ollowing linear program. Max 1A - 28 s.t. -4A + 3B 3 1A - 1B s 4 A, B 20 Graph the feasible region for the problem.

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A webassign.net
Consider the following linear program.
Max
1A - 28
s.t.
-4A + 3B S 3
1A - 18 s 4
A, B 2 0
(a) Graph the feasible region for the problem.
B
15
15
10
10
A
2
4
6 8
4 6 8
10
12
14
2
10
12
14
B
B
15
15
10
10
5
5
A
A
4
6
10 12
14
2
/4
6.
8.
10
12
14
(b) Is the feasible region unbounded? Explain.
O The feasible region is unbounded because the value of the solution may be made infinitely large without violating any of the
constraints.
O The feasible region is unbounded because more than one optimal solution occurs without violating any of the constraints.
O The feasible region is unbounded because the solution coordinates may be made infinitely large without violating any of the
constraints.
O The feasible region is unbounded because the value of the solution violates at least one of the constraints.
O The feasible region is not unbounded.
(c) Find the optimal solution.
(А, B)
%3!
Transcribed Image Text:A webassign.net Consider the following linear program. Max 1A - 28 s.t. -4A + 3B S 3 1A - 18 s 4 A, B 2 0 (a) Graph the feasible region for the problem. B 15 15 10 10 A 2 4 6 8 4 6 8 10 12 14 2 10 12 14 B B 15 15 10 10 5 5 A A 4 6 10 12 14 2 /4 6. 8. 10 12 14 (b) Is the feasible region unbounded? Explain. O The feasible region is unbounded because the value of the solution may be made infinitely large without violating any of the constraints. O The feasible region is unbounded because more than one optimal solution occurs without violating any of the constraints. O The feasible region is unbounded because the solution coordinates may be made infinitely large without violating any of the constraints. O The feasible region is unbounded because the value of the solution violates at least one of the constraints. O The feasible region is not unbounded. (c) Find the optimal solution. (А, B) %3!
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