
Concept explainers
Mixed Nuts Nola’s Nuts, a store that specializes in selling nuts, has available 90 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.
a. Using to denote the number of lower-priced packages, and use to denote the number of quality packages. Write a system of linear inequalities that describes the possible numbers of each kind of package.
b. Graph the system and label the corner points.

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