FarmFresh Foods Manufactures a Snack Mix Called TrailTime by Blending

question 7

Essay

FarmFresh Foods manufactures a snack mix called TrailTime by blending three ingredients: a dried fruit mixture, a nut mixture, and a cereal mixture. Information about the three ingredients (per ounce) is shown below. $$\begin{array} { l c c c c } \text { Ingredient } & \text { Cost } & \text { Volume } & \text { Fat Grams } & \text { Calories } \\\hline \text { Dried Fruit } & .35 & 1 / 4 \mathrm { cup } & 0 & 150 \\\text { Nut Mix } & .50 & 3 / 8 \mathrm { cup } & 10 & 400 \\\text { Cereal Mix } & .20 & 1 \mathrm { cup } & 1 & 50\end{array}$$ The company needs to develop a linear programming model whose solution would tell them how many ounces of each mix to put into the TrailTime blend. TrailTime is packaged in boxes that will hold between three and four cups. The blend should contain no more than 1000 calories and no more than 25 grams of fat. Dried fruit must be at least 20% of the volume of the mixture, and nuts must be no more than 15% of the weight of the mixture. Develop a model that meets these restrictions and minimizes the cost of the blend.

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Definitions:

Talcott Parsons

An American sociologist known for developing several theories on society, social action, and systems, most notably his action theory and system theory.

Karl Marx

A German philosopher, economist, and revolutionary socialist known for his critique of capitalism and contribution to the development of Marxist theory.

Max Weber

Max Weber was a German sociologist, philosopher, and political economist, whose ideas influenced social theory, social research, and the discipline of sociology itself.

Power Elite

A small group of people who hold disproportionate amounts of power in society, often through wealth, political influence, or military control.