Consider the following intertemporal consumption problem with one good and two periods. The quantity of the good consumed in period 1 and period 2 are q1 and q2. The price of each unit of the good is $1 in both periods. The consumer’s income is I1=10 in the first period and I2=12 in the second period. The consumer can borrow or save money at the interest rate of 50%, that is, r=0.50. The consumer’s utility function is u(q1,q2)= q1q2. The optimal choice of q1 is a. 9 b. 10 c. 11 And the consumer will: d. borrow 1 e. save 1 f. borrow 2 g, save 0
Consider the following intertemporal consumption problem with one good and two periods. The quantity of the good consumed in period 1 and period 2 are q1 and q2. The price of each unit of the good is $1 in both periods. The consumer’s income is I1=10 in the first period and I2=12 in the second period. The consumer can borrow or save money at the interest rate of 50%, that is, r=0.50. The consumer’s utility function is u(q1,q2)= q1q2. The optimal choice of q1 is a. 9 b. 10 c. 11 And the consumer will: d. borrow 1 e. save 1 f. borrow 2 g, save 0
Chapter8: The Keynesian Model
Section: Chapter Questions
Problem 19SQ
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Consider the following intertemporal consumption problem with one good and two periods. The quantity of the good consumed in period 1 and period 2 are q1 and q2. The price of each unit of the good is $1 in both periods. The consumer’s income is I1=10 in the first period and I2=12 in the second period. The consumer can borrow or save money at the interest rate of 50%, that is, r=0.50. The consumer’s utility function is u(q1,q2)= q1q2.
The optimal choice of q1 is
a. 9
b. 10
c. 11
And the consumer will:
d. borrow 1
e. save 1
f. borrow 2
g, save 0
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