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

question 60

Essay

Phil Bert's Nuthouse is preparing a new product, a blend of mixed nuts. The product must be at most 50% peanuts, must have more almonds than cashews, and must be at least 10% 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:

Self-Perception Theory

The hypothesis that individuals determine their attitudes and preferences by interpreting the meaning of their own behavior.

Cognitive Dissonance

A psychological discomfort experienced when holding two or more conflicting cognitions (beliefs, attitudes, or values).

Observational Learning

A learning process through watching the actions of others, including their rewards and consequences, which can guide an individual's behaviors and decisions.

Cognitive Dissonance

A psychological phenomenon where an individual experiences discomfort due to holding conflicting beliefs, ideas, or values.