The following are the total cost (TC), marginal cost (MC) and total revenue (TR) functions for a competitive gadget maker: TC = £250,000 + £10Q + £0.001Q² ƏTC MC = = £10 + £0.002Q de TR = £60Q where Q is the number of gadgets produced. a) Find the optimal quantity of gadgets that maximises profit. b) Use the information obtained in part (a) to calculate the profit. c) If the gadget maker is typical of firms in the industry, calculate the firm's long-run equilibrium output and price. d) Market price declines to £40. Should the firm continue operating in the market. Explain.

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
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ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
ChapterB: Differential Calculus Techniques In Management
Section: Chapter Questions
Problem 5E
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Question 5
The following are the total cost (TC), marginal cost (MC) and total revenue (TR) functions for a
competitive gadget maker:
TC = £250,000 + £10Q + £0.001Q²
ƏTC
MC =
= £10 + £0.002Q
de
TR = £60Q
where Q is the number of gadgets produced.
a) Find the optimal quantity of gadgets that maximises profit.
b) Use the information obtained in part (a) to calculate the profit.
c) If the gadget maker is typical of firms in the industry, calculate the firm's long-run
equilibrium output and price.
d) Market price declines to £40. Should the firm continue operating in the market. Explain.
Transcribed Image Text:Question 5 The following are the total cost (TC), marginal cost (MC) and total revenue (TR) functions for a competitive gadget maker: TC = £250,000 + £10Q + £0.001Q² ƏTC MC = = £10 + £0.002Q de TR = £60Q where Q is the number of gadgets produced. a) Find the optimal quantity of gadgets that maximises profit. b) Use the information obtained in part (a) to calculate the profit. c) If the gadget maker is typical of firms in the industry, calculate the firm's long-run equilibrium output and price. d) Market price declines to £40. Should the firm continue operating in the market. Explain.
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