You are given the following utility function and price of commodities q1 and q2: U = 3q1+q1q2-5q2-15 P1=3 and p2=2 If the corresponding bugdet is 20. i. Write the consumer's budget equation,augmented objective function, ii.construct a constrained utility maximization problem out of the information given above, Is the second order condition for a maximum satisfied?   Iii. Find the optimum level of U and the levels of q1 and q2 that will satisfy the first order condition for a maximum.

Exploring Economics
8th Edition
ISBN:9781544336329
Author:Robert L. Sexton
Publisher:Robert L. Sexton
Chapter10: Consumer Choice Theory
Section: Chapter Questions
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You are given the following utility function and price of commodities q1 and q2:

U = 3q1+q1q2-5q2-15

P1=3 and p2=2

If the corresponding bugdet is 20.

i. Write the consumer's budget equation,augmented objective function,

ii.construct a constrained utility maximization problem out of the information given above, Is the second order condition for a maximum satisfied?

 

Iii. Find the optimum level of U and the levels of q1 and q2 that will satisfy the first order condition for a maximum.

 

 

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