Mathematics for Machine Technology
7th Edition
ISBN: 9781133281450
Author: John C. Peterson, Robert D. Smith
Publisher: Cengage Learning
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Textbook Question
Chapter 39, Problem 78A
Multiply the following terms as indicated.
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Find the closed formula for each of the following sequences (a_n)_n>=1 by realting them to a well known sequence. Assume the first term given is a_1
d. 5,23,119,719,5039
i have tried finding the differnces and the second difference and i still dont see the pattern
You manage a chemical company with 2 warehouses. The following quantities of
Important Chemical A have arrived from an international supplier at 3 different
ports:
Chemical Available (L)
Port 1
Port 2
Port 3
400
110
100
The following amounts of Important Chemical A are required at your warehouses:
Warehouse 1
Warehouse 2
Chemical Required (L)
380
230
The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
Warehouse 1 Warehouse 2
Port 1
£10
£45
Port 2
£20
£28
Port 3
£13
£11
(a) You want to know how to send these shipments as cheaply as possible. For-
mulate this as a linear program (you do not need to formulate it in standard
inequality form) indicating what each variable represents.
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 12 23
81
82
83
S4
$1
-20
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 21 - - 2x2 + x3 - 4x4
subject to 2x1+x22x3x4≥ 1,
5x1+x2-x3-4 -1,
2x1+x2-x3-342,
1, 2, 3, 4 ≥0.
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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