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Montclair State University *

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563

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Economics

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Nov 24, 2024

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1

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3. Provide the equation for the monopolist’s marginal revenue function. (Hint: Recall that @y + Q2 = Q) MRQ=] 100|@-[ 4|@&-[ 40X 0. Determine the profit-maximizing level of output for each facility. Instructions: Round your response to two decimal places. Output for facility 1: () Output for facility 2: |:| (] c. Determine the profit-maximizing price. Instructions: Round your response to the nearest penny (two decimal places). s[_]o Explanation a. Since the inverse demand is P=100 - 2Q; - 2Q 2, marginal revenue is MR(@ =100 - 4Q;- 4Q>. b. Solving these two equations simultaneously yields Qy=6.25 and Q2>=125. 100 - 4Q;-4Q>=4Qy 100 -4Q1-4Q2=2Q>2 c. Given Q1=6.25 and Q>=12.5, P=100 - 2(6.25) - 2(12.5) = $62.50.
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