Suppose a monopolist's total cost function is given by c = 0.004q +30q + 2000, and the revenue function is r = g(1200 - 6g), where c is measured in dollars and q is measured in tonnes per week. a. Determine marginal cost when g = 50. b. Express profit (n) as a function of q. c. Determine the profit-maximising level of output and the corresponding maximum profit. Justify your answers.

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A: Note:- Since we can only answer one question at a time, we'll answer the first one. Please repost…

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A: Q=156-2P2P=156-QP=78-0.5QNow,TR=P x QTR=(78-0.5Q)Q    =78Q-0.5Q2MR=78-QGiven,TC=5654+Q2MC=Q(Here if…

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A: Answer to the question is as follows:

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A:

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A: as we know that profit is  maximize where MR = Mc and we find the TC and find the price as follow-

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A: p1=100-Q1  ⇒Q1=100-p1 p2=120-3Q2  ⇒3Q2=120-p2  ⇒Q2=40-13p2 C(Q)=12Q2  where Q=Q1+Q2

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A: Solution:(a)  P = 150-3Q MC1 (Q1) =6Q1 MC1 (Q2) =2Q2 Hint: Q1 + Q2 Thus, P = 150 -3Q1-3Q2 MR =…

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A: TC = 2500 + 50Q+0.5Q2MC = ∆TC∆QMC = 0.5 + 2(0.5) QMC = 50 + Q.............(equation1)   Q = 50-0.25P…

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A: Given that; Inverse demand function : P=100-2Q Cost function C(Q)10+2Q

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A: Monopoly condition for profit maximization  MR = MC Hence marginal cost = 20 Lerner index formula…

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A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

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A: Note: Since you asked a question with multiple sub-parts, I will answer only 3 questions. If you…

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A: We are going to use concepts such as additivity and sub-additivity to answer this question.

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