A perfectly competitive firm has a demand function Pd (Q) = 121 and costs given as TC (Q) = Q - 15Q² + 175Q. Find the output, Q at which profit is maximised? %3D %3D O 18 O 14 O 2 O 10
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- PakPerfect Inc. estimates equation of its total costs of production as TC = 500 + 10Q + 5Q2 and market demand for its product as Qd = 105 – (1/2) P, where Q is quantity in units and P is price in Pak$. 1. Given the market price of Pak$ 50 how many units should the firm produce? how many firms are competing in this market in short-run? How many firms will be in the industry in the long-run?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?For a company with (inverse) demand function P = 4,510 - 55Q and cost function C = 88,000 + 660Q, let QR, QU, and QP denote, respectively, the quantities that maximize revenue, per-unit profit, and overall profit. Which of the following statements is true?A. QU > QP > QRB. QP > QU > QRC. QU > QR > QPD. QR > QU > QP
- A bicycle manufacture faces a horizontal demand curve . the firm's total cost are given by the equation . TVC = 150Q - 20Q2 + Q3 where Q is the quantity. Below what price should the firm shut down operations?Given the following total revenue (TR) and total cost (TC) functions for a firm, write down the firm’s profit function. Determine the level of output the firm should produce in order to maximize profits by using the first-order condition. Confirm that this quantity represents maximum profits by using the second-order condition.TR=4000Q−33Q2TC=2Q3−3Q2 +400Q+5000For the following total-revenue and total-cost functions of a firm: TR=22Q - 0.5Q2 TC= (1/3)Q3 - 8.5Q2 + 50Q + 90 Determine the level of output at which the firm maximizes its total profit. Determine the maximum profit that the firm could earn.
- The market determined price in a perfectly competitive industry is P = Rs. 10. Suppose that the total cost equation of an individual firm in the industry is given by the expressionTC 1000+2Q+0.01Q2 What is the firm’s profit-maximizing output level and profit? Is this profit normal profit or supper normal profit? Justify your answerQ24 Consider a perfectly competitive firm in the following position: output = 4000, market price = $1, total fixed costs = $2000, total variable costs = $4500, and marginal cost = $1. To maximise profits, the firm should... a. Produce zero output. b. Increase the market price. c. Not change its output. d. None of the other options are correct. e. Expand its output.A perfect competitive firm estimates her cost function as given below: C = 100 + 5Q2a. What is the firm’s fixed and marginal cost?b. If all other firms in the market sell the product at a price ¢20. How much should thisfirm charge for the product?c. What is the optimal level of output to maximize profits?d. How much profit will be earned?e. In the long run should this firm continue to produce or shut down? Why
- Suppose company XYZ produces a differentiated commodity. The company has substantial control over the price of the product. The company’s cost function is estimated to be TC = 200 – 20Q + Q2, where Q is the volume per day. The firm also has the following demand equation P = 60 – 2Q, where P represents the price per unit and Q the volume of daily sales. What level of output should management of XYZ produce? a. 30 b. 10 c. 20 d. 15Given that the price in a competitive industry is 100 the firm's total equation is given as TC=50+20q+q2 Determine the firm's total stock revenue,the profit equation, the quantity which maximizes the profit , profit that maximizes the quantityIn a market that produces hotdogs operates in the long-run, and that each firm and potential entrant has a LRAC AC=10Q²-5Q +20 and a LRMC MC = 30Q³ - 10Q +20, where Q is thousands of units per year. The demand for hotdogs is given as D(P) = 39,000 -2,000P. (a) Solve for the market clearing condition.