A Food Processing Company Makes Meatloaf to Be Sold in the Frozen

question 31

Essay

A food processing company makes meatloaf to be sold in the frozen food section of supermarkets. Each week the recipe used changes based on the current cost of ingredients. Ingredients and current costs are as shown below:
$$\begin{array} { l c } \text { Inpredient } & \text { Costpound } \\\hline \text { pork } & \$ 2.87 \\\text { hamburger } & \$ 1.63 \\\text { wheat filler } & \$ 0.22 \\\text { corn filler } & \$ 0.16\end{array}$$ F
or each batch made, at least 300 pounds of pork and 100 pounds of hamburger are required. No more than 200 pounds of wheat filler can be used per batch and the amount of corn filler has to range between 50 and 150 pounds. Moreover, each batch must contain at least 500 pounds of meat and no more than 200 pounds of filler.
a. What is the objective function if the company seeks to minimize costs?
b. If Xl is the amount of pork used, what are the constraints associated with it?
c. If X3 is the amount of wheat filler used, what are the constraints associated with it?

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Definitions:

Night's Sleep

The period of rest during night time where the body and mind undergo restorative processes.

REM Sleep

A stage of sleep characterized by rapid eye movement, during which most vivid dreaming occurs, and is considered important for learning and memory processes.

Electroencephalograph

An instrument used to record the electrical activity of the brain.

Beta Waves

Beta waves are a pattern of brain electrical activity signifying an awake, alert, and focused state often associated with active concentration and thinking.