Business Math (11th Edition)
Business Math (11th Edition)
11th Edition
ISBN: 9780134496436
Author: Cheryl Cleaves, Margie Hobbs, Jeffrey Noble
Publisher: PEARSON
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Chapter 6.1, Problem 2-3SC
To determine

To calculate: The value of percent 143% as a decimal.

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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 ₁ - 2x2+x34x4 subject to 2x1+x22x3x41, 5x1 + x2-x3-×4 ≤ −1, 2x1+x2-x3-34 2, 1, 2, 3, 40.
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

Chapter 6 Solutions

Business Math (11th Edition)

Ch. 6.1 - Prob. 1-11SCCh. 6.1 - Prob. 1-12SCCh. 6.1 - Prob. 2-1SCCh. 6.1 - Prob. 2-2SCCh. 6.1 - Prob. 2-3SCCh. 6.1 - Prob. 2-4SCCh. 6.1 - Prob. 2-5SCCh. 6.1 - Prob. 2-6SCCh. 6.1 - Prob. 2-7SCCh. 6.1 - Prob. 2-8SCCh. 6.1 - Prob. 2-9SCCh. 6.1 - Prob. 2-10SCCh. 6.1 - Prob. 2-11SCCh. 6.1 - Prob. 2-12SCCh. 6.1 - Prob. 1SECh. 6.1 - Prob. 2SECh. 6.1 - Prob. 3SECh. 6.1 - Prob. 4SECh. 6.1 - Prob. 5SECh. 6.1 - Prob. 6SECh. 6.1 - Prob. 7SECh. 6.1 - Prob. 8SECh. 6.1 - Prob. 9SECh. 6.1 - Prob. 10SECh. 6.1 - Prob. 11SECh. 6.1 - Prob. 12SECh. 6.1 - Prob. 13SECh. 6.1 - Prob. 14SECh. 6.1 - Prob. 15SECh. 6.1 - Prob. 16SECh. 6.1 - Prob. 17SECh. 6.1 - Prob. 18SECh. 6.1 - Prob. 19SECh. 6.1 - Prob. 20SECh. 6.1 - Prob. 21SECh. 6.1 - Prob. 22SECh. 6.1 - Prob. 23SECh. 6.1 - Prob. 24SECh. 6.1 - Prob. 25SECh. 6.1 - Prob. 26SECh. 6.1 - Prob. 27SECh. 6.1 - Prob. 28SECh. 6.1 - Prob. 29SECh. 6.1 - Prob. 30SECh. 6.1 - Prob. 31SECh. 6.1 - Prob. 32SECh. 6.1 - Prob. 33SECh. 6.1 - Prob. 34SECh. 6.1 - Prob. 35SECh. 6.2 - Prob. 1-1SCCh. 6.2 - Prob. 1-2SCCh. 6.2 - Prob. 1-3SCCh. 6.2 - Prob. 1-4SCCh. 6.2 - Prob. 1-5SCCh. 6.2 - Prob. 1-6SCCh. 6.2 - Prob. 1-7SCCh. 6.2 - Prob. 1-8SCCh. 6.2 - Prob. 2-1SCCh. 6.2 - Prob. 2-2SCCh. 6.2 - Prob. 2-3SCCh. 6.2 - Prob. 2-4SCCh. 6.2 - Prob. 2-5SCCh. 6.2 - Prob. 2-6SCCh. 6.2 - Prob. 2-7SCCh. 6.2 - Prob. 2-8SCCh. 6.2 - Prob. 2-9SCCh. 6.2 - Prob. 1SECh. 6.2 - Prob. 2SECh. 6.2 - Prob. 3SECh. 6.2 - Prob. 4SECh. 6.2 - Prob. 5SECh. 6.2 - Prob. 6SECh. 6.2 - Prob. 7SECh. 6.2 - Prob. 8SECh. 6.2 - Prob. 9SECh. 6.2 - Prob. 10SECh. 6.2 - Prob. 11SECh. 6.2 - Prob. 12SECh. 6.2 - Prob. 13SECh. 6.2 - Prob. 14SECh. 6.2 - Prob. 15SECh. 6.2 - Prob. 16SECh. 6.2 - Prob. 17SECh. 6.2 - Prob. 18SECh. 6.2 - Prob. 19SECh. 6.2 - Prob. 20SECh. 6.2 - Prob. 21SECh. 6.2 - Prob. 22SECh. 6.2 - Prob. 23SECh. 6.2 - Prob. 24SECh. 6.2 - Prob. 25SECh. 6.2 - Prob. 26SECh. 6.2 - Prob. 27SECh. 6.2 - Prob. 28SECh. 6.2 - Prob. 29SECh. 6.2 - Prob. 30SECh. 6.2 - Prob. 31SECh. 6.2 - Prob. 32SECh. 6.2 - Prob. 33SECh. 6.2 - Prob. 34SECh. 6.2 - Prob. 35SECh. 6.2 - Prob. 36SECh. 6.2 - Prob. 37SECh. 6.2 - Prob. 38SECh. 6.3 - Prob. 1-1SCCh. 6.3 - Prob. 1-2SCCh. 6.3 - Prob. 1-3SCCh. 6.3 - Prob. 1-4SCCh. 6.3 - Prob. 1-5SCCh. 6.3 - Prob. 1-6SCCh. 6.3 - Prob. 2-1SCCh. 6.3 - Prob. 2-2SCCh. 6.3 - Prob. 2-3SCCh. 6.3 - Prob. 2-4SCCh. 6.3 - Prob. 2-5SCCh. 6.3 - Prob. 2-6SCCh. 6.3 - Prob. 2-7SCCh. 6.3 - Prob. 3-1SCCh. 6.3 - Prob. 3-2SCCh. 6.3 - Prob. 3-3SCCh. 6.3 - Prob. 3-4SCCh. 6.3 - Prob. 3-5SCCh. 6.3 - Prob. 3-6SCCh. 6.3 - Prob. 1SECh. 6.3 - Prob. 2SECh. 6.3 - Prob. 3SECh. 6.3 - Prob. 4SECh. 6.3 - Prob. 5SECh. 6.3 - Prob. 6SECh. 6.3 - Prob. 7SECh. 6.3 - Prob. 8SECh. 6.3 - Prob. 9SECh. 6.3 - Prob. 10SECh. 6.3 - Prob. 11SECh. 6.3 - Prob. 12SECh. 6.3 - Prob. 13SECh. 6.3 - Prob. 14SECh. 6.3 - Prob. 15SECh. 6.3 - Prob. 16SECh. 6.3 - Prob. 17SECh. 6.3 - Prob. 18SECh. 6.3 - Prob. 19SECh. 6.3 - Prob. 20SECh. 6 - Prob. 1ESCh. 6 - Prob. 2ESCh. 6 - Prob. 3ESCh. 6 - Prob. 4ESCh. 6 - Prob. 5ESCh. 6 - Prob. 6ESCh. 6 - Prob. 7ESCh. 6 - Prob. 8ESCh. 6 - Prob. 9ESCh. 6 - Prob. 10ESCh. 6 - Prob. 11ESCh. 6 - Prob. 12ESCh. 6 - Prob. 13ESCh. 6 - Prob. 14ESCh. 6 - Prob. 15ESCh. 6 - Prob. 16ESCh. 6 - Prob. 17ESCh. 6 - Prob. 18ESCh. 6 - Prob. 19ESCh. 6 - Prob. 20ESCh. 6 - Prob. 21ESCh. 6 - Prob. 22ESCh. 6 - Prob. 23ESCh. 6 - Prob. 24ESCh. 6 - Prob. 25ESCh. 6 - Prob. 26ESCh. 6 - Prob. 27ESCh. 6 - Prob. 28ESCh. 6 - Prob. 29ESCh. 6 - Prob. 30ESCh. 6 - Prob. 31ESCh. 6 - Prob. 32ESCh. 6 - Prob. 33ESCh. 6 - Prob. 34ESCh. 6 - Prob. 35ESCh. 6 - Prob. 36ESCh. 6 - Prob. 37ESCh. 6 - Prob. 38ESCh. 6 - Prob. 39ESCh. 6 - Prob. 40ESCh. 6 - Prob. 41ESCh. 6 - Prob. 42ESCh. 6 - Prob. 43ESCh. 6 - Prob. 44ESCh. 6 - Prob. 45ESCh. 6 - Prob. 46ESCh. 6 - Prob. 47ESCh. 6 - Prob. 48ESCh. 6 - Prob. 49ESCh. 6 - Prob. 50ESCh. 6 - Prob. 51ESCh. 6 - Prob. 52ESCh. 6 - Prob. 53ESCh. 6 - Prob. 54ESCh. 6 - Prob. 55ESCh. 6 - Prob. 56ESCh. 6 - Prob. 57ESCh. 6 - Prob. 58ESCh. 6 - Prob. 59ESCh. 6 - Prob. 60ESCh. 6 - Prob. 61ESCh. 6 - Prob. 62ESCh. 6 - Prob. 63ESCh. 6 - Prob. 64ESCh. 6 - Prob. 65ESCh. 6 - Prob. 66ESCh. 6 - Prob. 67ESCh. 6 - Prob. 68ESCh. 6 - Prob. 69ESCh. 6 - Prob. 70ESCh. 6 - Prob. 71ESCh. 6 - Prob. 72ESCh. 6 - Prob. 73ESCh. 6 - Prob. 74ESCh. 6 - Prob. 75ESCh. 6 - Prob. 76ESCh. 6 - Prob. 77ESCh. 6 - Prob. 78ESCh. 6 - Prob. 79ESCh. 6 - Prob. 80ESCh. 6 - Prob. 81ESCh. 6 - Prob. 82ESCh. 6 - Prob. 83ESCh. 6 - Prob. 84ESCh. 6 - Prob. 85ESCh. 6 - Prob. 86ESCh. 6 - Prob. 87ESCh. 6 - Prob. 88ESCh. 6 - Prob. 89ESCh. 6 - Prob. 90ESCh. 6 - Prob. 91ESCh. 6 - Prob. 1PTCh. 6 - Prob. 2PTCh. 6 - Prob. 3PTCh. 6 - Prob. 4PTCh. 6 - Prob. 5PTCh. 6 - Prob. 6PTCh. 6 - Prob. 7PTCh. 6 - Prob. 8PTCh. 6 - Prob. 9PTCh. 6 - Prob. 10PTCh. 6 - Prob. 11PTCh. 6 - Prob. 12PTCh. 6 - Prob. 13PTCh. 6 - Prob. 14PTCh. 6 - Prob. 15PTCh. 6 - Prob. 16PTCh. 6 - Prob. 17PTCh. 6 - Prob. 18PTCh. 6 - Prob. 19PTCh. 6 - Prob. 20PTCh. 6 - Prob. 21PTCh. 6 - Prob. 22PTCh. 6 - Prob. 23PTCh. 6 - Prob. 24PTCh. 6 - Prob. 25PTCh. 6 - Prob. 26PTCh. 6 - Prob. 1CTCh. 6 - Prob. 2CTCh. 6 - Prob. 3CTCh. 6 - Prob. 4CTCh. 6 - Prob. 5CTCh. 6 - Prob. 6CTCh. 6 - Prob. 7CTCh. 6 - Prob. 8CTCh. 6 - Prob. 9CTCh. 6 - Prob. 10CTCh. 6 - Prob. 1CPCh. 6 - Prob. 2CPCh. 6 - Prob. 1CS1Ch. 6 - Prob. 2CS1Ch. 6 - Prob. 3CS1Ch. 6 - Prob. 1CS2Ch. 6 - Prob. 2CS2Ch. 6 - Prob. 3CS2Ch. 6 - Prob. 1CS3Ch. 6 - Prob. 2CS3Ch. 6 - Prob. 3CS3Ch. 6 - Prob. 4CS3Ch. 6 - Prob. 5CS3Ch. 6 - Prob. 6CS3Ch. 6 - Prob. 7CS3
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