Chapter 11, Problem 58RE

Mixed Nuts A store that specializes in selling nuts has available $72$ pounds (lb) of cashews and $120$ lb of peanuts. These are to be mixed in $12$-ounce (oz) packages as follows:

A lower-priced package containing $8$ oz of peanuts and $4$ oz of cashews, and a quality package containing $6$ oz of peanuts and $6$ oz of cashews.

Use $x$ to denote the number of lower-priced packages, and use $y$ to denote the number of quality packages. Write a system of linear inequalities that describes the possible numbers of each kind of package.

Graph the system and label the corner points.