A producer has the possibility of discriminating between the domestic and foreign market for a product where the demands respectively are: Q₁ = 20 -0.2P₁ Q2 = 13.5-0.25P2 Total cost= 45+30Q, where Q= Q₁+Q₂ a) What price will the producer charge in order to maximize profits? With discrimination between i) markets ii) Without discrimination between markets. b) Compare the profit differential between discrimination and non-discrimination.
A producer has the possibility of discriminating between the domestic and foreign market for a product where the demands respectively are: Q₁ = 20 -0.2P₁ Q2 = 13.5-0.25P2 Total cost= 45+30Q, where Q= Q₁+Q₂ a) What price will the producer charge in order to maximize profits? With discrimination between i) markets ii) Without discrimination between markets. b) Compare the profit differential between discrimination and non-discrimination.
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
Related questions
Question
3
![A producer has the possibility of
discriminating between the domestic and
foreign market for a product where the
demands respectively are:
Q₁ = 20 -0.2P₁
Q2 = 13.5 -0.25P2
Total cost=45+30Q, where Q= Q₁+Q2
a) What price will the producer charge in
order to maximize profits?
With discrimination between
i)
markets
ii)
markets.
b) Compare the profit differential between
discrimination and non-discrimination.
Round all intermediate and final answers to
the nearest cent, 2 d.p.
i)
Market 1
Q₁=20-0.2P₁
1. TR₁=
Q₁-
Q₁²
2. MR₁=
Q₁
3. MC=
4. Q₁=
5. P₁=$
Without discrimination between
6. TRIMAX= $
7. TC=$
TPmax=$
Market 2
Q2=13.5-0.25P₂
TR₂=
Q₂-
Q₂²
MR₂=
Q₂
MC=
Q₂ =
P₂=$
TR2MAX= $
SAME
8. Combined TRmax= $ SAME
ii) Without price discrimination:
↑](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2e7789d-c60e-4a2d-8513-4d528efe3500%2Fc792bbcd-5e7d-4b54-a424-90561d438168%2Fo3arutl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A producer has the possibility of
discriminating between the domestic and
foreign market for a product where the
demands respectively are:
Q₁ = 20 -0.2P₁
Q2 = 13.5 -0.25P2
Total cost=45+30Q, where Q= Q₁+Q2
a) What price will the producer charge in
order to maximize profits?
With discrimination between
i)
markets
ii)
markets.
b) Compare the profit differential between
discrimination and non-discrimination.
Round all intermediate and final answers to
the nearest cent, 2 d.p.
i)
Market 1
Q₁=20-0.2P₁
1. TR₁=
Q₁-
Q₁²
2. MR₁=
Q₁
3. MC=
4. Q₁=
5. P₁=$
Without discrimination between
6. TRIMAX= $
7. TC=$
TPmax=$
Market 2
Q2=13.5-0.25P₂
TR₂=
Q₂-
Q₂²
MR₂=
Q₂
MC=
Q₂ =
P₂=$
TR2MAX= $
SAME
8. Combined TRmax= $ SAME
ii) Without price discrimination:
↑
![ii) Without price discrimination:
Use fractions in reduced form, if not terminating
decimals.
Q=
P can use decimals
P=
Q use fractions in reduced form
1.TR=
Q-
Q²
2.MR=
Q
3. MC=
4. Q=
5. P=$
round to the nearest cent
6. TRmax=$
round to the nearest cent
7. TC=$
8. TPmax=$
round to the nearest cent
b) Compare the profit differential between
discrimination and non-discrimination.
Round all intermediate and final answers to the
nearest cent, 2 d.p
Profit differential between discrimination and non-
discrimination: $](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2e7789d-c60e-4a2d-8513-4d528efe3500%2Fc792bbcd-5e7d-4b54-a424-90561d438168%2Fshsluw4_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ii) Without price discrimination:
Use fractions in reduced form, if not terminating
decimals.
Q=
P can use decimals
P=
Q use fractions in reduced form
1.TR=
Q-
Q²
2.MR=
Q
3. MC=
4. Q=
5. P=$
round to the nearest cent
6. TRmax=$
round to the nearest cent
7. TC=$
8. TPmax=$
round to the nearest cent
b) Compare the profit differential between
discrimination and non-discrimination.
Round all intermediate and final answers to the
nearest cent, 2 d.p
Profit differential between discrimination and non-
discrimination: $
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