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

question 35

Essay

Phil Bert's Nuthouse is preparing a new product, a blend of mixed nuts. The product must be at most 40% peanuts, must have more almonds than cashews, and must be at least 15% pecans. The blend will be sold in half-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 $5 per pound. Almonds cost $3 per pound, and pecans cost $6 per pound. Formulate this problem as a linear program.

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Definitions:

Military Might

The strength, capability, and effectiveness of a country's armed forces, encompassing not just numbers of personnel and equipment, but also strategic expertise and overall readiness.

Saddam Hussein

The fifth President of Iraq from 1979 until 2003, known for his brutal regime, involvement in regional wars, and eventual ousting and execution by a U.S.-led coalition.

Toppling

The act of causing a government, statue, or institution to fall or be removed from power, typically in a sudden or forceful manner; synonymous with "Overthrow."

September 11

A significant date marking the terrorist attacks in 2001 on the World Trade Center in New York and the Pentagon, leading to widespread global effects.