Elle is very fond of cashews. Her goal is to consume as many cashews as possible. Cashews come in small and large bags. There are $6$ oz $($qS $)$ in a small bag and $18$ oz $($q L$)$in a large.

a$.$ Draw Elle$’$s budget line when her budget for cashews is $$56$ and the price of a large bag is $($p L$)$ is $$7$ and the price of a small bag $($pS $)$ is $$2.$ Measure q S on the horizontal axis and q L on the vertical.

b$.$ How many small bags and how many large bags does Elle buy when m$=56,$ p L $=7,$ and pS $=2?$

c$.$ Draw a picture of her indifference curve through her utility maximizing bundle.

d$.$ Give an example of a utility function that we can use to describe Elle$’$s preferences