t the profit-maximizing quantity, calculate the Lerner Index and the associated own-price elasticity. erner Index: (Enter your answer rounded to three decimal places and use in subsequent calculations.) Dwn-price elasticity: (Enter your answer rounded to three decimal places)

t the profit-maximizing quantity, calculate the Lerner Index and the associated own-price elasticity. erner Index: (Enter your answer rounded to three decimal places and use in subsequent calculations.) Dwn-price elasticity: (Enter your answer rounded to three decimal places)

Micro Economics For Today

10th Edition

ISBN:9781337613064

Author:Tucker, Irvin B.

Publisher:Tucker, Irvin B.

Chapter9: Monopoly

Section: Chapter Questions

Problem 17SQ

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Question 8 Firm D is a monopolist that faces a market with inverse demand given by: P = 120-4Q Where Q is Firm D's output level. Firm D's total cost function is given by: TC(Q) = 11Q +42 Assuming that Firm D can perfectly (1st degree) price discriminate, what is Firm D's profit maximizing output level, Q*? (Hint: Because Firm D can perfectly price discriminate, its Marginal Revenue function is equivalent to inverse demand).
(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)
Consider the relationship between monopoly pricing and the price elasticity of demand. If demand is inelastic and a monopolist raises its price, quantity would fall by a percentage than the rise in price, causing profit to Therefore, a monopolist will produce a quantity at which the demand curve is elastic. Use the purple segment (diamond symbols) to indicate the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal- revenue (MR) curve.) Then use the black point (plus symbol) to show the quantity and price that maximizes total revenue (TR). (? 10 Demand Inelastic Demand 6 5 Max TR 3 2 1 -1 -2 Marginal Revenue -3 -4 1 2 3 4 5 7 8 9 10 Quantity
A monopolist is operating in two separate markets. The inverse demand functions for the two markets areP1 = 35 – 2.5Q1 and P2 = 30 – 2Q2. The monopolist’s total cost function is TC(Q) = 8 + 5(Q1 + Q2). The monopolistcan price discriminate. What kind of price discrimination is relevant here? What is the profit-maximizing price ineach market? What is the monopolist’s profit?
Consider the relationship between monopoly pricing and the price elasticity of demand. If demand is inelastic and a monopolist raises its price, quantity would fall by a ▼. Therefore, a monopolist will Use the purple segment (diamond symbols) to indicate the portion of the demand curve that is inelastic. (Hint: The answer is related to the marginal- revenue (MR) curve.) Then use the black point (plus symbol) to show the quantity and price that maximizes total revenue (TR). Price 10 9 CO 7 6 S E 2 0 -2 Demand Search percentage than the rise in price, causing profit to produce a quantity at which the demand curve is elastic. Marginal Revenue 86 Inelastic Demand e + Max TR C ? (CC Speaker/Headph A
Consider a monopolist local movie theater which has two distinct client groups, adults and seniors. The inverse demands for the two group are given by:p(qA) = a − b · qAp(qB) = a/3-b/3.qB(a) Describe the demand function in the two markets graphically and then compute the demand elasticity in each market.(b) Compute the demand function qP under the assumption that the movie theather canonly offer a single price to both segments of the market. (Hint: at a given price addthe demand of the adults and senior market. You need to go from the inverse demand function to the demand function.) Illustrate the aggregate demand function in contrast to the demand functions in each segment. Now compute the optimal price of the movie theater when it can only offer a single and common price to the market segments. Who goes to the movies and who does not?(c) Next allow the movie theater to offer different prices in each segment and customerscannot mispresent their identity. What is the optimal price in…
A monopolist's inverse demand function is estimated as P= 400 - 2Q. The company produces output at two facilities; the marginal cost of producing at facility 1 is MC₁(Q1) = 7Q₁, and the marginal cost of producing at facility 2 is MC2(Q2)=2Q2- a. Provide the equation for the monopolist's marginal revenue function. (Hint: Recall that Q₁ + Q₂ = Q.) MR(Q) = 400 $ 7Q₁- b. Determine the profit-maximizing level of output for each facility. Instructions: Round your response to two decimal places. Output for facility 1: 14 Output for facility 2: 50 c. Determine the profit-maximizing price. Instructions: Round your response to the nearest penny (two decimal places). 272 x 4 Q2
The demand function for a monopolist is given by: P1 = 1,250 – 3.5Q and the cost function is given by C(Q) = 1,200 +1.5Q + 0.8Q2. This firm, Otsuka, is a pharmaceutical holding a patent on a depression treatment, Rexulti. However, the patent expired, and a generic treatment is offered in the market. Now, the new market price is P=$400. What is optimal Q given the new market price?
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Assume the following for price discriminating monopolist aimed at maximizing profit. Total demand for the product of the monopolist is Q = 50-5P (P = 100-2Q) · Demand in Market one is Q1= 32-0.4P1(P1= 80-2.5Q1) · Demand in Market two is Q2= 18-0.1P2(P2= 180-10Q2) · Cost function is C = 50+40Q (where Q = Q1+ Q2) a. Find equilibrium quantities (Q1and Q2), and equilibrium prices (P1and P2), b. Calculate profit (π), c. Calculate and Interpret elasticities (ε1 and ε2)
Suppose a nonlinear price discriminating monopolist faces an inverse demand curve: P = 110-Q, and can set three prices depending on the quantity a consumer purchases. The firm's profit is: π = P₁ Q₁ + P₂ (Q₂ −Q₁) + P3 (Q3 − Q₂) - mQ3, where p₁ is the high price charged on the first units Q₁ (first block) and P2 is a lower price charged on the next (Q₂ -Q₁) units and p3 is the lowest price charged on the (Q3 - Q₂) remaining units. Q3 is the total number of units actually purchased, and m = 75 is the firm's constant marginal and average cost. Using calculus, determine the profit-maximizing values for P₁, P2, and p3, and the firm's profits. The profit-maximizing value for (round your answers to the nearest penny) P₁ P₂ = $ P3 = $ The firm's profit is $ 9 and
Problem 2.3. Monopoly with increasing marginal cost (15 points) A firm with cost function 2 CQ Q () 0.50 = is a monopoly in a market where the inverse demand function is pQ Q ( ) 120 2 = - . (a) Find the monopolist's marginal revenue and marginal cost. (b) Find the monopolist's profit- maximizing quantity and price Update: C(q)=.5q^2 and P(q)=120-2q