can be maximized. b.Calculate the total profit to be made from the strategy of price discrimination and clearly explain how this strategy has aided this monopolist.The Buy n Large Corporation (BnL) is a monopolist in a market with the demand function:Qd = 320 − 4pBnL’s marginal cost function is:MC = 20/Q + 4and its average total cost function is:ATC = 240/Q + 20 + Q/8(a) Based on the demand function given, determine BnL’s inverse demand function and marginal revenuefunction.(b) Algebraically determine BnL’s profit-maximizing quantity and price.(c) Determine the profit made by BnL
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