The Vita-X is a pharmaceutical company which produces nutritional supplements. Suppose they design two products which...

 

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The Vita-X is a pharmaceutical company which produces nutritional supplements. Suppose they design two products which must fulfil Food and Drug Administration (FDA) minimum nutrients requirement per day. One of the products is in tablet form whereas the other one is in liquid form. Table 2 show the FDA's minimum nutrients requirement per day, the nutrient requirement to produce each unit of product and the cost per unit. (a) (b) (c) Nutrients Product Vitamin B (m²) Vitamin C (m²) Cost per unit (RM) Table 2 Requirement per unit Tablet Liquid 10 15 2 8 5 3 Minimum requirement per day (mg) 18 20 As the tablet should be in integer whereas the liquid can be non-integer, formulate the Vita-X company production mix as mixed integer programming model with the objective to minimize the production cost. Solve the sub-optimal mix of the product graphically using the branch and bound algorithm. Suppose the cost per unit (RM) for the tablet needs to be increased from RM2.00 to RM3.00, will the sub-optimal solution change? Justify your answer. The Vita-X is a pharmaceutical company which produces nutritional supplements. Suppose they design two products which must fulfil Food and Drug Administration (FDA) minimum nutrients requirement per day. One of the products is in tablet form whereas the other one is in liquid form. Table 2 show the FDA's minimum nutrients requirement per day, the nutrient requirement to produce each unit of product and the cost per unit. (a) (b) (c) Nutrients Product Vitamin B (m²) Vitamin C (m²) Cost per unit (RM) Table 2 Requirement per unit Tablet Liquid 10 15 2 8 5 3 Minimum requirement per day (mg) 18 20 As the tablet should be in integer whereas the liquid can be non-integer, formulate the Vita-X company production mix as mixed integer programming model with the objective to minimize the production cost. Solve the sub-optimal mix of the product graphically using the branch and bound algorithm. Suppose the cost per unit (RM) for the tablet needs to be increased from RM2.00 to RM3.00, will the sub-optimal solution change? Justify your answer.