[Solution] Petfoods makes dog food using a blend of three ingredients: K9, ~K8, and K1. The company has a regular blend, an extra blend, and puppy delite.
Question: Petfoods makes dog food using a blend of three ingredients: \(\mathrm{K}9, \mathrm{~K}8\), and \(\mathrm{K}1\). The company has a regular blend, an extra blend, and puppy delite. The regular blend consists of one third of each ingredient; the extra blend is 50 percent \(\mathrm{K}9\) and 25 percent each of \(\mathrm{K}8\) and \(\mathrm{K}1\). The puppy delite is 10 percent \(\mathrm{K} 8\) and the rest \(\mathrm{K}1\). The dog food is produced in one pound cans. There are 1,500 pounds of $K9$ and 1,000 pounds of each of the other ingredients available. The regular blend yields a profit of $.20 per can, the extra blend yields $.18 per can, and the puppy delite a profit of $.25 per can. Formulate an LP model that can be used to determine the maximum profit combination of the different types of dog food.
Deliverable: Word Document 