In the market of a homogeneous product, two companies, A and B, produce with same technology. The total cost function of company i is C (qi) = 10 + 25qi, where i = A, B. The inverse demand function for the good is given by equation P = 100- (qA+qB), where Q=qA+qB. a) Assuming that companies choose their quantities at the same time, yes calculate the market price and determine the profits of the business and the consumer surplus. b) If the two companies set their prices at the same time, instead of the quantities, to calculate the market equilibrium price and determine the profits of each business and consumer surplus.
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- Ajax Cleaning Products is a medium-sized firm operating in an industry dominated by one large firm—Tile King. Ajax produces a multiheaded tunnel wall scrubber that is similar to a model produced by Tile King. Ajax decides to charge the same price as Tile King to avoid the possibility of a price war. The pnce charged by Tile King is $20,000. Ajax has the following short-run cost curve: TC=800,0005,000Q+100Q2 Compute the marginal cost curve for Ajax. Given Ajaxs pricing strategy, what is the marginal venue function for Ajax? Compute the profit-maximizing level of output for Ajax. Compute Ajaxs total dollar profits.Exercise 4.5 Roger is a regular consumer of personalized greeting cards with Hofmann photographs. Its demand curve is given by qd = 31 - 0.5P. Rogelio is a representative consumer of this type of cards so we can assume that the rest of the customers, 1,000 in total, have the same demand curve. The supplier company, Hofmann, can produce each card at a constant average and marginal cost of €2. In the market of personalized greeting cards there are many other companies that offer very similar cards. Consider the following 4 scenarios: (i) Hofmann acts as a perfect competitor. ii) Hofmann acts as a monopolist. iii) Hofmann acts as a first-degree discriminator monopolist iv) Hofmann acts as a second-degree discriminator monopolist and offers each of its customers the possibility to buy the first 15 cards at a unit price of € 32, the next 5 (from € 16 to 20) at a unit price of € 22 and the following 10 (from € 21 to 30) at a unit price of €2. Calculate, for the 4 scenarios proposed, the…James mainly sells confectionery items, newspapers, magazines and cigarettes in his convenience store. Noting his small business is not thriving, he thought of selling hot pies and rolls too. Suppose the total cost function for rolls and pies is, TC = 900 + 50Q, Q = Q1 + Q2 Where Q1 and Q2denote the quantities of rolls and pies respectfully. If P1 and P2 denote the corresponding prices, the inverse demand equations are. Q1 = 70 - P1 and 0.5Q2 = 100 - P2 a)If James decides to make a total of 48 rolls and pies per day and charges different prices as above (that is, P1 ≠ P2 ), how many of rolls and pies each should he make in order to maximize the profit of a particular day? Estimate and interpret the Lagrange Multiplier λ [note: assume second-order conditions are satisfied]. b)Using your knowledge of input-output tables, explain which components of the economy will be affected if all convenience stores, including James’, closed down for three months due to the COVID-19. What would…
- A price-taking firm in a competitive industry of a good that is continuously divisible (like sand) has a total cost function TC(Q) = 3.5Q^2 + 100Q + 500. The market price for the good is p = $240. a: Carefully write out this firm’s profit maximization problem, using the particulars of thisproblem. b: Give the marginal condition (equation) that characterizes the solution to this problem. Solvethis condition for the firm’s optimal quantity Q*. c: Calculate the firm’s maximized profit. d: On a graph with quantity on the horizontal axis, neatly plot the marginal revenue curve andmarginal cost curve. Show Q* on your graph. e: Label areas on your graph using a, b, c, etc. and indicate the areas that correspond to totalrevenue and variable cost.Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to$50 and a fixed cost of $22,500. You are asked to advise the CEO as to what prices andquantities BMW should set for sales in Europe and in the United States to maximize its profits.The demand for BMWs in each market is given by:QE = 8,000 – 80PE and QU = 4,000 – 20 PU,where the subscript E denotes Europe, the subscript U denotes the United States. Assume thatBMW can restrict U.S. sales to authorized BMW dealers only. Support your answersgraphically as well.a. If, by an international agreement between Europe and United States, BMW wereforced to charge the same price in each market, what would be the quantity sold in eachmarket, the equilibrium price, and the company’s profit?b. Suppose now that Europe and United States signed a new trade package under whichBMW now can charge different prices across the two markets. What quantity of BMWsshould the firm sell in each market, and what should the price be…Please no written by hand solutions 2. Mr Gieves and Mr Hawkes produce items of clothing. The market demand for clothes is y = 13-p with y = y1+y2 and p denoting the market price of clothes. Mr Gieves and Mr Hawkes compete by simultaneously choosing the quantity of clothes to send to the market, and their cost functions are C1 (y1) = y₁ and C₂(y2) = y2 respectively. (a) Set up the profit functions, and derive the reaction functions. (b) Find the Cournot equilibrium of the market. Indicate what the market price, individual outputs and profits are.
- Your current prices are $311 in the Southwestern region; $278 in the western-region and $240 in the New England region. Your marginal cost is now $212.21. Given the predicted changes in quantity demanded by region per problem 1 using the stay even analysis %ΔQd = %ΔP/[%ΔP +((P-MC)/P)], can you raise prices by 7% in any of the regional markets? State your conclusion and then show the all the steps supporting your conclusion. (Note you are not being asked to compute the new price. The predicted changes in quantity demanded by region per problem 1 are: 19.32 or 19% percent change in quantity demanded for the Southwestern region Western Region is 0.245 or 24.5 or 25% NE Region is 0.4032 or 40.32 or 40% I don't understand this question and need assistance.As the new general manager of the Grand Palladium Jamaica luxury all-inclusive resort, youare assessing your pricing policies. Currently, the price of a weekend stay is $2,000 perguest. You estimate the marginal cost of serving a guest at $1,600, and while yourpredecessor unfortunately did not leave you data from the pricing experiments and testmarketing she performed, you do know that such experiments were done, and that yourpredecessor was competent.a. What is your best estimate of the elasticity of demand for a weekend stay at the GrandPalladium?b. Your learned that at the current price, the resort is only 80% full on the weekends.Remembering the sense of belonging that you experienced in a crowded subway duringthe rush hour, you contemplate lowering the price so the resort is completely full. What isyour back-of-the-envelope calculation for how much you need to lower the price?c. After some thought you cooled to the idea of full occupancy. Instead, you focused yourenergy and…A donut shp has a fixed cost of $92000 per day and a varibale cost of $2 for each donut produced. If the donuts are sold to distributors for $5 each. What is the price-demand function? What is the revenue function?
- Duck Donuts sells plain and premium donuts. Premium donuts are plain donuts with special toppings. Demand for plain (PL) donuts is: PPL = 3 - 0.2QPL and Demand for premium (PR) donuts is: PPR = 4.4 - 0.4QPR The marginal cost for each is: MCPL = 0.20 MCPR = 0.40 Which of the following statements is true? a.Plain donuts generate more Total Revenue than premium donuts b.More premium donuts will sell than plain donuts c.Only premium donuts should be sold d.Only plain donuts should be sold e.Premium donuts generate more Total Profit than plain donutsAVAC is the only pharmaceutical firm producing a Vaccine. The Demand Curve for its product is Qd = 250 – 50 P where P is Price and Q are packs of vaccines in ‘000 Total Cost Function estimated by the firm is TC = 15 + 0.5Q where Q is monthly output. A.What is the market structure of AVAC? State its characteristics B.To maximize profit, What will be the optimum price and how many packs of Vaccine should the firm produce and sell per month? If this number of packs is produced and sold, what will be the firm’s monthly profit? C.Using available information, draw AVAC’s demand, marginal revenue and marginal cost curves in a graph and clearly label thefirm’s profit maximizing price, quantity and profit. Do you observe any welfare loss? If so, also indicate and label the area on the graph. D.Assume all other pharmaceutical firms in the market start producing the Vaccine and the market becomes competitive. What will be the impact on price and marginal revenue?Would…AVAC is the only pharmaceutical firm producing a Vaccine. The Demand Curve for its product is Qd = 250 – 50 P where P is Price and Q are packs of vaccines in ‘000 Total Cost Function estimated by the firm is TC = 15 + 0.5Q where Q is monthly output. a. What is the market structure of AVAC? State its characteristics. b. To maximize profit, What will be the optimum price and how many packs of Vaccine should the firm produce and sell per month? If this number of packs is produced and sold, what will be the firm’s monthly profit? c. Using available information, draw AVAC’s demand, marginal revenue and marginal cost curves in a graph and clearly label thefirm’s profit maximizing price, quantity and profit. Do you observe any welfare loss? If so, also indicate and label the area on the graph. d. Assume all other pharmaceutical firms in the market start producing the Vaccine and the market becomes competitive. What will be the impact on price and marginal…