An industry A has an inverse demand function: P = 120 – Q2 and a total cost function: TC = 30Q Fill the following table after calculating; 1. Consumer Surplus 2. Profits 3. Total Social Welfare 4. Deadweight Loss In both perfect competition and pure monopoly
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- Q1. A firm faces the following average revenue (demand) curve: P = 100 - 0.01Q where Q is weekly production and P is price, measured in cents per unit. The firm’s cost function is given by C = 50Q + 30,000. Assuming the firm maximizes profits, a. What is the level of production?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.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 price charged by Tile King is $20,000. Ajax has the following short-run cost curve:TC = 800000 - 5000Q + 100Q2a. Compute the marginal cost curve for Ajax.b. Given Ajax’s pricing strategy, what is the marginal revenue function for Ajax?c. Compute the profit-maximizing level of output for Ajax.d. Compute Ajax’s total dollar profits.
- A two product firm faces the following demand anc cost functions: Q1 = 40 - 2P1 - P2 Q2= 35 - P1 - P2 C = Q21 + 2 Q22 + 10 (a) Find the output levels taht satisfy the first-order condition for maximum profit. (use fractions.) (b) Check the second-order sufficient condition. Can you conclude that this problem possesses a unique absolute maximum? (c) What is the maximal profit?Natural-ExP is a unique company that is dedicated to making day trips to the Nevado de Toluca. The service includes transportation, food and guide service. Being the number of tickets sold, if the cost function of serving a new customer is Cmg = 20q, the marginal revenue function Img = 600−40q and the demand is q = (600 − p) /20. Under this scenario, what is the price of the excursion. $400 $600 $300 $100Question 1 . In 2004, the country of Lesotho in southern Africa made most of its export earnings, 90% in 2004, from garment and textile factories. Many of these clothing items, particularly t-shirts, were sold in the U.S. Sub Question a. Assume that the market for cotton textiles is perfectly competitive. Assume, also, that the market price for a t-shirt is $3 and the marginal cost function for a typical Lesotho textile factory is MC = .5 + .1Q (Q is in 1000’s of t-shirts). Solve for Q, the output of a typical Lesotho factory. Using a graph, illustrate the long run equilibrium for this Lesotho garment factory in 2004 (hint: you will need to graph the above two functions plus a hypothetical (but plausible) ATC function). Sub Question b. At the beginning of 2005, the U.S. ended textile quotas from China. This made it much easier for the U.S. to import inexpensive textiles, such as t-shirts, from China. Using S&D analysis, illustrate how the end of textile quotas on China would impact…
- Jamie Co. has a patented disinfectant to clean the kitchen of restaurants. The marketdemand for her patented disinfectant is Q = 1,000 – 0.2P. Jamie Co. has a totalcost function of C = 100,000 + 2,000Q + 10Q2.What is the profit-maximizing price and output level of Jamie Co.? Show yourworkings.Two dairy farmers produce milk for a local town with local milk demand given by Q=100-0.3333333333P(P denotes price measured in Rands, Q denotes the quantity measured in liters). Both farmers have the same cost function given by TC=150+2q(wheredenotes output). (h) What if farmer 1 is a leader and farmer 2 a follower, determine the price, quantity and profits made by these two farmers.Perfect CompetitionFirm cost equation: TC = 64 - 4Q + Q2Market demand: Q = 648 - 4PSolve for how many firms serve the market. Enter as a value.
- Suppose Bedox is a patent drug for man’s beauty. Her manufacturer faces a market demand for Bedox of Q = 1,000 – 0.2P. She has a cost function of C = 300,000 – 1,000Q + 10Q^2. What is the profit-maximizing output level and price? What is the profit? Show your calculation and the calculated results on a well-labeled diagram.Suppose that demand for a particular style of handmade Rwandan baskets is Qd = 1700 – 10P. Each basket maker has the following cost function: TCi = 1000 + 50 qi + .1 qi^2. Given this information, find the market outcomes under the various market structures below Perfect competition, long-run. Given the same cost functions above, find the long-run equilibrium quantity per firm, the LR market price, market quantity and equilibrium number of firms. What is the profit or loss per firm? What is MCi and ATCi?The price-demand equation for the production of bluetooth speakers is: p = 250 - 1/20x, for 0 is less than or equal to x and x is less than or equal to 5000 where x speakers can be sold at $p per each speaker. The cost to produce x speakers is given as C(x) = 150,000 + 30x, where both C(x) and p are represented in dollars ($). - find the profit function and the marginal profit and interpret the quantity P'(4500) - find the marginal cost and interpret the quantity C'(3000) - find the revenue function and the marginal revenue and interpret the quantity R'(3000)