Path To College Mathematics
1st Edition
ISBN: 9780134654409
Author: Martin-Gay, K. Elayn, 1955-
Publisher: Pearson,
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Chapter C, Problem 45ES
To determine
To write the heartbeat of hummingbird in per second.
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Students have asked these similar questions
Suppose we have a linear program in standard equation form
maximize cTx
subject to Ax = b.
x ≥ 0.
and suppose u, v, and w are all optimal solutions to this linear program.
(a) Prove that zu+v+w is an optimal solution.
(b) If you try to adapt your proof from part (a) to prove that that u+v+w
is an optimal solution, say exactly which part(s) of the proof go wrong.
(c) If you try to adapt your proof from part (a) to prove that u+v-w is an
optimal solution, say exactly which part(s) of the proof go wrong.
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
Microsoft Excel snapshot for random sampling: Also note the formula used for the last
column
02
x✓ fx =INDEX(5852:58551, RANK(C2, $C$2:$C$51))
A
B
1
No.
States
2
1
ALABAMA
Rand No.
0.925957526
3
2
ALASKA
0.372999976
4
3
ARIZONA
0.941323044
5
4 ARKANSAS
0.071266381
Random Sample
CALIFORNIA
NORTH CAROLINA
ARKANSAS
WASHINGTON
G7
Microsoft Excel snapshot for systematic sampling:
xfx INDEX(SD52:50551, F7)
A
B
E
F
G
1
No.
States
Rand No. Random Sample
population
50
2
1 ALABAMA
0.5296685 NEW HAMPSHIRE
sample
10
3
2 ALASKA
0.4493186 OKLAHOMA
k
5
4
3 ARIZONA
0.707914 KANSAS
5
4 ARKANSAS 0.4831379 NORTH DAKOTA
6
5 CALIFORNIA 0.7277162 INDIANA
Random Sample
Sample Name
7
6 COLORADO 0.5865002 MISSISSIPPI
8
7:ONNECTICU 0.7640596 ILLINOIS
9
8 DELAWARE 0.5783029 MISSOURI
525
10
15
INDIANA
MARYLAND
COLORADO
Chapter C Solutions
Path To College Mathematics
Ch. C - Prob. 1ESCh. C - Prob. 2ESCh. C - Prob. 3ESCh. C - Prob. 4ESCh. C - Prob. 5ESCh. C - Prob. 6ESCh. C - Prob. 7ESCh. C - Prob. 8ESCh. C - Prob. 9ESCh. C - Prob. 10ES
Ch. C - Prob. 11ESCh. C - Prob. 12ESCh. C - Prob. 13ESCh. C - Prob. 14ESCh. C - Prob. 15ESCh. C - Prob. 16ESCh. C - Prob. 17ESCh. C - Prob. 18ESCh. C - Prob. 19ESCh. C - Prob. 20ESCh. C - Prob. 21ESCh. C - Prob. 22ESCh. C - Prob. 23ESCh. C - Prob. 24ESCh. C - Prob. 25ESCh. C - Prob. 26ESCh. C - Prob. 27ESCh. C - Prob. 28ESCh. C - Prob. 29ESCh. C - Prob. 30ESCh. C - Prob. 31ESCh. C - Prob. 32ESCh. C - Prob. 33ESCh. C - Prob. 34ESCh. C - Prob. 35ESCh. C - Prob. 36ESCh. C - Prob. 37ESCh. C - Prob. 38ESCh. C - Prob. 39ESCh. C - Prob. 40ESCh. C - Prob. 41ESCh. C - Prob. 42ESCh. C - Prob. 43ESCh. C - Prob. 44ESCh. C - Prob. 45ESCh. C - Prob. 46ESCh. C - Prob. 47ESCh. C - Prob. 48ESCh. C - Prob. 49ESCh. C - Prob. 50ESCh. C - 12,000 good assembly line products to 40 defective...Ch. C - Prob. 52ESCh. C - Prob. 53ESCh. C - Prob. 54ESCh. C - Prob. 55ESCh. C - Prob. 56ESCh. C - Prob. 57ESCh. C - Prob. 58ESCh. C - Prob. 59ESCh. C - Prob. 60ESCh. C - Prob. 61ESCh. C - Prob. 62ESCh. C - Prob. 63ESCh. C - Prob. 64ESCh. C - Prob. 65ESCh. C - Prob. 66ESCh. C - Prob. 67ESCh. C - Prob. 68ESCh. C - Prob. 69ESCh. C - Prob. 70ES
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