Consider the following all-integer linear program. Max     1x1  +  1x2 s.t.   4x1  +  6x2 ≤  30   1x1  +  7x2 ≤  21   2x1  +  1x2 ≤  13 x1, x2 ≥ 0 and integer

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter8: Linear Functions
Section8.9: Graphs Of Linear Inequalities
Problem 1C
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Consider the following all-integer linear program.
Max     1x1  +  1x2
s.t.
  4x1  +  6x2 ≤  30
  1x1  +  7x2 ≤  21
  2x1  +  1x2 ≤  13
x1, x2 ≥ 0 and integer
(a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions.
X2
X2
X2
8
8
8
6
6
41
4
2
X1
X1
2
4
6.
8
4
6
8
2
4
6
8
X2
8
6
X1
2
4
8
Transcribed Image Text:(a) Graph the constraints for this problem. Use dots to indicate all feasible integer solutions. X2 X2 X2 8 8 8 6 6 41 4 2 X1 X1 2 4 6. 8 4 6 8 2 4 6 8 X2 8 6 X1 2 4 8
(b) Solve the LP Relaxation of this problem.
at (x1, X2) =
(c) Find the optimal integer solution.
at (x1, x2) =
Transcribed Image Text:(b) Solve the LP Relaxation of this problem. at (x1, X2) = (c) Find the optimal integer solution. at (x1, x2) =
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