Question

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)

Solutions

Expert Solution


Related Solutions

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 1,300 Almonds (ounces) 4 8 8 11,000 Raisins (ounces) 2 4 8...
Billy-Sean O'Hagan has joined the Physics Society at Suburban State University, and the group is planning...
Billy-Sean O'Hagan has joined the Physics Society at Suburban State University, and the group is planning to raise money to support the dying space program by making and selling umbrellas. The society intends to make three models: the Sprinkle, the Storm, and the Hurricane. The amounts of cloth, metal, and wood used in making each model are given in this table. Sprinkle Storm Hurricane Total Available Cloth (square yards) 1 2 2 500 Metal (pounds) 2 1 3 500 Wood...
[[[Physics]]] --------------------------------------------------------------------------------------------------------------------------------------------------------- The football team at Enormous State University (ESU) uses vector displacements to reco
[[[Physics]]] --------------------------------------------------------------------------------------------------------------------------------------------------------- The football team at Enormous State University (ESU) uses vector displacements to record its plays, with the origin taken to be the position of the ball before the play starts. In a certain pass play, the receiver starts at +1.0i^−5.0j^+1.0i^−5.0j^, where the units are yards, i^i^ is to the right, and j^j^ is downfield. Subsequent displacements of the receiver are +9.0i^+9.0i^ (he is in motion before the snap), +11.0j^+11.0j^ (breaks downfield), −6.0i^+4.0j^−6.0i^+4.0j^ (zigs), and +12.0i^+18.0j^+12.0i^+18.0j^ (zags). Meanwhile, the...
The Enormous State University Public Relations Department has issued a statement claiming that 80% of those...
The Enormous State University Public Relations Department has issued a statement claiming that 80% of those who enroll at ESU graduate within 6 years. Being naturally skeptical, you decide to test their claim. You interview 500 randomly selected people from the population that enrolled at ESU just over 6 years ago. Of those 500, 360 have graduated. a. What is the variable you are analyzing here? Of what sort is it? Who/what are the subjects? b. What statistic can you...
1. The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern History—and the chairperson...
1. The Enormous State University History Department offers three courses—Ancient, Medieval, and Modern History—and the chairperson is trying to decide how many sections of each to offer this semester. The department is allowed to offer 45 sections total, there are 5,200 students who would like to take a course, and there are 61 professors to teach them. Sections of Ancient History have 100 students each, sections of Medieval History hold 50 students each, and sections of Modern History have 200...
The employee credit union at State University is planning the allocation of funds for the coming...
The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows: Type of Loan/Investment Annual Rate of Return (%) Automobile loans 9 Furniture loans 11 Other secured loans 12 Signature loans 13 Risk-free securities 10 The credit union...
The employee credit union at State University is planning the allocation of funds for the coming...
The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows: Type of Loan/Investment Annual Rate of Return (%) Automobile loans 9 Furniture loans 11 Other secured loans 12 Signature loans 13 Risk-free securities 10 The credit union...
The employee credit union at State University is planning the allocation of funds for the coming...
The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows: Type of Loan/Investment Annual Rate of Return (%) Automobile loans 8 Furniture loans 10 Other secured loans 11 Signature loans 12 Risk-free securities 9 The credit union...
The employee credit union at State University is planning the allocation of funds for the coming...
The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows: Type of Loan/Investment Annual Rate of Return (%) Automobile loans 8 Furniture loans 10 Other secured loans 11 Signature loans 12 Risk-free securities 9 The credit union...
The employee credit union at State University is planning the allocation of funds for the coming...
The employee credit union at State University is planning the allocation of funds for the coming year. The credit union makes four types of loans to its members. In addition, the credit union invests in risk-free securities to stabilize income. The various revenue-producing investments together with annual rates of return are as follows: Type of Loan/Investment Annual Rate of Return (%) Automobile loans 8 Furniture loans 10 Other secured loans 11 Signature loans 12 Risk-free securities 9 The credit union...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT