Question

A cereal manufacturer makes granola clusters, corn flakes, and sweetened raisins, which it mixes then sells as different brands.
• Large boxes of Multi-Mix cereal contain 50 grams of granola clusters, 15 grams of corn flakes, and 15 grams of raisins.
• Small boxes Multi-Mix cereal contain 20 grams of granola, 10 grams of corn flakes, and 10 grams of raisins.
• Large boxes of Granola Crunch contain 50 grams of granola clusters and 20 grams of corn flakes.
• Small boxes of Granola Crunch contains 30 grams of granola clusters and 10 grams of corn flakes.
The profit information for each box of cereal is as follows:
• Large Box of Multi-Mix : 3 cents
• Small Box Multi-Mix cereal: 2 cents
• Large Box of Granola Crunch: 2.5 cents
• Small Box of Granola Crunch: 1.5 cents
If the manufacturer has 1500 grams of granola clusters, 900 grams of Corn Flakes, and 500 grams of raisins, how many boxes of each type of cereal should be prepared to yield maximum profit?

Answer 1

6. Define the variables used to solve this optimization problem.
7. Define the Objective function used to solve this optimization problem
8. Define the Constraint Inequalities used to solve this optimization problem.
9. How many boxes of each type of cereal should be prepared?
10. What is the maximum profit?

Answer 2

these go with the question above.