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.

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Definitions:

Psychiatrists

Medical doctors specialized in diagnosing, treating, and preventing mental illness and emotional disorders.

Medical School

An educational institution that provides training and education for students to become medical professionals such as doctors, nurses, or surgeons.

Managed Care

A healthcare delivery system organized to manage cost, utilization, and quality, often through contracts with selected healthcare providers and facilities.

Insurance Coverage

The extent to which health care services, medications, or treatments are financially supported by an insurance policy.