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单项选择题
A
𝑀 𝑅 = 𝑀 𝐶 ⟹ 𝑄 = 25
B
𝑀 𝑅 = 𝑀 𝐶 ⟹ 𝑄 = 20
C
𝑀 𝑅 = 𝑀 𝐶 ⟹ 𝑄 = 15
D
𝑀 𝑅 = 𝑀 𝐶 ⟹ 𝑄 = 10

Question

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单项选择题

A

𝑀 𝑅 = 𝑀 𝐶 ⟹ 𝑄 = 25

B

𝑀 𝑅 = 𝑀 𝐶 ⟹ 𝑄 = 20

C

𝑀 𝑅 = 𝑀 𝐶 ⟹ 𝑄 = 15

D

𝑀 𝑅 = 𝑀 𝐶 ⟹ 𝑄 = 10

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.

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

智能学习助手

风格化写作助手

论文查重助手

文献引用助手

课堂转译助手

课堂笔记助手

Quiz搜索助手

学校历年真题

智能刷题助手

智能匹配练习

希望你的学习变得更简单

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?