Question

各位经济学的高手。有条难题。请提我解答。功课啊。。麻烦了

Assume an individual consumes three goods, food, clothing, and automobiles. Denote the quantities of these goods as Q1, Q2, and Q3. the individual’s utility function is given by:
u()=5lnQ1+4lnQ2+10ln(1+Q3) The prices of the three goods are:
P1=10 P2=20 P3=20000 and individuals total income is $60,000.
Automobiles must be bought in discrete units, that is, Q3 must be equal to 0, 1, or 2.
Given these constraints, how will an individual allocate their income to maximize utility.
Discuss the corner solution in inherent in this problem.

Answer 1

见图片

Answer 2

此题属于约束条件下的消费者效用最大的问题具体的解答过程我没办法打上(我用手机) 给你两条思路一是利用单位货币效用相等二是利用拉格朗日求极值除此之外用图像也可