Question: *Please include spreadsheets with formulas, if applicable* Multilever manufactures a snack mix called Trail-Mashup TM by blending three ingredients: a dried fruit mixture, a nut

*Please include spreadsheets with formulas, if applicable*

Multilever manufactures a snack mix called Trail-MashupTM 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 (cups per Ounce) Fat Grams Calories
Dried Fruit .35 .5 Cup 0 150
Nut Mix .50 .35 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 Trail-MashupTM blend. Trail-MashupTM must be packaged in boxes that are 3 cups in size. The blend should contain 1000 calories, and no more than 25 grams of fat. Nuts must be more than 35% of the mixture. Dried Fruit must be more than 25%, but less than 50% of the mixture. Cereal must be less than 70% of the mixture.

  1. Write a linear programming model in the space below that meets these restrictions and minimizes the cost of the blend.
  2. What is the optimal mix (round to 2 decimal places), and minimum cost, of the ingredients?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related General Management Questions!