Barbara is a producer in a monopoly industry. Her demand curve and total cost curve are given by Q = 160 - 4P and TC = 4Q. Barbara will produce ✓ units. Barbara will charge a price of Barbara will make a profit of

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
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Barbara is a producer in a monopoly industry. Her demand curve and total cost curve are given by Q = 160 - 4P and TC = 4Q.
Barbara will produce
✓ units.
Barbara will charge a price of
Barbara will make a profit of
Suppose now the government imposes a tax of 4 dollars on each unit sold. With the tax:
Barbara will produce
✓ units.
Barbara will receive a price per unit of
higher).
Barbara will make a profit of
In addition to the tax, suppose the government imposes a business levy (a fixed cost) of $500. With this levy:
Barbara will produce
Barbara will charge a price of
Barbara will make a profit of
✓. Note: we're looking for the Barbara receives, not the price consumers pay (which will be
✓ units.
✓. Note: we're looking for the Barbara receives, not the price consumers pay (which will be higher).
Transcribed Image Text:Barbara is a producer in a monopoly industry. Her demand curve and total cost curve are given by Q = 160 - 4P and TC = 4Q. Barbara will produce ✓ units. Barbara will charge a price of Barbara will make a profit of Suppose now the government imposes a tax of 4 dollars on each unit sold. With the tax: Barbara will produce ✓ units. Barbara will receive a price per unit of higher). Barbara will make a profit of In addition to the tax, suppose the government imposes a business levy (a fixed cost) of $500. With this levy: Barbara will produce Barbara will charge a price of Barbara will make a profit of ✓. Note: we're looking for the Barbara receives, not the price consumers pay (which will be ✓ units. ✓. Note: we're looking for the Barbara receives, not the price consumers pay (which will be higher).
Expert Solution
Step 1

Given,

Q = 160 - 4P and TC = 4Q

P = 40 - 0.25Q, inverse demand function

TR = 40Q -0.25Q2
When we compare TR to Q, we obtain

MR - 40-0.5Q

We get TC wrt. Q by differentiating TC.

MC = 4

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