Question: Subject code: Business Modeling / Management science NOTE: do not use EXCELL b) The Whole Food Nutrition Centre uses two bulk grains, A and B

Subject code: Business Modeling / Management science NOTE: do not use EXCELL

Subject code: Business Modeling / Management

b) The Whole Food Nutrition Centre uses two bulk grains, A and B to blend a natural cereal. Each kilogram of the cereal mix must have the minimum required amounts of protein, riboflavin, and phosphorus. For X1 kilogram of bulk grain A and X2 kilogram of bulk grain B, the manager has formulated a linear programing model with the objective of minimizing the total cost as below: (i) Graphically illustrate the feasible region for the problem. (5 marks) (ii) Is the feasible region bounded or unbounded? (2 marks) (iii) What is the optimal mix of bulk grains A and B? (4 marks) (iv) What is the minimal cost for this problem? (2 marks)

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