Question

2s.23. Your boss has asked you to use your background in management science to determine what the levels of two activities (x, and x2) should be to minimize their total cost while satisfying some constraints. The algebraic form of the model is shown below. Minimize Cost = 15x, + 20x2 subject to Constraint 1: x+ 2x2 > 10 Constraint 2: 2xı – 3x2 = 6 Constraint 3: x1 + x2 > 6 and x=0 x220 Use the graphical method to solve this model.

Answer 1

The answer to problem 2s.23

In the given problem, the feasible solution is not possible.
Solution: Consil x, + 2x2 = 10 - .. when og -0,212=10. SO 12 10 -5 ---. x, lo 10 when Xa=0 x = 10 Const. 2 200, -30C, 6 --- ☺ when x=0, 200) - x2 = 6 :30 = -6 X2 = -6 = -2 When x=0, 2x - 300) = 6 . 206 = 6 :.x=6=3 Tocio 3 Const. 3 x + 0 = 6 - when a=0 x2=6 when x2 = 0,06 = 6

3 - (0.6) 6 (95) (3,0) (6.0) Coop) 10-2- 20