Phil Bert's Nuthouse Is Preparing a New Product, a Blend

question 51

Essay

Phil Bert's Nuthouse is preparing a new product, a blend of mixed nuts. The product must be at most 50 percent peanuts, must have more almonds than cashews, and must be at least 10 percent pecans. The blend will be sold in one-pound bags. Phil's goal is to mix the nuts in such a manner that all conditions are satisfied and the cost per bag is minimized. Peanuts cost $1 per pound. Cashews cost $3 per pound. Almonds cost $5 per pound and pecans cost $6 per pound. Identify the decision variables of this problem. Write out the objective and the set of constraints for the problem. Do not solve.

---

Definitions:

Visceral Peritoneum

The inner layer of the peritoneum that envelopes abdominal organs, providing a protective covering and supporting their functions.

Serous Membrane

Thin sheet composed of epithelial and connective tissues; it lines cavities that do not open to the outside of the body or contain glands but do secrete serous fluid.

Salivary Amylase

An enzyme found in saliva that initiates the breakdown of starches into simpler sugars during digestion.

Salivary Glands

Exocrine glands in the mouth that produce saliva, aiding in digestion and helping maintain oral health.