P 32x1 + 28x2 2x1 +X2 12 X1 +5x2 12 X1, X2 20 (A) Using slack variables, determine the initial system for the linear programming problem. (B) Write the simplex tableau and identify the first pivot and the entering and exiting variables. (C) Use the simplex method to solve the problem Maximize subject to < 2 U X1, X2, S1, S2 (B) Write the simplex tableau by filling in the blanks below. P X2 S1 S2 S1 2 1 1 12 S2 1 0 1 12 P 32 - 28 1 The pivot element is located in the x, column and s1 row. The entering variable is x1. The exiting variable is s, (C) Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. and X2 A. The maximum value is P = when X1 (Type integers or simplified fractions.) B. There is no optimal solution ? Click to select and enter your answer(s) and then click Check Answer. All parts showing Clear All Check Answer

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
P 32x1 + 28x2
2x1 +X2 12
X1 +5x2 12
X1, X2 20
(A) Using slack variables, determine the initial system for the linear programming problem.
(B) Write the simplex tableau and identify the first pivot and the entering and exiting variables.
(C) Use the simplex method to solve the problem
Maximize
subject to
<
2 U
X1, X2, S1, S2
(B) Write the simplex tableau by filling in the blanks below.
P
X2
S1
S2
S1
2
1
1
12
S2
1
0
1
12
P
32
- 28
1
The pivot element is located in the x, column and s1
row.
The entering variable is x1. The exiting variable is s,
(C) Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
and X2
A. The maximum value is P =
when X1
(Type integers or simplified fractions.)
B. There is no optimal solution
?
Click to select and enter your answer(s) and then click Check Answer.
All parts showing
Clear All
Check Answer
Transcribed Image Text:P 32x1 + 28x2 2x1 +X2 12 X1 +5x2 12 X1, X2 20 (A) Using slack variables, determine the initial system for the linear programming problem. (B) Write the simplex tableau and identify the first pivot and the entering and exiting variables. (C) Use the simplex method to solve the problem Maximize subject to < 2 U X1, X2, S1, S2 (B) Write the simplex tableau by filling in the blanks below. P X2 S1 S2 S1 2 1 1 12 S2 1 0 1 12 P 32 - 28 1 The pivot element is located in the x, column and s1 row. The entering variable is x1. The exiting variable is s, (C) Use the simplex method to solve the problem. Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. and X2 A. The maximum value is P = when X1 (Type integers or simplified fractions.) B. There is no optimal solution ? Click to select and enter your answer(s) and then click Check Answer. All parts showing Clear All Check Answer
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