Optimal Production

question 30

Essay

Optimal Production. Canine Products, Inc., produces and markets a new moist and chewy nugget dog food called "Chow Hound" being test marketed in the San Diego market. This product is similar to several others offered by Canine Products, and can be produced with currently available equipment and personnel using any of three alternative product methods. Method A requires 6 hours of labor and 1 processing facility hour to produce 100 bags of dog food, Q_A. Method B requires 3 labor and 3 processing facility hours per Q_B. Method C requires 2 labor hours and 4 processing facility hours per unit of Q_C. Because of slack demand for other products CP currently has 15 labor hours and 5 processing facility hours available per week for producing Chow Hound.
A. Using the equality form of the constraint conditions, set up and interpret the linear program Canine Products would use to maximize production of Chow Hound given currently available resources.
B. Calculate and interpret all solution values.

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Definitions:

Prevailing Easterly Winds

Winds that typically blow from the east, common in tropical regions close to the equator due to the Earth's rotation and atmospheric conditions.

Upwellings

The rising of deep, cold, and nutrient-rich water to the surface, fostering significant biological productivity.

Thunderhead

A large, towering cumulonimbus cloud associated with thunderstorms and severe weather conditions.

Cold Front

A leading edge of a cooler mass of air, replacing (at ground level) a warmer mass of air, which can lead to dramatic changes in weather conditions.