Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Chapter 37, Problem 29A
To determine
The shaded area of the given machine design.
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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.
Solve the system :-
(1-x) dux (1+x) 3x + yox you to
-you -y sy
+ (1-1) 14 + (1 + x)y.
EXTER
Chapter 37 Solutions
Mathematics for Machine Technology
Ch. 37 - Use the Table of BlockThicknesses of a Customary...Ch. 37 - Use a digital micrometer to measure the length and...Ch. 37 - Prob. 3ACh. 37 - Use an electronic vernier caliper to measure the...Ch. 37 - Prob. 5ACh. 37 - 43 is 62% of what number? Round the answer to 2...Ch. 37 - Express each of the following problems as an...Ch. 37 - Express each of the following problems as an...Ch. 37 - Express each of the following problems as an...Ch. 37 - Express each of the following problems as an...
Ch. 37 - Express each of the following problems as an...Ch. 37 - Express each of the following problems as an...Ch. 37 - Express each of the following problems as an...Ch. 37 - Prob. 14ACh. 37 - Prob. 15ACh. 37 - Prob. 16ACh. 37 - Stock is removed from a block in two operations....Ch. 37 - Prob. 18ACh. 37 - Substitute the given numbers for letters and find...Ch. 37 - Prob. 20ACh. 37 - Prob. 21ACh. 37 - Prob. 22ACh. 37 - Prob. 23ACh. 37 - Prob. 24ACh. 37 - Prob. 25ACh. 37 - Prob. 26ACh. 37 - Prob. 27ACh. 37 - Prob. 28ACh. 37 - Prob. 29ACh. 37 - Prob. 30ACh. 37 - Prob. 31ACh. 37 - Prob. 32ACh. 37 - Prob. 33ACh. 37 - Prob. 34A
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