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Consider the following multiplicative demand function where QD = quantity demand

ID: 1090925 • Letter: C

Question

Consider the following multiplicative demand function where QD = quantity demanded, P = selling price, and I = disposable income:

QD = 1.6 P-1.5Y.2

QD = 1.6 P ^-1.5y.2
           
The coefficient of I indicates that (all other things being held constant):

for a one percent increase in disposable income, quantity demanded would increase by .2 percent, indicating that this good a necessity

for a one percent increase in disposable income, quantity demanded would
increase by .2 percent, indicating that this good is a luxury

for a one percent increase in disposable income, quantity demanded would
increase by .2 percent, indicating that this good is inferior

for a one percent increase in disposable income, quantity demanded would
increase by .2 percent, indicating that this good is inelastic

for a one percent increase in disposable income, quantity demanded would increase by .2 percent, indicating that this good a necessity

for a one percent increase in disposable income, quantity demanded would
increase by .2 percent, indicating that this good is a luxury

for a one percent increase in disposable income, quantity demanded would
increase by .2 percent, indicating that this good is inferior

for a one percent increase in disposable income, quantity demanded would
increase by .2 percent, indicating that this good is inelastic

please show how you come up with the answer , do not just guess !!!

Explanation / Answer

Consider the following multiplicative demand function where QD = quantity demanded, P = selling price, and I = disposable income:

QD = 1.6 P-1.5Y.2

QD = 1.6 P ^-1.5y.2
           
The coefficient of I indicates that (all other things being held constant):

for a one percent increase in disposable income, quantity demanded would increase by .2 percent, indicating that this good a necessity

for a one percent increase in disposable income, quantity demanded would increase by .2 percent, indicating that this good a necessity