Maximizing the total satisfaction from pizza and coffee


Question:

The last cup of coffee I bought gave me a marginal utility of 10, bringing my total utility from all cups of coffee I have purchased to 200. The last pizza I bought gave me a marginal utility of 50, bringing my total utility from all pizzas purchased to 750 (I really like pizza!). The price of a cup of coffee is $2. The price of a pizza is $10. I have no more money to spend.

How might I have reallocated my spending so as to maximize my total satisfaction from pizza and coffee?

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Microeconomics: Maximizing the total satisfaction from pizza and coffee
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