Suppose that there is a firm which has a monopoly and price per unit P(Q) with the quantity Q is given s.t: P(Q) = 100 – Q, Q E [0,300] and the cost function is 1000 C(Q) = 03 -Q² + 50Q + Find the production level that maximizes profit. 3 600
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A: Since you posted multiple questions, we will provide the answer for first questions.
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- You own a road resurfacing business called Dahyun Bricks services located in Seoul. You are the only reservicing business in South Korea. Therefore, you have a local monopoly. Your experience running the company for many years has taught you that market demand for your service can be described by the demand function: p = 20 - Q. The cost function is c =q². Therefore, marginal cost equals 2q. Quantity refersto square metre of road resurfacing. Note the Q denotes aggregate market demand and q denotes your production. Of course, if you are the only supplier than q = Q. a) Compute profit maximising price and output. Compute profits. b) The monopoly profit that you have been earning has attracted attention from another firm that will set up operations in South Koreaand compete for market share. You are concerned with losing market share and profit. So, you offer the potential entrant the following deal. Both firms agree to maximise industry profits (joint profits). The potential entrant…Waterker is the only company selling the gorgeous Perspective fountain pens. The cost to produce q pens is C(q) = 0.5q² + 10. (In the long run, all costs are avoidable.) The demand for these incredible pens is given by p(a) = 132 - q/10. How much deadweight loss is generated by Waterker's monopoly on the Perspective? Enter a numerical value below. You may round to the second decimal if necessary.The demand a monopoly faces is p = 400 - Q+A 0.5 where Q is its quantity, p is its price, and A is the level of advertising. Its marginal cost of production is $40, and its cost of a unit of advertising is $1. What is the firm's profit equation? The monopoly's profit equation (л) as a function of Q and A is π= (400-Q+A05) Q-40Q-A. (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ character.) The monopoly's profit-maximizing price is p = $270, quantity is Q = 260, and advertising is A = 16900. (Enter numeric responses using real numbers rounded to two decimal places.)
- You are the manager of a monopoly. A typical consumer's inverse demand function for your firm's product is P = 250- 4Q, and your cost function is TC = 10Q. A. MC is fixed and is equal to $10 (MC=AC=S). MR=250-8Q. (P=price, Q=quantity of output, TC=total cost, MC=marginal cost, MR=marginal revenue, S=supply) What price the company should choose to get maximum profit if the company will use ordinary pricing strategy? Now suppose the company is thinking about using price discrimination for lower income group of customers. If the company will offer discount of $30 in price to the lower income groups how much additional profit will the company earn? Illustrate graphically. Explain the conditions needed to apply the price discrimination strategy?A compagny WasserProduct, a water production and distribution company is in a monopoly situation. it's total cost function is given by: CT (q) = q² + 10q where q represents the quantities produced in millions of m ^ 3 of water. She is faced with the following request p = 50-4q with p the price in cents. 1) Calculate the price, quantity and monopoly profit of WasserProduct 2) Represent graphically the demand curves of average cost, marginal cost and marginal revenue of WasserProduct 3) WasserProduct learns from the news that a potential entrant wants to enter the market by selling 5 units at a unit cost of 20. Determine the price level below which WasserProduct can set a limit price (it's possible that i need to use the inequality PL < Ce + |a|Qe) Then check whether the monopoly price calculated in question 1 can be considered a limited price 4) Would WasserProduct remain profitable if the entrant were to enter the market anyway (for this you have to calculate the market price that…The market demand function is represented by P = 10,070 -2Q. In this market demand function, Pand Q represent the price level and output respectively. The total cost function of firm(s) in this market can be represented as TC = 50,000 + 0.3Q + 0.01Q2 in which the relevant marginal cost function will be MC = 0.3 + 0.02Q. What will be the net market surplus under a monopoly? The supply function is S = MC = 0.3 + 0.02Q.
- Suppose the market for calculators is Q = 1000 - 50P. Calculators can be produced at a constant average and marginal cost of $10 per unit. Calculate the market output and price under monopoly?Suppose a monopoly firm has the following Cost and Demand functions: TC=Q2 P=80-Q MC=2Q MR=80-2Q Carefully explain what the firm is doing and why. Find the firm’s Profit maximizing Q Find the firm’s Profit maximizing P. Find the firm’s Profit. Suppose because of an advertising campaign, which costs $500, the monopoly’s demand curve is: P=100-Q so its MR= 100-2Q. MC=2Q Looking closely at the TC function and the demand curve, explain the effects of the advertising campaign on the equations compared with the equations above in part 1. Find the firm’s Profit maximizing Q Find the firm’s Profit maximizing P. Find the firm’s Profit. Was the advertising campaign successful? Compare 2 w/ 1. Why?1
- Consider a monopoly with demand P= 7000-Q The cost function for the firm operating in this market is C(Q)-Q2 Find the deadweight loss from this monopoly. Round to the nearest 100th.If a monopoly faces an inverse demand curve of p=450-Q, has a constant marginal and average cost of $30, and can perfectly price discriminate, what is its profit? What are the consumer surplus, welfare, and deadweight loss? How would these results change if the firm were a single-price monopoly? Profit from perfect price discrimination () is $88200. (Enter your response as a whole number.) Corresponding consumer surplus is (enter your response as whole numbers): welfare is and deadweight loss is Profit from single-price profit-maximization is = $44100. (Enter your response as a whole number.) Corresponding consumer surplus is (enter your response as whole numbers): welfare is and deadweight loss is CS = $0 W = $ 88200 DWL = $0. CS = $ 22050 W = $ 66150 DWL = $ 22050Question 2 Alice is the monopoly producer for DrinkMeTM, a magical potion that makes you shrink in size. Market demand for this potion is given by p = 60 - 3Q and Alice's costs of production are C(q) = 12g. Please calculate the following quantities. %3D %3D a) Monopoly price, quantity and profits b) The fair market price in perfect competition c) The welfare loss which occurs due to the monopoly