Note: 1. Develop the complete model, clearly showing the decision variables, obj

Question

Note: 1. Develop the complete model, clearly showing the decision variables, objective function, and all constraints very clearly (assume the reader doesn't know much). Problem 1: Wendy loves steaks and potatoes. Therefore, she has decided to go on a steady diet of only these two foods (plus some liquid and vitamin supplements) for all of her meals. Wendy realizes that this isn't the healthiest diet, so she wants to make sure that she eats the right quantities of the two foods to satisfy some key nutritional requirements. She has obtained the following nutritional and cost information Grams of Ingredient per Serving Daily Requiremen t Steak Potatoes (grams) Ingredient Carbohydrates Protein Fat 15 20 15 4 2 40 S 60 Cost per Serving (S) 2 Wendy wishes to determine the number of daily servings (may be fractional) of steak and potatoes that will meet these requirements at a minimum cost. Develop a linear programming model that will be used to solve the problem.

Explanation / Answer

let the streaks be x

potatoes be y

objective function : to miminimise the cost

obective function :

min c=4x+2y

subjected to

5x+15y>=50( carbohydrates constraints)

20x+5y>=40(protein constraints)

15x+2y<=60(fat constraints)

x,y>=0

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