7. Let u(x₁, x₂) = 0.31n (x₁) + 0.7ln (x₂). These represent preferences that are smooth and convex. The demand for this consumer must be in the interior. Find the demand for this consumer when the budget is m and the prices of Good 1 and Good 2 are p₁ and på respectively. What happens to demand of Good 1 when p₁ is doubled (becomes 2p₁)?

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7. Let u(x₁, x₂) = 0.31n (x₁) + 0.7ln (x₂). These represent preferences that are
smooth and convex. The demand for this consumer must be in the interior. Find the
demand for this consumer when the budget is m and the prices of Good 1 and Good
2 are p₁ and på respectively. What happens to demand of Good 1 when på is
doubled (becomes 2p₁)?
Transcribed Image Text:7. Let u(x₁, x₂) = 0.31n (x₁) + 0.7ln (x₂). These represent preferences that are smooth and convex. The demand for this consumer must be in the interior. Find the demand for this consumer when the budget is m and the prices of Good 1 and Good 2 are p₁ and på respectively. What happens to demand of Good 1 when på is doubled (becomes 2p₁)?
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Preferences being convex and smooth means combination of both goods would be preferred by the consumer. The solution would be interior. 

 

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