In Class
Herrick Foods Company wishes to introduce packaged trail mix as a new product. The ingredients for the trail mix are seeds, raisins, flakes, and two kinds of nuts. Each ingredient contains certain amounts of vitamins, minerals, protein and calories; the marketing department has specified the product be designed so that a certain minimum nutritional profile is met. The decision problem is to minimize the product cost and determine the product composition – that is, by the choosing the amount of each ingredient in the mix. The data shown below summarize the parameters of the problem.
Grams/Pound Nutritional Requirements SEEDS RAISINS FLAKES PECANS WALNUTS
Vitamins 10 20 10 30 20 16
Minerals 5 7 4 9 2 10
Protein 1 4 10 2 1 15
Calories 500 450 160 300 500 600
Cost/Pound($) 4 5 3 7 6
Locklear Communications operates a regional call center where the workday is broken down into six 4-hour shifts, and each operator works two consecutive shifts. The table below describes staff requirements on each shift:
Shift # 1 2 3 4 5 6
Time 2AM-6AM 6AM-10AM 10AM-2PM 2PM-6PM 6PM-10PM 10PM-2AM
Required 10 20 45 40 50 12
The call center’s manager wishes to assign operators to the six available starting times so that the
Grams/Pound Nutritional Requirements SEEDS RAISINS FLAKES PECANS WALNUTS
Vitamins 10 20 10 30 20 16
Minerals 5 7 4 9 2 10
Protein 1 4 10 2 1 15
Calories 500 450 160 300 500 600
Cost/Pound($) 4 5 3 7 6
Locklear Communications operates a regional call center where the workday is broken down into six 4-hour shifts, and each operator works two consecutive shifts. The table below describes staff requirements on each shift:
Shift # 1 2 3 4 5 6
Time 2AM-6AM 6AM-10AM 10AM-2PM 2PM-6PM 6PM-10PM 10PM-2AM
Required 10 20 45 40 50 12
The call center’s manager wishes to assign operators to the six available starting times so that the