[Step-by-Step] Two consumers each have an income of $300, with which they buy good X (costing $5) and good Y (costing $4). If A’s preferences are given by


Question: Two consumers each have an income of $300, with which they buy good X (costing $5) and good Y (costing $4). If A’s preferences are given by U A = X 2 Y and B’s preferences are given by U B = X(Y+100), what is the optimal amounts of X and Y each will purchase?

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