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Refer to the Following:
Consider a Competitive Industry and a Price-Taking

question 40

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Refer to the following:
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 \mathrm { 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 2015:
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 2015.
-What is the price forecast for 2015?


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