Answer to Question #103364 in Microeconomics for daniel

Question

A rational consumer spends all of her income on two goods: Apple and Banana. Suppose the last dollar spent on Apple increased her total utility from 60 utils to 68 utils and the last dollar spent on Banana increased her total utility from 25 utils to 29 utils. If the price of a unit of Apple is 2 Birr, what is the price of a unit of Banana at equilibrium?

Answer 1

The condition of optimal consumer's choice is

$MU(A)/MU(B)=P(A)/P(B)$

So, if price of banana is x, then

$(68-60)/(29-25)=2/x$

$8/4=2/x, => x=1$