What are the quantities of commodity x and commodity y that, Operation Management

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What are the quantities of commodity x and commodity y that

Question

Consider a representative consumer with A budg et of $ 4 00 in world with two consumer goods X and Y.

The price of X is P x = $4
T he price of Y is P y = $6 .
The Consumer's marginal utility with respect to
i. X is 8 X and
ii. Y is 2Y

What are the quantities of commodity X and commodity Y that this consumer must purchase and consu me to maximize his/her utility?

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