a) Nyamakima group of companies has a sponsored a weight loss programme for mothers aged 18-40...

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a) Nyamakima group of companies has a sponsored a weight loss programme for mothers aged 18-40 years who are obese. The programme nutritionist has set up minimum daily requirement for several kind of nutrients. Suppose, that only three kinds of the nutrients are considered: Potassium, Vitamin B and Vitamin C. Assume that an individual mother's diet is to consist of only two food items, I and II, whose price and nutrient contents are shown in the table below. Table 1: Price and Nutrients Contents of Food Food I (per Kg) Food II (per Price Ksh. 1.20 Kg) Ksh. 2.00 Minimum Daily Requirement Potassium 20 8 40 Vitamin B 10 10 40 Vitamin C 4 12 24 Using the data on the table. i) Formulate a nutrient minimization problem for the Nyamakima group weight loss programme. ii) Compute the optimal feasible solution for the problem. [8 Marks] [7 Marks] b) Discuss the concepts of robustness and opportuneness in info-gap decision model. [5 Marks] c) Differentiate between slackness and surplus in simplex method. a) Nyamakima group of companies has a sponsored a weight loss programme for mothers aged 18-40 years who are obese. The programme nutritionist has set up minimum daily requirement for several kind of nutrients. Suppose, that only three kinds of the nutrients are considered: Potassium, Vitamin B and Vitamin C. Assume that an individual mother's diet is to consist of only two food items, I and II, whose price and nutrient contents are shown in the table below. Table 1: Price and Nutrients Contents of Food Food I (per Kg) Food II (per Price Ksh. 1.20 Kg) Ksh. 2.00 Minimum Daily Requirement Potassium 20 8 40 Vitamin B 10 10 40 Vitamin C 4 12 24 Using the data on the table. i) Formulate a nutrient minimization problem for the Nyamakima group weight loss programme. ii) Compute the optimal feasible solution for the problem. [8 Marks] [7 Marks] b) Discuss the concepts of robustness and opportuneness in info-gap decision model. [5 Marks] c) Differentiate between slackness and surplus in simplex method.