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Consider a Competitive Industry and a Price-Taking Firm That Produces Qd=10,00010,000P+1.0MQ _ { d } = 10,000 - 10,000 P + 1.0 M

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Consider a competitive industry and a price-taking firm that produces in that industry.The market demand and supply functions are estimated to be: Demand: Qd=10,00010,000P+1.0MQ _ { d } = 10,000 - 10,000 P + 1.0 M Supply: Qs=80,000+10,000P4,000PIQ _ { s } = 80,000 + 10,000 P - 4,000 P _ { I } where Q is quantity,P is the price of the product,M is income,and PIP _ { I } is the input price.The manager of the perfectly competitive firm uses time-series data to obtain the following forecasted values of M and PIP _ { I } for 2021: M^=$50,000 and P^I=$20\hat { M } = \$ 50,000 \text { and } \hat { P } _ { I } = \$ 20 The manager also estimates the average variable cost function to be AVC=3.00.0027Q+0.0000009Q2A V C = 3.0 - 0.0027 Q + 0.0000009 Q ^ { 2 } Total fixed costs will be $2,000 in 2021.The profit (loss) is


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