11. Assume that an individual consumes three goods, X, Y, and Z. The marginal utility (assumed measurable) of each good is independent of the rate of consumption of other goods. The prices of X, Y, and Z are, respectively, $1, $3, and $5. The total income of the consumer is $65, and the marginal utility schedule is as follows: Units of good Marginal utility of X (units) Marginal utility of Y (units) Marginal utility of Z (units) 12 60 70 11 55 60 10 48 50 40 40 32 30 24 25 21 18 18 10 15 10 12 a. Given a $65 income. how much of each good should the consumer purchase to maximize utility