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?

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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?
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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