b) Consider the following demand and cost functions TC = Q² + 6Q P = 25 – 3Q Suppose the government imposes a per unit tax 't' on all products produced by the firm and that he total tax T collected is a function of output. Therefore, T = tQ. Determine: i. The quantity of output that maximizes profit. ii. The tax rate 't' that maximizes total tax. The maximum 'tax T.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter6: Elasticities
Section: Chapter Questions
Problem 20P
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b) Consider the following demand and cost functions
P = 25 – 3Q
TC = Q² + 6Q
Suppose the government imposes a per unit tax 't' on all products produced by the firm and that
the total tax T collected is a function of output. Therefore, T = tQ. Determine:
i. The quantity of output that maximizes profit.
ii. The tax rate 't' that maximizes total tax.
The maximum 'tax T.
Transcribed Image Text:b) Consider the following demand and cost functions P = 25 – 3Q TC = Q² + 6Q Suppose the government imposes a per unit tax 't' on all products produced by the firm and that the total tax T collected is a function of output. Therefore, T = tQ. Determine: i. The quantity of output that maximizes profit. ii. The tax rate 't' that maximizes total tax. The maximum 'tax T.
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