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.

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Chapter1: Making Economics Decisions
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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:
↑
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: $
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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