Question: Application exercise. Suppose that the total utility that a consumer obtains from the consumption of two goods, x1 and x2, is given by the function U = f(x1, x2) = (x1)½ + (x2)½.Also suppose that the consumer's budget constraint is 3x1+2x2 ≤ 30. Find the quantities of the two goods that maximize the consumer's utility function subject to the budget constraint using the trial-and-error method.