Operations Research05 marksNumerical: LPP formulationFormulation of linear programming problems
The XYZ Company combines factors A and B to form a product which must weigh 50 pounds. At least 20 pounds of A and no more than 40 pounds of B can be used. The cost of A is Rs. 25 per pound and of B is Rs. 10 per pound. Formulate LPP to find the amount of factor A and B which should be used to minim
The XYZ Company combines factors A and B to form a product which must weigh 50 pounds. At least 20 pounds of A and no more than 40 pounds of B can be used. The cost of A is Rs. 25 per pound and of B is Rs. 10 per pound. Formulate LPP to find the amount of factor A and B which should be used to minimize the cost. [5]
Given data: - Product must weigh exactly = 50 pounds - Factor A: at least 20 pounds (minimum) $\Rightarrow A \geq 20$ - Factor B: no more than 40 pounds (maximum) $\Rightarrow B \leq 40$ - Cost of A = Rs. 25 per pound - Cost of B = Rs. 10 per pound - Objective: minimize total cost Let: - $x$ = po...