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In: Advanced Math

The Enormous State University Choral Society is planning its annual Song Festival, when it will serve...

The Enormous State University Choral Society is planning its annual Song Festival, when it will serve three kinds of delicacies: granola treats, nutty granola treats, and nuttiest granola treats. The following table shows some of the ingredients required for a single serving of each delicacy, as well as the total amount of each ingredient available.

Granola Nutty Granola Nuttiest
Granola
Total
Available
Toasted Oats
(ounces)
1 1 5 1,400
Almonds
(ounces)
4 8 8 12,000
Raisins
(ounces)
2 4 8 3,000

The society makes a profit of $6 on each serving of granola, $8 on each serving of nutty granola, and $3 on each serving of nuttiest granola. Assuming that the Choral Society can sell all that it makes, how many servings of each will maximize profits?

granola serving (s)

nutty granola serving (s)

nuttiest granola serving (s)

How much of each ingredient will be leftover?

toasted oats ounce (s)

almonds ounce (s)

raisins ounce (s)

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