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FarmFresh Foods Manufactures a Snack Mix Called TrailTime by Blending

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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.
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.    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. 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.


Definitions:

Rewarding

Providing positive reinforcement or incentives for a particular behavior, encouraging its recurrence.

Cohesive

Rephrased: Cohesion within a group indicates how well the members of the group stick together and support each other in pursuit of common objectives.

Liking Reciprocal

Reciprocal liking is the phenomenon where people tend to develop a preference for individuals who express liking for them, reinforcing mutual attraction and social bonding.

Opposite Qualities

Characteristics or attributes that are diametrically different from each other, often used to describe contrasting traits between entities or concepts.

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