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9 March, 12:19

Let the price be $1 and the price of be $0.50. original income is $5. originally buys 3 units of and 4 units of and uses up all of her income. At these levels the marginal utility of for her is 4 and marginal utility of for her is 2. Is she at an optimal solution?

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  1. 9 March, 13:47
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    Let the price OF X be $1 and the price of Y be $0.50. original income is $5. originally buys 3 units of X and 4 units of Y and uses up all of her income. At these levels the marginal utility of X for her is 4 and marginal utility of Y for her is 2. Is she at an optimal solution?

    YES

    Explanation:

    marginal utility is the utility obtained by the consumption of the last unit of a product.

    in this case, by spending $1 in product X, the marginal utility = 4, and by spending $0.50 in product Y, the marginal utility = 2

    each marginal util costs $0.25 for either product:

    product X: $1 / 4 = $0.25 per util product Y: $0.50 / 2 = $0.25 per util

    Since her marginal utility for both products is equal, we can assume she is at an optimal solution.
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