Maximize P = 3x1 + 5x= (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. (D) Find the optimal solution of the original problem, if it exists. subject to 2x, + X2 s 28 X1 + X2 = 21 X1, X2 20 Maximize p= 3x, + 5x2 - Ma, subject to 2x, + X2 + s, = 28 X1 +X2 + a, =21 X1, X2, S1, a, 20 (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. X1 X2 S1 a1 P 2 1 1 28 1 1 21 - M-3 -M- 5 -21M (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. Select the correct choice below and fill in any answer boxes within your choice. O A. X1 = X2 = S1 = a, = P =

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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​(C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. Select the correct choice below and fill in any answer boxes within your choice.

X1 = ?  x2=?  S1 = ?  a1=?  P=?

​(D) Find the optimal solution of the original​ problem, if it exists. Select the correct choice below and fill in any answer boxes within your choice.

Max P=  ?  at x1 =?  X2 = ?

Maximize
P = 3x1 + 5x=
(A) Introduce slack, surplus, and artificial variables and form the modified problem.
(B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau.
(C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau.
(D) Find the optimal solution of the original problem, if it exists.
subject to 2x, + X2 s 28
X1 + X2 = 21
X1, X2 20
Maximize p= 3x, + 5x2 - Ma,
subject to
2x, + X2 + s, = 28
X1 +X2 + a, =21
X1, X2, S1, a, 20
(B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau.
X1
X2
S1
a1
P
2
1
1
28
1
1
21
- M-3
-M- 5
-21M
(C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. Select the correct choice below and fill in any answer boxes within your choice.
O A. X1 =
X2 =
S1 =
a, =
P =
Transcribed Image Text:Maximize P = 3x1 + 5x= (A) Introduce slack, surplus, and artificial variables and form the modified problem. (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. (D) Find the optimal solution of the original problem, if it exists. subject to 2x, + X2 s 28 X1 + X2 = 21 X1, X2 20 Maximize p= 3x, + 5x2 - Ma, subject to 2x, + X2 + s, = 28 X1 +X2 + a, =21 X1, X2, S1, a, 20 (B) Write the preliminary simplex tableau for the modified problem and find the initial simplex tableau. X1 X2 S1 a1 P 2 1 1 28 1 1 21 - M-3 -M- 5 -21M (C) Find the optimal solution of the modified problem by applying the simplex method to the initial simplex tableau. Select the correct choice below and fill in any answer boxes within your choice. O A. X1 = X2 = S1 = a, = P =
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