Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 30, Problem 19A
To determine
Find the measurements of
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a) Suppose that we are carrying out the 1-phase simplex algorithm on a linear program in
standard inequality form (with 3 variables and 4 constraints) and suppose that we have
reached a point where we have obtained the following tableau. Apply one more pivot
operation, indicating the highlighted row and column and the row operations you carry
out. What can you conclude from your updated tableau?
x1
x2 x3
81 82
83
84
81
-2 0
1 1 0
0
0
3
82
3 0
-2 0
1
2
0
6
12
1
1
-3
0
0
1
0
2
84
-3 0
2
0
0 -1
1
4
-2 -2 0
11
0
0-4
0
-8
b) Solve the following linear program using the 2-phase simplex algorithm. You should give
the initial tableau, and each further tableau produced during the execution of the
algorithm. If the program has an optimal solution, give this solution and state its
objective value. If it does not have an optimal solution, say why.
maximize ₁ - 2x2+x34x4
subject to 2x1+x22x3x41,
5x1 + x2-x3-×4 ≤ −1,
2x1+x2-x3-34
2,
1, 2, 3, 40.
Chapter 30 Solutions
Mathematics For Machine Technology
Ch. 30 - Prob. 1ACh. 30 - Prob. 2ACh. 30 - Prob. 3ACh. 30 - Prob. 4ACh. 30 - Prob. 5ACh. 30 - Prob. 6ACh. 30 - Fractional-Inch Steel Rules Read measurements on...Ch. 30 - Prob. 8ACh. 30 - Read measurements on the enlarged fractional rule...Ch. 30 - Read measurements w-z on the enlarged fractional...
Ch. 30 - Prob. 11ACh. 30 - Prob. 12ACh. 30 - Prob. 13ACh. 30 - Prob. 14ACh. 30 - Prob. 15ACh. 30 - Prob. 16ACh. 30 - Decimal-Inch Steel Rules Read measurements a-d on...Ch. 30 - Prob. 18ACh. 30 - Prob. 19ACh. 30 - Prob. 20ACh. 30 - In Exercises 21 and 22, measure the length of each...Ch. 30 - Prob. 22ACh. 30 - Prob. 23ACh. 30 - Prob. 24ACh. 30 - Prob. 25ACh. 30 - Prob. 26ACh. 30 - Read measurements w-zon the enlarged fractional...Ch. 30 - Prob. 28ACh. 30 - Prob. 29ACh. 30 - Measure the lengths of dimensions a-f in Figure...Ch. 30 - Measure the lengths of g-k in Figure 30-26 to the...
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