A monopoly sells 30 units of output when price Ksh 12 and 40 units when price is Ksh 10. If its demand schedule is linear, what is the specific form of the actual demand function? Use this function to predict quantity sold when price is Ksh 8. What domain restrictions would you put on this demand function?

A monopoly sells 30 units of output when price Ksh 12 and 40 units when price is Ksh 10. If its demand schedule is linear, what is the specific form of the actual demand function? Use this function to predict quantity sold when price is Ksh 8. What domain restrictions would you put on this demand function?

Microeconomic Theory

12th Edition

ISBN:9781337517942

Author:NICHOLSON

Publisher:NICHOLSON

Chapter14: Monopoly

Section: Chapter Questions

Problem 14.9P

See similar textbooks

Similar questions

A monopoly sells 30 units of output when price is GH¢12 and 40 units when price is GH¢10. If its demand schedule is linear, what is the specific form of the actual demand function? Use this function to predict quantity sold when price is GH¢8. What domain restrictions would you put on this demand function?
A monopoly operates according to the following inverse demand function and total cost function where Q is output and P is the price in dollars. P = 50 – 0.50Q Inverse Demand Function TC = 20Q Total Cost Function Suppose that the monopoly sets price and output based on a two-part pricing strategy. Calculate the amount of output exchanged. Calculate the cost of the lump-sum access fee.
Give only typing answer with explanation and conclusion The market demand for a monopoly firm is estimated to be: Qd = 100,000 - 500P + 2M + 500PR where Qd is quantity demanded, P is price, M is income, and PR is the price of a related good. The manager has forecasted the values of M and PR will be $50,000 and $20, respectively, in 2016. The average variable cost function is estimated to be AVC = 520 - 0.03Q + 0.000001Q2 Total fixed cost in 2016 is expected to be $4 million. The profit-maximizing price for 2016 is $80. $100. $260. $520. $560.
A firm is a profit-maximizing monopolist in the market of a patented computer software. As an economic analyst,you observe the following data:a) The monopoly’s price is set at $50 per copy.b) The monopoly’s total revenue is $300,000.c) The monopoly’s marginal cost at the profit-maximizing quantity is at $30 per copy.Based on the observed data, please determine the linear inverse demand function.Fill in the blanks. Suppose the inverse demand function is of the formwhere a, b are both positive constants, determine the value for a: 1 and b: 2 .Hint: a should be an integer, the answer for b should round to four decimal places.
Consider a market with a monopoly firm. Sales revenue of this firm is $15,960,000 total cost is $8,680,000 and average cost is $3.10 Another firm wants to enter the market and provide the same product at a lower price. To intimidate the potential competitor, the monopoly firm intends to use predatory pricing.By how much can this firm reduce the price of its product without losses? Enter your answer in the box below and round to two decimal places if necessary.
Assume a monopoly has two groups of customers, and each group of customers has different demand for the firm's product. Group A's demand is: Pa = 90 - .1qa where qa is group A's quantity demanded and Pa is the commodity's price in dollars for group A customers. Group B's demand is: Pb = 170 - .2qb where qb is group B's quantity demanded and Pb is the commodity's price in dollars for group B customers. The firm's total cost curve is: TC = 30,000 + .05q2 where TC is the firm's total cost in dollars and q is the total quantity of output produced by the firm. Based upon the above equations, answer the following questions: a. What quantity of the commodity would the firm sell to customers in group B? What price would the firm establish for customers in group B? b. What quantity of the commodity would the firm sell to customers in group A? What price would the firm establish for customers in group A?
A university’s students have demand for credit hours given by q = 30 – 0.04p, where p is the price per credit hour. a) If the university charges only one price for credit hours irrespective of the number of credit hours a student enrolls for, identify the price per credit hour that would maximize revenue for the university. b) If the university adopts a two-tier pricing structure, identify the structure that would maximize revenue for the university. Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
Let be a monopoly whose total cost function is such that C(Q) = 2Q. The (inverse) demand in this market is given by P(Q) = 16 - Q. Which one is right ? a. If the monopoly maximizes its profit, Dead load of the monopoly is 32.5 b. If the monopoly maximizes its profit . Dead load of the monopoly is 24.5 c. If the monopoly maximizes its profit. Dead load of the monopoly is 35 d. None of these statements is correct e. If monopoly maximizes its profit The dead load of monopoly is 28.5
If, in a monopoly market, the demand function for a product is p = 160 − 0.10x and the revenue function is R = px, where x is the number of units sold and p is the price per unit, what price will maximize revenue?$ ______
Suppose a certain city has a monopoly cable-television company. This company has total costs TC = 0.25Q2 + 30Q + 70. (Hint: using calculus, this means MC = 0.5Q+ 30since MC is the derivative of TC with respect to output.) The demand in the community is approximated by the equationQd = 60- P/2(alternatively, you can write the demand equation as Qd = 60–0.5P). Graphically depict the demand curve as well as the marginal cost (MC) curve. If the cable company is free to choose its own pricePm and quantityQm, graphically depictthe monopoly equilibrium price and quantity. Add any other curve(s) to your diagram that may be required to obtain this outcome. Compute and state the exact monopolist equilibrium pricePm and quantityQm that you depicted graphically.
Suppose that econometricians at Hallmark Cards determine that the price elasticity of demand for greeting cards is -2. (a) If Hallmark's marginal cost of producing cards is constant and equal to $1.00, use the Lerner Index to determine what price Hallmark should charge to maximize profit. (b) Suppose that Hallmark Cards wishes to know the price elasticity of demand faced by its archrival, American Greetings. Hallmark hires you to estimate it. Hallmark provides you with an educated guess concerning the marginal cost of producing a greeting card, which they estimate to be constant and equal to $1.22. A quick trip to the store tells you that American Greetings is selling its cards for an average of $3.25. Using these numbers and assuming that American Greetings is maximizing profit, calculate the price elasticity of demand faced by American Greetings Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You…
Suppose the demand for a product X produced by a company AAA is given by the following function: QX = 2000 - 250*PX. At what price per item of the product X (EUR) can this copmany maximize its total revenues? Fill in the Table gaps: Demand function Price function Total Revenue (EUR) Marginal Revenue (EUR) Quantity Price per product (EUR) Q = 2000 - 250P P = ? TR = Q*P MR = dTR/dQ = 0 Q = ? P = (2000 - Q)/250 250P = 2000 - Q TR = Q*(2000 - Q)/250 MR = 8 - 2*Q/250 Q/125 = 8 P = (2000 - 1000)/250 P = (2000 - Q)/250 TR = 8*Q - Q^2/250 8 - Q/125 = 0 Q = 1000 P = 4 Alternative solution Demand function Total Revenue (EUR) Marginal Revenue (EUR) Price per product (EUR) Q = 2000 - 250P TR = Q*P MR = dTR/dP = 0 2000 - 500*P = 0 TR = (2000 - 250P)*P MR = 2000 - 2*250*P 500*P = 2000 TR = 2000P - 250P^2 MR = 2000 - 500*P P = 4