Respond True or False to the following, and explain why each answer is True or False:
a. If two goods x and y are perfect complements, then if the price of x falls, the entire change in demand for x is due to the income effect.
b. A consumer has the utility function given by U=min{x1,2x2}. If good 2, has a price of zero, the consumer will always strictly prefer more of good 2 to less.
c. Ivan spends his entire income on two goods. One of them is a Giffen good. If the price of the Giffen good rises, demand for the other good must fall.
d. Jimmy's utility function is U(a,b) = ab, where a is his consumption of apples and b is his consumption of bananas. If prices and income change in such a way that Jimmy's old consumption bundle lies on his new budget line, then Jimmy will not change his consumption bundle.
Respond True or False to the following, and explain why each answer is True or False:
a. If two goods x and y are perfect complements, then if the price of x falls, the entire change in demand for x is due to the income effect.
b. A consumer has the utility function given by U=min{x1,2x2}. If good 2, has a price of zero, the consumer will always strictly prefer more of good 2 to less.
c. Ivan spends his entire income on two goods. One of them is a Giffen good. If the price of the Giffen good rises, demand for the other good must fall.
d. Jimmy's utility function is U(a,b) = ab, where a is his consumption of apples and b is his consumption of bananas. If prices and income change in such a way that Jimmy's old consumption bundle lies on his new budget line, then Jimmy will not change his consumption bundle.