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?

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?

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:

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

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