Contemporary Mathematics For Business & Consumers, Brief Edition, Loose-leaf Version
8th Edition
ISBN: 9781305867192
Author: Robert Brechner, Geroge Bergeman
Publisher: South-Western College Pub
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Question
Chapter 11.I, Problem 3TIE
To determine
To calculate: The new table factor and compound amount invested by Stan Grey, who invested $3,500, compounded quarterly for 7 years at
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You manage a chemical company with 2 warehouses. The following quantities of
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400
110
100
The following amounts of Important Chemical A are required at your warehouses:
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380
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The cost in £ to ship 1L of chemical from each port to each warehouse is as follows:
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£20
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(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
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2
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0
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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.
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subject to Ax=b,
x≥ 0.
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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.
Chapter 11 Solutions
Contemporary Mathematics For Business & Consumers, Brief Edition, Loose-leaf Version
Ch. 11.I - Gail Parker invested $10,000 at 6% interest...Ch. 11.I - Jenny Chao invested $20,000 at 6% interest...Ch. 11.I - Prob. 3TIECh. 11.I - Jill Quinn invested $7,000 in a certificate of...Ch. 11.I - Prob. 5TIECh. 11.I - Prob. 1RECh. 11.I - For the following investments, find the total...Ch. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 4RECh. 11.I - Prob. 5RE
Ch. 11.I - Prob. 6RECh. 11.I - For the following investments, find the total...Ch. 11.I - Prob. 8RECh. 11.I - Prob. 9RECh. 11.I - Manually calculate the compound amount and...Ch. 11.I - Prob. 11RECh. 11.I - Prob. 12RECh. 11.I - Prob. 13RECh. 11.I - Prob. 14RECh. 11.I - Prob. 15RECh. 11.I - Prob. 16RECh. 11.I - Using Table 11-1, calculate the compound amount...Ch. 11.I - Prob. 18RECh. 11.I - Prob. 19RECh. 11.I - The following investments require table factors...Ch. 11.I - Prob. 21RECh. 11.I - Prob. 22RECh. 11.I - Prob. 23RECh. 11.I - Prob. 24RECh. 11.I - Prob. 25RECh. 11.I - For the following investments, compute the amount...Ch. 11.I - For the following investments, compute the amount...Ch. 11.I - Prob. 28RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 30RECh. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Solve the following word problems by using Table...Ch. 11.I - Prob. 35RECh. 11.I - Solve the following exercises and word problems by...Ch. 11.I - Prob. 37RECh. 11.I - Prob. 38RECh. 11.I - 39. Gabriel Hopen, a 32-year-old commercial...Ch. 11.I - 40. The FernRod Motorcycle Company invested...Ch. 11.II - Prob. 6TIECh. 11.II - Calculate a new table factor and find the present...Ch. 11.II - Prob. 8TIECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 2RECh. 11.II - Prob. 3RECh. 11.II - Prob. 4RECh. 11.II - Prob. 5RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 7RECh. 11.II - For the following investments, calculate the...Ch. 11.II - Prob. 9RECh. 11.II - Prob. 10RECh. 11.II - Prob. 11RECh. 11.II - The following investments require table factors...Ch. 11.II - The following investments require table factors...Ch. 11.II - Prob. 14RECh. 11.II - The following investments require table factors...Ch. 11.II - Prob. 16RECh. 11.II - Prob. 17RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 19RECh. 11.II - Solve the following word problems by using Table...Ch. 11.II - Prob. 21RECh. 11.II - Solve the following word problems by using table...Ch. 11.II - Prob. 23RECh. 11.II - Prob. 24RECh. 11.II - Solve the following exercises and word problems by...Ch. 11.II - Prob. 26RECh. 11.II - 27. Alana and Eva Rodriguez are planning a...Ch. 11.II - 28. Mike Gioulis would like to have $25,000 in 4...Ch. 11.II - You are the finance manager for Olympia...Ch. 11 - 1. Interest calculated solely on the principal is...Ch. 11 - Prob. 2CRCh. 11 - Prob. 3CRCh. 11 - Prob. 4CRCh. 11 - Prob. 5CRCh. 11 - Prob. 6CRCh. 11 - Prob. 7CRCh. 11 - A shortcut method for calculating approximately...Ch. 11 - Prob. 9CRCh. 11 - Prob. 10CRCh. 11 - Prob. 11CRCh. 11 - Prob. 12CRCh. 11 - Prob. 13CRCh. 11 - 14. To use the compound interest formula and the...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Using Table 11-1, calculate the compound amount...Ch. 11 - Prob. 4ATCh. 11 - Prob. 5ATCh. 11 - The following investments require table factors...Ch. 11 - Prob. 7ATCh. 11 - For the following investments, compute the amount...Ch. 11 - Prob. 9ATCh. 11 - Prob. 10ATCh. 11 - Calculate the present value (principal) and the...Ch. 11 - Prob. 12ATCh. 11 - Prob. 13ATCh. 11 - Prob. 14ATCh. 11 - Prob. 15ATCh. 11 - Prob. 16ATCh. 11 - Prob. 17ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 19ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 22ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 25ATCh. 11 - Solve the following word problems by using Table...Ch. 11 - Solve the following word problems by using Table...Ch. 11 - Prob. 28ATCh. 11 - Prob. 29ATCh. 11 - Prob. 30ATCh. 11 - Prob. 31ATCh. 11 - Prob. 32ATCh. 11 - Prob. 33ATCh. 11 - Prob. 34ATCh. 11 - Prob. 35ATCh. 11 - Prob. 36ATCh. 11 - Prob. 37ATCh. 11 - Quinn and Julius inherited $50,000 each from their...Ch. 11 - 39. Greg and Verena Sava need $20,000 in 3 years...
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