Question at position 12 Consider the following scenario for the case of a market with a monopolist firm. MC=2QMC=2Q MR=60−2QMR=60-2Q P=60−QP=60-Q What is the profit maximizing condition for the monopolist?MR=MC⟹Q=25MR=MC\Longrightarrow Q=25MR=MC⟹Q=20MR=MC\Longrightarrow Q=20MR=MC⟹Q=15MR=MC\Longrightarrow Q=15MR=MC⟹Q=10MR=MC\Longrightarrow Q=10

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BlackTom AI · Accepted Answer

To tackle the monopolist's profit-maximization, we use the standard condition MR = MC. Given the data: MC = 2Q, MR = 60 − 2Q, and P = 60 − Q.

Option 1: MR = MC ⇒ Q = 25
We set MR = MC: 60 − 2Q = 2Q. Solving gives 60 = 4Q, so Q = 15. This option claiming Q = 25 does not satisfy the MR = MC equation, so it is inconsistent with the fundamental profit-maximization condition.

Option 2: MR = MC ⇒ Q = 20
As above, MR = MC leads to 60 − 2Q = 2Q, hence Q = 15, not 20. Therefore this option is also incorrect because it misstates the solution to the MR = MC equation.

Option 3: MR = MC ⇒ Q = 15
Setting MR equal to MC: 60 − 2Q = 2Q implies 60 = 4Q, so Q = 15. This directly follows from equating marginal revenue to marginal cost and solving for Q; it aligns with the given functional forms.

Option 4: MR = MC ⇒ Q = 10
Again, MR = MC yields Q = 15 as the solution; deriving Q = 10 would require a different equation or misapplication of MR/MC functions. This option therefore diverges from the correct algebraic solution.

In summary, each option presents a proposed quantity, but only the relation MR = MC with the given MR and MC functions resolves to Q = 15. The other quantities (25, 20, 10) do not satisfy the condition MR = MC using MR = 60 − 2Q and MC = 2Q, so they are not consistent with profit maximization in this setup.

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类似问题

Use the model above to answer the following question. The profit maximizing quantity for the monopoly is?

Figure 16-4Refer to Figure 16-4. How much output will the monopolist produce in order to maximize profit?

Figure 16-4Refer to Figure 16-4. How much output will the monopolist produce in order to maximize profit?

Figure 16-4Refer to Figure 16-4. How much output will the monopolist produce in order to maximize profit?

Figure 16-4Refer to Figure 16-4. How much output will the monopolist produce in order to maximize profit?

Figure 16-4Refer to Figure 16-4. How much output will the monopolist produce in order to maximize profit?

A monopolist faces the following demand curve: P=50-0.5Q where Q is the quantity demanded and P is the price. The monopolist's total cost function is given by: TC=50+4Q where TC is the total cost and Q is the quantity produced. What is the profit maximizing quantity?

Figure 16-5 The following graph depicts the market situation for a monopoly pastry shop called Bearclaws. ​ ​ ​ Refer to Figure 16-5. Based upon the information shown, how many units will Bearclaws produce to maximize profits?

更多留学生实用工具

希望你的学习变得更简单

Figure 16-5 The following graph depicts the market situation for a monopoly pastry shop called Bearclaws. Refer to Figure 16-5. Based upon the information shown, how many units will Bearclaws produce to maximize profits?