A consumer has the utility function U = 4x^0.5 y^0.25 where x and y are two goods. If the consumer has an income I = 50 and the price of x and y are px = $2.5 and py = $4, find the amount of x and y the consumer would choose to maximize her utility subject to her budget constraintpx x + py y = I .

2. A consumer has the utility function U = 4x05 y025 where x and y are two goods. If the consumer has an income I = 50 and the price of x and y are px = $2.5 and py = $4, find the amount of x and y the consumer would choose to maximize her utility subject to her budget constraint Pxx + p, y = 1