Suppose that a consumer buys only 2 goods X and Y. At thecurrent consumption bundle the marginal rate of substitution is 3the price of Good X is $4 and the price of Good Y is $2. a. Howmany units of Good Y is the consumer willing to give up to obtainon more unit of Good X? How many units of Good X is the consumerwilling to give up to obtain 1 more unit of Good Y? (Hint.Indifference Curve) b. How many units of Good Y is the consumerhave to give up to obtain on more unit of Good X? How many units ofGood X is the consumer have to give up to obtain 1 more unit ofGood Y? (hint:budget line) c. Is the consumer making an optimalchoice? Why or why not? d. If the consumer is a utility-maximizerwhat should the consumer do? Explain your reasoning.