Max 1A + 2B s.t. 1A S 4 1B S 3 2A + 2B = 10 A, B20 (a) Show the feasible region.

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Consider the following linear program.
Max 1A + 28
s.t.
3 4
< 3
1A
1B
2A + 2B = 10
А, В 2 0
(a) Show the feasible region.
B
10
10
8
6.
6
4
2
2
4
6
8
10
2
8
10
B
B
10
10
8
8
6
6
2
2
4
6
8
10
2.
6.
8
10
(b) What are the extreme points of the feasible region?
smaller x-value
(A, B) =
larger x-value
(A, B) =
(c) Find the optimal solution using the graphical procedure.
(A, B) =
Transcribed Image Text:Consider the following linear program. Max 1A + 28 s.t. 3 4 < 3 1A 1B 2A + 2B = 10 А, В 2 0 (a) Show the feasible region. B 10 10 8 6. 6 4 2 2 4 6 8 10 2 8 10 B B 10 10 8 8 6 6 2 2 4 6 8 10 2. 6. 8 10 (b) What are the extreme points of the feasible region? smaller x-value (A, B) = larger x-value (A, B) = (c) Find the optimal solution using the graphical procedure. (A, B) =
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