linear program

Project Description:

1. consider the following linear program:
max 3a + 2b
s.t.

1a + 1b _ 10
3a + 1b _ 24
1a + 2b _ 16
a, b _ 0
a. use the graphical solution procedure to find the optimal solution.
b. assume that the objective function coefficient for a changes from 3 to 5. does the optimal solution change? use the graphical solution procedure to find the new optimal solution.
c. assume that the objective function coefficient for a remains 3, but the objective function coefficient for b changes from 2 to 4. does the optimal solution change? use the graphical solution procedure to find the new optimal solution.
d. the computer solution for the linear program in part (a) provides the following objective coefficient range information:

objective allowable allowable
var. coefficient increase decrease
a 3.00000 3.00000 1.00000
b 2.00000 1.00000 1.00000

use this objective coefficient range information to answer parts (b) and (c).
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