Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 39, Problem 4A
To determine
To find the measurement of metric Vernier micrometer scale in this given image.
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For the Big-M tableau (of a maximization LP and row0 at bottom and M=1000),
Z
Ꮖ 1
x2
x3
81
82
83
e4
a4
RHS
0
7
0
0
1
0 4
3
-3
20
0
-4.5
0
0
0
1
-8 -2.5
2.5
6
0
7
0
1
0
0 8
3
-3
4
0
-1
50
1
0
0
0-2
-1
1
4
0000
0
30 970 200
If the original value of c₁ is increased by 60, what is the updated value of c₁ (meaning keeping the same set for BV. -10?
Having made that change, what is the new optimal value for ž?
Here is the optimal tableau for a standard Max problem.
zx1
x2
x3
24
81
82
83
rhs
1
0
5
3
0
6
0
1
.3
7.5 0
-
.1
.2
0 0
28
360
0
-8
522
0
2700
0
6
12
1
60
0
0
-1/15-3
1
1/15 -1/10 0
2
Using that the dual solution y = CBy B-1 and finding B = (B-¹)-¹
we find the original CBV and rhs b.
The allowable increase for b₂ is
If b₂ is increased by 3 then, using Dual Theorem, the new value for * is
If c₂ is increased by 10, then the new value for optimal > is
i.e. if no change to BV, then just a change to profit on selling product 2.
The original coefficients c₁ =
=☐ a
and c4 = 5
If c4 is changed to 512, then (first adjusting other columns of row0 by adding Delta times row belonging to x4
or using B-matrix method to update row0)
the new optimal value, after doing more simplex algorithm, for > is
Please show in mathematical form.
Chapter 39 Solutions
Mathematics for Machine Technology
Ch. 39 - Prob. 1ACh. 39 - Prob. 2ACh. 39 - Use the Table of Block Thicknesses for a Customary...Ch. 39 - Prob. 4ACh. 39 - Prob. 5ACh. 39 - Prob. 6ACh. 39 - Add the terms in the following expressions. 18y+yCh. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....
Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions. 4c3+0Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions. 5p+2p2Ch. 39 - Add the terms in the following expressions. a3+2a2Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Add the terms in the following expressions....Ch. 39 - Prob. 35ACh. 39 - Add the following expressions. 5x+7xy8y9x12xy+13yCh. 39 - Add the following expressions. 3a11d8ma+11d3mCh. 39 - Add the following expressions....Ch. 39 - Add the following expressions....Ch. 39 - Add the following expressions....Ch. 39 - Add the following expressions....Ch. 39 - Add the following expressions....Ch. 39 - Add the following expressions....Ch. 39 - Add the following expressions....Ch. 39 - Add the following expressions....Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated. 3xyxyCh. 39 - Subtract the following terms as indicated. 3xyxyCh. 39 - Subtract the following terms as indicated. 3xy(xy)Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Prob. 54ACh. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated. 13a9a2Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated. ax2ax2Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated. 213xCh. 39 - Subtract the following terms as indicated. 3x21Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following terms as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Subtract the following expressions as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated. (x)(x2)Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following terms as indicated....Ch. 39 - Multiply the following expressions as indicated...Ch. 39 - Multiply the following expressions as indicated...Ch. 39 - Multiply the following expressions as indicated...Ch. 39 - Multiply the following expressions as indicated...Ch. 39 - Multiply the following expressions as indicated...Ch. 39 - Multiply the following expressions as indicated...Ch. 39 - Multiply the following expressions as indicated...Ch. 39 - Multiply the following expressions as indicated...Ch. 39 - Multiply the following expressions as indicated...Ch. 39 - Multiply the following expressions as indicated...
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