Suppose an individual's utility function over consumption of X and Y is given by
U(x,y) =(x ? 10)^(1/3)y^(2/3)
where x and y are respective amounts of goods X and Y consumed. We interpret 10 as the minimum level of X such that the individual is alive
and well. Let px be the price of good X and py be the price of good Y. Assume the income of this individual is strictly larger than 10px
Derive the demand for good X and the demand for good Y as functions of the two prices and income.