A consumer has a utility function given by U(x, y) = 3x^(1/2) + 2y^(1/2), where x and y are the quantities of two goods that the consumer can consume. The consumer has an income of $100 and faces prices of Px = $9 per unit for good x and Py = $4 per unit for good y. Determine the consumer's optimal bundle of goods and their corresponding level of utility.