Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 80, Problem 13A
To determine
(a)
The coordinates in table form for the holes by using absolute programming.
To determine
(b)
The coordinates in table form for the holes by using incremental programming.
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Students have asked these similar questions
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 80 Solutions
Mathematics for Machine Technology
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- Solve the system :- (1-x) dux (1+x) 3x + yox you to -you -y sy + (1-1) 14 + (1 + x)y. EXTERarrow_forward2. A Ferris wheel has its centre 10 m above the ground and a radius of 8 m. When in operation, it completes 5 revolutions every minute. a) Determine the equation of a sinusoidal function to represent the height of a rider, assuming the rider starts at the bottom of the Ferris wheel. b) Determine the height of the rider at 30 seconds.arrow_forwardPls help asap. Thank you!arrow_forward
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