TOP the optimal [3.46] Consider the following simplex tableau for a minimization problem (the constraints are of the ≤ type and x3, x4, and xs are the slacks). a. Z 1 b. 0 0 0 X1 0 1 0 0 x2 a -2 -3 0 Suppose that a < 0, b≤0, and c, d, e ≥ 0. Find B-1 X3 0 0 1 0 X4 b 1 -2 3 x5 0 0 0 1 RHS f C d Find B. C. Is the tableau optimal? d. Give the original tableau (in terms of the unknowns). e. Now, suppose that a > 0, b≤ 0; and c, d, e ≥ 0. Is the new tableau optimal? e From the tableau identify cB¹ and give its interpretation. -1 Give an extreme direction. h. Let a = 5 and f= -10. Give a feasible solution having z = -150. [3.47] The following is the rent simplex tableau of a lingo problem. The and . The a. b.

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the optimal
[3.46] Consider the following simplex tableau for a minimization problem (the
constraints are of the <type
X3, X4,
are the slacks).
Z
1
0
0
0
X1
0
1
0
0
and
x2
a
-2
-3
0
X3 x4
b
1
-2
3
30
0
1
0
and x5
Suppose that a <0, b ≤0, and c, d, e ≥ 0.
a. Find B-¹
b.
x5
0
0
0
1
RHS
Now, suppose that a > 0, b ≤ 0; and c, d, e ≥ 0.
f.
Is the new tableau optimal?
C
d
e
Find B.
C.
Is the tableau optimal?
d. Give the original tableau (in terms of the unknowns).
e.
-1
From the tableau identify cgB¹ and give its interpretation.
Give an extreme direction.
h. Let a = 5 and f= -10. Give a feasible solution having z = −150.
[3.47] The following is the current simplex tableau of a lingu
[3.49] The
problem. The
and The
a.
b.
Transcribed Image Text:the optimal [3.46] Consider the following simplex tableau for a minimization problem (the constraints are of the <type X3, X4, are the slacks). Z 1 0 0 0 X1 0 1 0 0 and x2 a -2 -3 0 X3 x4 b 1 -2 3 30 0 1 0 and x5 Suppose that a <0, b ≤0, and c, d, e ≥ 0. a. Find B-¹ b. x5 0 0 0 1 RHS Now, suppose that a > 0, b ≤ 0; and c, d, e ≥ 0. f. Is the new tableau optimal? C d e Find B. C. Is the tableau optimal? d. Give the original tableau (in terms of the unknowns). e. -1 From the tableau identify cgB¹ and give its interpretation. Give an extreme direction. h. Let a = 5 and f= -10. Give a feasible solution having z = −150. [3.47] The following is the current simplex tableau of a lingu [3.49] The problem. The and The a. b.
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