1. Joseph's utility is given by: U=X² + y² (Note that this is the equation of a circle with the center at the origin). The marginal utilities are MUX-2X and MUy=2Y. Assume that Px=10, Py=20 and m=200. Find the optimal amounts of X and Y. Show your answer on a graph.

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A: Hey, since there are multiple subparts  posted, we will answer the first three subpart question.

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