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.

GranolaNutty GranolaNuttiest

GranolaTotal

AvailableToasted Oats

(ounces)1151,500Almonds

(ounces)48812,000Raisins

(ounces)2484,000

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?

granolaserving(s)nutty granolaserving(s)nuttiest granolaserving(s)

How much of each ingredient will be left over?

toasted oatsounce(s)almondsounce(s)raisinsounce(s)