//this is a multiple research question show your working explaining the steps followed toward getting the right answers//

MATH 313: PRINGIPLES OF OPERATION'S RESEARCH GAT 31/03/21 al What is Operations Research? b) Differentiate between an optimal solution and a feasible solution Mark! a) A factory manufactures two products A and B on three machines X, y, and Z requires 10 hours of machine X and 5 hours of machine y. The requirement hours, 10 hours and 2 hours of machine X, y and Z respectively. The profit co products A and Bars Rs. 23/- per unit and Rs. 32 /- per unit respectively. I planning period the available capacity of machines X, y and Z ars 24 hours, 2 hours respectively. Find (1) What area of application of Linear Programming does this problem belo (ji) Formulate a Linear Programming Model for this problem Marks (iii) The optimal product mix using graphical method ( iv ) The optimal product mix using simplex method d) Gonsider the problem of involving four sales persons taking products to four di regions. Find the optimum sales approach using least cost method 18 Marks) Salesman Sales region 2 3 Supply 22 12 14 120 2 16 18 22 10 200 3 24 20 12 18 100 16 14 24 20 90 Demand 80 160 150 110