Suppose that the marginal rate of substitution is 2, the price of X is $3, and the

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Suppose that the marginal rate of substitution is 2, the price of X is $3, and the price of Y is $1.
a. If the consumer obtains 1 more unit of X, how many units of Y must be given up in order to keep utility constant?
b. If the consumer obtains 1 more unit of Y, how many units of X must be given up in order to keep utility constant?
c. What is the rate at which the consumer is willing to substitute X for Y?
d. What is the rate at which the consumer is able to substitute X for Y?
e. Is the consumer making the utility-maximizing choice? Why or why not? If not, what should the consumer do? Explain.

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