FarmFresh Foods Manufactures a Snack Mix Called TrailTime by Blending

question 31

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. $$\begin{array} { l r c c c } \text { Ingredient } & \text { Cost } & \text { Volume } & \text { Fat Grams } & \text { Calories } \\\hline \text { Dried Fruit } & .35 & 1 / 4 \mathrm { cup } & 0 & 150 \\\text { Nut Mix } & .50 & 3 / 8 \mathrm { cup } & 10 & 400 \\\text { Cereal Mix } & .20 & 1 \mathrm { cup } & 1 & 50\end{array}$$ 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:

New-to-the-world Products

Innovations that create an entirely new market by being the first of their kind.

Late Majority

The last group of buyers to enter a new product market; when they do, the product has achieved its full market potential.

Early Adopters

The second group of consumers in the diffusion of innovation model, after innovators, to use a product or service innovation; generally don’t like to take as much risk as innovators but instead wait and purchase the product after careful review.

Fashion Trends

The direction in which fashion is moving, with changes in consumer preferences leading to the popularity of certain styles, fabrics, or themes in a given season or period.