Problem
A snack company packages and sells three different 1-pound canned party mixes: Plain Nuts, Mixed Nuts, and Premium Mix. Plain Nuts sell for $2.25 per can, Mixed Nuts sell for $3.37, and Premium Nuts sell for $6.49 per can. A can of Plain Nuts contains 0.8 pound of peanuts and 0.2 pound of cashews. A can of Mixed Nuts consists of 0.5 pound of peanuts, 0.3 pound of cashews, 0.1 pound of almonds, and 0.1 pound of walnuts. A can of Premium Nuts is made up of 0.3 pound of cashews, 0.4 pound of almonds, and 0.4 pound of walnuts. The company has on hand 500 pounds of peanuts, 225 pounds of cashews, 100 pounds of almonds, and 80 pounds of walnuts. Past demand indicates that customers purchase at least twice as many cans of Plain Nuts as Premium Nuts. What production plan will maximize the total revenue?