The Best Affordable Bundle

Two prices meet

The same condition in utility language

Working a small table

What the optimum predicts

At the current bundle a consumer's MRS of muffins for coffee is 3, muffins cost 2 dollars, and coffees cost 3 dollars. Is she at an optimum, and if not, what should she do?

A consumer spends all income on notebooks and energy bars. Notebooks cost 4 dollars with marginal utility 28, and bars cost 2 dollars with marginal utility 10. Is the allocation optimal, and what adjustment is called for?

A consumer buys only mangoes at 2 dollars each and yogurt cups at 3 dollars each. Her marginal utility from mangoes is currently 16 and from yogurt cups is 30. Compute the mango's marginal utility per dollar and write the number.

At the current bundle the marginal utility of comics is 12 with a price of 4 dollars, and the marginal utility of albums is 16 with a price of 8 dollars. What should the consumer do?

A consumer finds that even her first mango yields less marginal utility per dollar than her last yogurt cup, at every conceivable bundle. What does her best affordable bundle look like?

Notebooks cost 4 dollars and deliver marginal utility of 28 at the current bundle. Compute the marginal utility per dollar of notebooks, and write the number.