A health food company manufactures a healthy snack mix called 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.

Ingredient	Cost	Volume	Fat Grams	Calories
Dried Fruit	.35	1/4 cup	0	150
Nut Mix	.50	3/8 cup	10	400
Cereal Mix	.20	1 cup	1	50

The company needs to develop a linear programming model whose solution would tell them how many ounces of each mix to put into the snack mix blend. The mix 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 and solve a model that meets these restrictions and minimizes the cost of the blend. Also present the details of the analysis including:

Optimum Solution

Shadow Prices

Range of Objective coefficient

Right hand side Ranges Of Constraints