
EBK CONTEMPORARY MATHEMATICS FOR BUSINE
8th Edition
ISBN: 9781305888715
Author: Brechner
Publisher: CENGAGE LEARNING - CONSIGNMENT
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Chapter 14, Problem 8AT
To determine
To calculate: The percentage of appraised value and the potential credit when appraised value is
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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 14 Solutions
EBK CONTEMPORARY MATHEMATICS FOR BUSINE
Ch. 14.I - What is the monthly payment and total interest on...Ch. 14.I - Prob. 2TIECh. 14.I - Prob. 3TIECh. 14.I - Prob. 4TIECh. 14.I - Prob. 5TIECh. 14.I - Using Table 14-1 as needed, calculate the required...Ch. 14.I - Prob. 2RECh. 14.I - Using Table 14-1 as needed, calculate the required...Ch. 14.I - Prob. 4RECh. 14.I - Prob. 5RE
Ch. 14.I - Prob. 6RECh. 14.I - Using Table 14-1 as needed, calculate the required...Ch. 14.I - Prob. 8RECh. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - As one of the loan officers for Grove Gate Bank,...Ch. 14.I - Ben and Mal Scott plan to buy a home for $272,900....Ch. 14.I - 16. Michael Sanchez purchased a condominium for...Ch. 14.I - 17. Luis Schambach is shopping for a 15-year...Ch. 14.I - 18. Phil Pittman is interested in a fixed-rate...Ch. 14.I - 19. Larry and Cindy Lynden purchased a townhome in...Ch. 14.I - Heather Gott bought a home with an adjustable-rate...Ch. 14.I - Joe and Gloria Moutran art purchasing a house in...Ch. 14.I - 22. You are a real estate broker for Aurora...Ch. 14.II - Justin Schaefer owns a home that was recently...Ch. 14.II - Roman Bass cams a gross income of $3,100 per...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - For the following second mortgage applications,...Ch. 14.II - Calculate the housing expense ratio and the total...Ch. 14.II - Calculate the housing expense ratio and the total...Ch. 14.II - Prob. 10RECh. 14.II - Prob. 11RECh. 14.II - Prob. 12RECh. 14.II - Prob. 13RECh. 14.II - Prob. 14RECh. 14.II - Use Exhibit 14-4, Lending Ratio Guidelines, on...Ch. 14.II - 16. Ronald and Samantha Brady recently had their...Ch. 14.II - Prob. 17RECh. 14.II - Ransford and Alda Mariano own a home recently...Ch. 14.II - Prob. 19RECh. 14.II - Jamie and Alice Newmark have a combined monthly...Ch. 14.II - Prob. 21RECh. 14.II - According to moncy.CNN.com. with mortguge rates...Ch. 14 - 1. Land, including permanent improvements on that...Ch. 14 - A(n) ___________ is a loan in which real property...Ch. 14 - Mortgage ___________ points are an extra charge...Ch. 14 - Prob. 4CRCh. 14 - 5. A(n) ___________ account is a bank account used...Ch. 14 - Prob. 6CRCh. 14 - Prob. 7CRCh. 14 - Prob. 8CRCh. 14 - Prob. 9CRCh. 14 - Prob. 10CRCh. 14 - A home equity ___________ is a lump-sum second...Ch. 14 - Prob. 12CRCh. 14 - Prob. 13CRCh. 14 - Prob. 14CRCh. 14 - Prob. 1ATCh. 14 - Prob. 2ATCh. 14 - Suzanne Arthurs purchased a home with a $146,100...Ch. 14 - Prob. 4ATCh. 14 - Prob. 5ATCh. 14 - Prob. 6ATCh. 14 - Prob. 7ATCh. 14 - Prob. 8ATCh. 14 - Prob. 9ATCh. 14 - Prob. 10ATCh. 14 - Prob. 11ATCh. 14 - 12. Dale Evans bought the Lazy D Ranch with an...Ch. 14 - 13. Diversified Investments purchased a 24-unit...Ch. 14 - Larry Mager purchased a ski lodge in Telluride for...Ch. 14 - 15. A Denny’s Restaurant franchisee is looking for...Ch. 14 - Prob. 16ATCh. 14 - Adam Marsh is purchasing a $134,000 condominium...Ch. 14 - Prob. 18ATCh. 14 - Prob. 19ATCh. 14 - Prob. 20ATCh. 14 - 21. Phil Armstrong earns a gross income of $5,355...Ch. 14 - 22. Magda Leon is applying for a home mortgage...
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