Consider the following linear program.

Max 3A + 2B

s.t.

1A + 1B 10

3A + 1B 22

1A + 2B 18

A, B 0

(d) The sensitivity report for the linear program in part (a) provides the following objective coefficient range information.

Variable	Objective Coefficient	Allowable Increase	Allowable Decrease
A	3,000	3,000	1,000
B	2,000	1,000	1,000

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

The objective coefficient range for variable A is _______ to _______. Since the change in part (b) is within this range, we know the optimal solution will not change. The objective coefficient range for variable B is ______ to ______. Since the change in part (c) is outside this range we know the optimal solution will change.