B.II.1 Suppose individuals consume two goods, baked beans 9₁ and apples 92. Total budget is y and prices are 0 ≤ P₁ < y/A and p2 ≥ 0. Preferences are represented by the indirect utility function v (y, P₁, P2) = ln (y - p₁A) 11 m [op²- ¹ [op-³ + (1-a)p²-8] 1-8 where • A ≥ 0 is a parameter reflecting baked bean needs, • 0 < a < 1 is a parameter reflecting taste for baked beans and apples, and • B≥0 is a parameter reflecting substitutability between baked beans and apples. (a) Find the uncompensated demand functions for the two goods. (b) Which, if either, good is a necessity?
B.II.1 Suppose individuals consume two goods, baked beans 9₁ and apples 92. Total budget is y and prices are 0 ≤ P₁ < y/A and p2 ≥ 0. Preferences are represented by the indirect utility function v (y, P₁, P2) = ln (y - p₁A) 11 m [op²- ¹ [op-³ + (1-a)p²-8] 1-8 where • A ≥ 0 is a parameter reflecting baked bean needs, • 0 < a < 1 is a parameter reflecting taste for baked beans and apples, and • B≥0 is a parameter reflecting substitutability between baked beans and apples. (a) Find the uncompensated demand functions for the two goods. (b) Which, if either, good is a necessity?
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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Question
Suppose individuals consume two goods, baked beans q1 and apples q2. Total budget is y and prices
are 0 ≤ p1 < y/A and p2 ≥ 0. Preferences are represented by the indirect utility function below.
Need help with question a) Find the uncompensated demand functions for the two goods
![B.II.1 Suppose individuals consume two goods, baked beans q1 and apples q2. Total budget is y and prices
are 0< pi < y/A and p2 > 0. Preferences are represented by the indirect utility function
v (y, P1, P2) = In (y – p1 A)
1
In ap1
+ (1 – a)p;)
-
1
where
• A>0 is a parameter reflecting baked bean needs,
• 0 < a < 1 is a parameter reflecting taste for baked beans and apples, and
• B 2 0 is a parameter reflecting substitutability between baked beans and apples.
(a) Find the uncompensated demand functions for the two goods.
(b) Which, if either, good is a necessity?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc6a56a8a-0085-43f1-ad09-e311f5de92a7%2F6c79fb7c-8d38-4be7-9a71-a5db96fa2a74%2Fedtwtnp_processed.png&w=3840&q=75)
Transcribed Image Text:B.II.1 Suppose individuals consume two goods, baked beans q1 and apples q2. Total budget is y and prices
are 0< pi < y/A and p2 > 0. Preferences are represented by the indirect utility function
v (y, P1, P2) = In (y – p1 A)
1
In ap1
+ (1 – a)p;)
-
1
where
• A>0 is a parameter reflecting baked bean needs,
• 0 < a < 1 is a parameter reflecting taste for baked beans and apples, and
• B 2 0 is a parameter reflecting substitutability between baked beans and apples.
(a) Find the uncompensated demand functions for the two goods.
(b) Which, if either, good is a necessity?
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