Operations Research20805 marksNumerical: LPP formulationFormulation of linear programming problems
Food X contains 6 units of vitamin A and 7 units of vitamin B and costs Rs. 5 per gram. Food Y contains 8 units of vitamin A and 12 units of vitamin B and costs Rs. 18 per gram. The daily minimum requirement of vitamins A and B are respectively 100 units and 138 units respectively. Formulate the pro
Food X contains 6 units of vitamin A and 7 units of vitamin B and costs Rs. 5 per gram. Food Y contains 8 units of vitamin A and 12 units of vitamin B and costs Rs. 18 per gram. The daily minimum requirement of vitamins A and B are respectively 100 units and 138 units respectively. Formulate the problem as a LPP with the objective function minimizing the cost. [5]
Item Vitamin A (units/gram) Vitamin B (units/gram) Cost (Rs./gram) ------------------------------------------------------------------- Food X 6 7 5 Food Y 8 12 18 Minimum daily requirement 100 138 - Objective: minimize cost. Let: - $x$ = number of grams of Food X - $y$ = number of grams of Food Y...