Suppose that Sally’s preferences over baskets containing food (good x), and clothing (good y), are described by the utility function U(x,y)=√x+y
Sally’s corresponding marginal utilities are,
Ux=$1\over2√x$ and Uy=$1$
Use Px to represent the price of food, Py to represent the price of clothing, and I to represent Sally’s income.
Question 1: Find Sally's food demand function, and Sally's clothing demand function. For the purposes of this question you should assume that I/Py greater than or equal Py/4Px.
Even by using the I=Py(y)+Px(x) formula, I tried using $MUx\over MUy$=$Px\over Py$ and letting one of the price be 1. But I am unable to substitute into the income function as I could find y value.