Analytical. Required to be written by hand.

A consumer with utility function Mm, y) = 332/5311\" has an income of $26 and the price of good 3 is $3 and the price of good y is $2.50. Assume that he has to consume all of his income. (a) Write down the utility maximization problem subject to his budget constraint. (b) Write down the First order conditions for the maximization problem. (c) Determine the solution to this maximization