Suppose that a monopolist has a patent for widgets and the demand curve is given by Q(P) = 12 – 0.02P. The monopolist’s total costs are TC(Q) = 25Q^2 + 500. You may assume that widgets are continuously divisible, like corn oil or sand. a: Find the quantity Q* that maximizes the monopolist’s profit by exploiting the marginal condition, necessary for profit maximization at an interior solution. Neatly show your work. b: Find the price P* that the monopolist charges. Neatly show your work. c: Neatly graph the marginal revenue and marginal cost curves, with Q on the horizontal axis. d: Label relevant areas on your graph using a, b, c, etc. and fill in the following chart.

only question #4 please

Suppose a monopolist faces a market demand that is the first two columns in the table below. Also, in the short run, assume that Total Fixed Cost equals $100 and the monopolist has Total Variable Cost according to the table. Find Total Revenue for each price and quantity combination, and then Marginal Revenue as price falls and quantity increases. Fill in the rest of the costs in the table and find profit at each price and quantity combination as the difference between Total Revenue and Total Cost. If profit is less than zero that indicates a loss. What is the maximum profit you found in this table? At what quantity and price combination is profit maximized for this monopolist? Next, verify this result by using Marginal Analysis to find the profit maximizing price and quantity combination. For each quantity, ask yourself if Marginal Revenue exceeds Marginal Cost. If it does, then profits would be increased by producing that quantity. As you go down the table to higher quantities, stop…

Eyeglasslux is a single-price monopolist in the eye-glass frame market. It faces a Market demand given by Q=378-2P. Its Total Cost function is TC=6,422+20Q and Marginal Cost is MC=20. If the government imposes a price ceiling of $27, what is the monopolist's QUANTITY in the SHORT- run?

Assume quantities need not be integers. A monopolist incurs marginal cost equal to MC=Q per unit and faces demand P(Q)=18 – 3 x Q. If there is no fixed cost for production, what is the total cost of production?

Suppose that Noah and Naomi have a monopoly in the garden bench market. Their weekly demand is D(P) = 500 - 4P. What is the inverse demand function

A city in a developing country does not have a provider of water and sanitation services, leading to poor health outcomes for its citizens. A firm is considering entering thatmarket. The cost curve is C(g) = 10 + 2q, and the inverse demand is P(g) = 10-q. Thegovernment of that city knows that, because of the high fixed cost to operate in this market, any entrant is likely to become a monopolist. Thus, they decide to implement the following regulation: the firm is not allowed to choose a price above an upper limit of p (which the government chooses and sets in the law before the firm decides to enter).There will be no transfers between the government and the firm.Assume that the firm only enters the market if it can get profits of at least zero, given the government's choice of p. Suppose that the government's goal is to maximize consumer surplus. Which of the following statements is the most correct? The government needs to set p = 2, because it's the marginal cost. That eliminatesthe…

A movie monopolist sells to college students and other adults. The demand function for students is Q = 840 - 100P, and the demand function for other adults is Q = 1,600 - 100P. Costs is c(Q) = 12 +0.005Q2m per ticket, where Q=Qs+ QA- Instructions: Round your answers to 2 decimal places. a. What prices will the monopolist set when she can discriminate? Pstudent = $ per ticket. Padult = $ Profit = $ per ticket. b. What if demand for adults increases to Q = 1,800 - 100P? Pstudent = $ Padult = $ Profit = $ per ticket. per ticket. c. When adult demand increases, the adult price: decreases. does not change. increases. d. When adult demand increases, the student price: decreases. increases. does not change.

You are the manager of a monopolist that produces women shoes and faces a random marginal cost. The demand for women shoes is O = 1000 - 0.1P Marginal cost can be constant at either $60 with a probability of 50% or $40 with a probability of probability of 50%. Draw a graph and plot the demand for shoes. Derive the marginal revenue curve and plot it on the graph. Find the price and output that maximize profits. Find the firm's profits.

Consider a monopoly that faces the demand curve P = 20 − Q, and has the marginal cost curve MC = 2. a) Use the demand curve to find the equation of the marginal revenue curve. b) Find the profit-maximizing price and quantity for this monopoly if the monopoly uses uniform pricing. What is the producer surplus? c) Now, suppose the monopoly wants to increase profits using block pricing. The total cost the monopoly incurs is T C = 2Q. Find the optimal quantities, Q1 and Q2, and their corresponding optimal prices, P1 and P2 that maximize profits using a two-block pricing scheme. What is the new producer surplus? 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.