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A consumer has a budget of M = $133 per month to spend on two goods,...

A consumer has a budget of M = $133 per month to spend on two goods, X and Y. The consumer’s utility derived from the purchase of these two goods is determined to be U (X, Y) = 3X2 + Y2 . If PX = 3, and PY = 2

a. What is the optimal bundle of goods that the consumer will purchase?

b. How much does the consumer spend on each good?

c. If the price of good Y increases to PY = 4, What is the new optimal bundle?

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