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 NuttiestGranola TotalAvailable 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 left over? toasted oats ounce(s) almonds ounce(s) raisins ounce(s)
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 NuttiestGranola TotalAvailable 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 left over? toasted oats ounce(s) almonds ounce(s) raisins ounce(s)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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 left over?
toasted oats ounce(s)
almonds ounce(s)
raisins ounce(s)
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