15. Fred Frederickson manages a family-owned farm. To supplement several food pr

Question

15. Fred Frederickson manages a family-owned farm. To supplement several food products grown on the farm, Fred also raises pigs for market. He now wishes to determine the quantities of the available types of feed (corn, tankage, and alfalfa) that should be given to each pig. Since pigs will eat any mix of these feed types, the objective is to determine which mix will meet certain nutritional requirements at a minimum cost. The number of units of each type of basic nutritional ingredient contained within a kilogram of each feed type is given in the following table, along with the daily nutritional requirements and feed costs: Nutritional Ingredient Carbohvdrates Protein Vitamins Cost (cents/kg) Kilogram of Corn 90 30 10 84 Kilogram of Kilogram of Minimum Daily Alfalfa 40 60 60 60 Tanka 20 80 20 72 Requirements 200 180 150 (1 point) In words, what is the goal of the problem? a. b. (2 points) In words, what questions must be answered/what are the decisions that must be made? c. 6 points) In words, what are the constraints? List all of them explicitly for full credit! Question continued on next page)

Explanation / Answer

b) Decision Variables

Let no of Kilogram corn is needed= x Kg

Let no of Kilogram Tankage is needed= y Kg

Let no of Kilogram Alfalfa is needed= z Kg

a) Goal of this problem = Minimize (84*x + 72*y + 60*z)

c) Constraints

Carbohydrates: 90*x + 20*y + 40*z >=200

Protein: 30*x + 80*y + 60*z >=180

Vitamins: 10*x + 20*y + 60*z >=150

x,y,z>=0

Related Questions

Navigate

• Browse (All)
• Browse 1
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.