Suppose the average total cost (ATC) of a firm is given as 4 ATC = Q +- Find the output(Q) that minimizes marginal cost

Essentials of Economics (MindTap Course List)
8th Edition
ISBN:9781337091992
Author:N. Gregory Mankiw
Publisher:N. Gregory Mankiw
Chapter12: The Cost Of Production
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Question Three
a) Suppose the average total cost (ATC) of a firm is given as
4
ATC = Q +
- 2
Find the output(Q) that minimizes marginal cost
b) Consider the following average revenue and cost functions
AR = 60 – 6Q
TC = 10Q² – 6Q + 30
Suppose the government imposes a per-unit tax on output Q such that tax function is given as
T = tQ wheret is the tax rate. Determine:
i)
The output that maximizes profit
ii)
Tax rate t that maximizes tax revenue
iii)
Total tax T
iv)
Maximum profit and price level
Transcribed Image Text:Question Three a) Suppose the average total cost (ATC) of a firm is given as 4 ATC = Q + - 2 Find the output(Q) that minimizes marginal cost b) Consider the following average revenue and cost functions AR = 60 – 6Q TC = 10Q² – 6Q + 30 Suppose the government imposes a per-unit tax on output Q such that tax function is given as T = tQ wheret is the tax rate. Determine: i) The output that maximizes profit ii) Tax rate t that maximizes tax revenue iii) Total tax T iv) Maximum profit and price level
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