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 ofeach delicacy, as well as the total amount of each ingredient available.NuttiestGranola AvailableTotalGranola Nutty GranolaToasted Oats11.51,400(ounces)Almonds48813,000(ounces)Raisins483,000(ounces)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?granolaserving(s)nutty granolaserving(s)nuttiest granolaserving(s)How much of each ingredient will be left over?toasted oatsounce(s)almonds| ounce(s)raisinsounce(s)

Formulate the LP problem and find the optimal solution using simplex method.

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. Nuttiest Total Granola Nutty Granola Granola Available Toasted Oats 1 1 5 1.400 (ounces) Almonds 4 8 13,000 (ounces) Raisins 2 3,000 (ounces) The society makes a profit of s6 on each serving of granola, $8 on each serving 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. Nuttiest Total Granola Nutty Granola Granola Available Toasted Oats 1 1 5 1.400 (ounces) Almonds 4 8 13,000 (ounces) Raisins 2 3,000 (ounces) The society makes a profit of s6 on each serving of granola, $8 on each serving 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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Question

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.
Nuttiest
Granola Available
Total
Granola Nutty Granola
Toasted Oats
1
1.
5
1,400
(ounces)
Almonds
4
8
8
13,000
(ounces)
Raisins
4
8
3,000
(ounces)
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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