Suppose that a consumer $is$ choosing between one$-$gallon jugs $of$ milk and half$-$gallon

jugs $of$ milk. She only cares about how much milk she consumes. Let $G$ denote the

number $of$ one$-$gallon jugs consumed, and let $H$ denote the number $of$ half$-$gallon jugs

consumed.

$a$$$3,$ the price $of$ a one$-$gallon jug $of$

milk $is$ $$5,$ and the consumer has $$10to$ spend $on$ milk. Solve for the consumer's optimal

bundle. Hint: when $do$ the half$-$gallon jugs $(vs.$ the one$-$gallon jugs$)$ provide better

value for money?

$cGon$ the horizontal axis and $Hon$

the vertical axis; label the horizontal and vertical intercepts. What $is$ the marginal rate $of$

substitution $(MRS)ofG$ for $H$ for this consumer, and what does that mean economically?