EBK FINITE MATHEMATICS FOR THE MANAGERI
11th Edition
ISBN: 8220100478185
Author: Tan
Publisher: CENGAGE L
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Question
Chapter 4.2, Problem 7E
To determine
The solution to the primal problem and the solution associated to the dual problem.
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Check out a sample textbook solutionStudents have asked these similar questions
(i) Use x.and x.as the initial basic variables and apply simplex method to solve:
Maximize: z=6x. + 8x: + X+ 2x.
subject to: 2x. +x: +x
= 20
X+ 3x.
+x.= 24
With: x., x., X,X, >0
ii) Write the dual to the problem.
Use the simplex method to solve the following.
Maximize z= 3x, + 3x2 - 6x3
5x, + 5x2 - 10x3 s 90
6x, + 6x, + 12x3 s 122
subject to
X1 20, X2 20, Xg 2 0.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
DA Treating x, as a nonbasic variable, the maximum is
when x =x2 =X3 = ,S, =0 and s, =
O B. There is no maximum solution for this problem.
Solve the following problem by using the Simplex approach:
Maximize Z = 4X1 – 6X2
Subject to:
3X1 + 2X2 > 6
2X1 + X2 < 2
3X1 – 2X2 < 4
all variables > 0
Chapter 4 Solutions
EBK FINITE MATHEMATICS FOR THE MANAGERI
Ch. 4.1 - Give the three characteristics of a standard...Ch. 4.1 - a. When the initial simplex tableau is set up, how...Ch. 4.1 - In the simplex method, how is a pivoted column...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - In Exercises 1-6, a write the linear programming...Ch. 4.1 - Prob. 6ECh. 4.1 - In Exercises 7-16, determine whether the given...
Ch. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - Prob. 9ECh. 4.1 - Prob. 10ECh. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - In Exercises 7-16, determine whether the given...Ch. 4.1 - Prob. 15ECh. 4.1 - Prob. 16ECh. 4.1 - Prob. 17ECh. 4.1 - Prob. 18ECh. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - Prob. 20ECh. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - In Exercise 17-31, solve each linear programming...Ch. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - Prob. 29ECh. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - PRODUCTION SCHEDULING A company manufactures two...Ch. 4.1 - Prob. 35ECh. 4.1 - PRODUCTION SCHEDULING Kane Manufacturing has a...Ch. 4.1 - ASSETALLOCATION Justin has decided to invest at...Ch. 4.1 - ASSET ALLOCATION A financier plans to invest up to...Ch. 4.1 - PRODUCTION SCHEDULING A division of the Winston...Ch. 4.1 - CROP PLANNING A farmer has 150 acres of land...Ch. 4.1 - PRODUCTION SCHEDULING A company manufactures...Ch. 4.1 - ASSET ALLOCATION Ashley has earmarked at most...Ch. 4.1 - PRODUCTION SCHEDULING Ace Novelty manufactures...Ch. 4.1 - OPTIMIZING ADVERTISING EXPOSURE As part of a...Ch. 4.1 - PRODUCTION SCHEDULING Custom Office Furniture is...Ch. 4.1 - OPTIMIZING PROFIT FOR PREFABRICATED HOUSING Boise...Ch. 4.1 - ASSET ALLOCATION Sharon has a total of 200,000 to...Ch. 4.1 - OPTIMIZING PROFIT FOR BLENDED JUICE DRINKS...Ch. 4.1 - OPTIMIZING PROFIT FOR COLD FORMULAS Beyer...Ch. 4.1 - ASSET ALLOCATION A financier plans to invest up to...Ch. 4.1 - Consider the linear programming problem Maximize...Ch. 4.1 - Prob. 52ECh. 4.1 - Prob. 53ECh. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - Solve the linear programming problems. Maximize...Ch. 4.1 - Prob. 2TECh. 4.1 - Prob. 3TECh. 4.1 - Prob. 4TECh. 4.2 - Suppose you are given the linear programming...Ch. 4.2 - Prob. 2CQCh. 4.2 - Prob. 3CQCh. 4.2 - Prob. 4CQCh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - In Exercise 16, use the technique developed in...Ch. 4.2 - Prob. 5ECh. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.2 - Prob. 8ECh. 4.2 - Prob. 9ECh. 4.2 - Prob. 10ECh. 4.2 - Prob. 11ECh. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - Prob. 13ECh. 4.2 - In Exercise 1120, construct the dual problem...Ch. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - Prob. 16ECh. 4.2 - Prob. 17ECh. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - Prob. 19ECh. 4.2 - In Exercises 1120, construct the dual problem...Ch. 4.2 - MINIMIZING CRUISE LINE COSTS Deluxe River Cruises...Ch. 4.2 - FERTILIZER COSTSA farmer uses two types of...Ch. 4.2 - DIET PLANNING The owner of the Health Juice Bar...Ch. 4.2 - OPTIMIZING ADVERTISING EXPOSURE Everest Deluxe...Ch. 4.2 - MINIMIZING SHIPPING Cons Acrosonic manufactures a...Ch. 4.2 - MINIMIZING SHIPPING COSTS Steinwelt Piano...Ch. 4.2 - MINIMIZING OIL REFINERY COSTS An oil company...Ch. 4.2 - Prob. 28ECh. 4.2 - In Exercises 28 and 29, determine whether the...Ch. 4.2 - Prob. 1TECh. 4.2 - Prob. 2TECh. 4.2 - Prob. 3TECh. 4.2 - Prob. 4TECh. 4.3 - Explain why the following linear programming...Ch. 4.3 - Prob. 2CQCh. 4.3 - Prob. 3CQCh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - Prob. 15ECh. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - In Exercises 520, use the method of this section...Ch. 4.3 - Prob. 20ECh. 4.3 - MAXIMIZING INVESTMENT RETURNS Natsano has at most...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - CROP PLANNING A farmer has 150 acres of land...Ch. 4.3 - PRODUCTION SCHEDULING A company manufactures...Ch. 4.3 - PRODUCTION SCHEDULING Wayland Company manufactures...Ch. 4.3 - DIET PLANNING A nutritionist at the Medical Center...Ch. 4.3 - MINIMIZING SHIPPING COSTS Steinwelt Piano...Ch. 4.CRQ - Prob. 1CRQCh. 4.CRQ - Prob. 2CRQCh. 4.CRQ - Prob. 3CRQCh. 4.CRQ - Prob. 4CRQCh. 4.CRE - Prob. 1CRECh. 4.CRE - Prob. 2CRECh. 4.CRE - In Exercises 1-8, use the simplex method to solve...Ch. 4.CRE - Prob. 4CRECh. 4.CRE - Prob. 5CRECh. 4.CRE - Prob. 6CRECh. 4.CRE - Prob. 7CRECh. 4.CRE - Prob. 8CRECh. 4.CRE - Prob. 9CRECh. 4.CRE - Construct the dual problem associated with the...Ch. 4.CRE - Prob. 11CRECh. 4.CRE - Prob. 12CRECh. 4.CRE - Prob. 13CRECh. 4.CRE - Prob. 14CRECh. 4.CRE - Prob. 15CRECh. 4.CRE - Prob. 16CRECh. 4.CRE - Prob. 17CRECh. 4.CRE - Prob. 18CRECh. 4.CRE - MINIMIZING MINING COSTS Perth Mining Company...Ch. 4.CRE - MINIMIZING RIVER CRUISE COSTS Nordic River Cruises...Ch. 4.CRE - MINIMIZING CITY WATER COSTS The water-supply...Ch. 4.CRE - INVESTMENT ANALYSIS Jorge has decided to invest at...Ch. 4.CRE - MAXIMIZING PROFIT A company manufactures three...Ch. 4.CRE - INVESTMENT ANALYSIS Sandra has at most 200,000 to...Ch. 4.BMO - Prob. 1BMOCh. 4.BMO - Prob. 2BMOCh. 4.BMO - Prob. 3BMOCh. 4.BMO - Prob. 4BMOCh. 4.BMO - Using the simplex method, solve the following...
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- Solve this LP problem using simplex method. Show all your solutions/tables used. Identify the optimum values of X1, X2, S1, S2, S3, and Z. Maximize Z = 3X1 + 2X2 subject to 6X1 + 4X2 <= 24 X1 + X2 <= 5 X1 <= 3 X1, X2 >= 0arrow_forwardUse the simplex method to solve the problem: Maximize: P = 3x1 + 2x2 subject to: 5x1 + 2x2 ≤ 20 3x1 + 2x2 ≤ 16 x1 ≥ 0, x2 ≥ 0arrow_forwardFind the optimal solution by simplex method 3 X, - 150x, + 1 Max Z X; - 6X4 50 s/t 25x, - 600x, – 4x, + 900x, s 0 25x, - 4500x, - Xz + 150x4 3 0 Xz 3 1 uhere x;¿ Oarrow_forward
- Write down the situations in which study of OR(operational-research) become fail. Convert the following constraints in to equations to be used for the simplex algebraic method. Max z = 2x1 + 3 x2 s.t. 0.5 x1 + 0.25 x2 ≤ 4 x1+ 3 x2 ≥ 20 x1+ x2 = 10 x1, x2 ≥ 0arrow_forwardUse the Simplex method to solve this problem when a = 1. Hint: does the LPP have an optimal solution in this case?arrow_forwardQ4: Solve the following problems using dual simplex method. -3x2 > (S. Maximize z = 5x₁ + 8x₂ 5x2 > -60 subject to =18 2x₁ + 3x₂ ≥ 15 3x₁ + 5x₂ ≤ 60 X₁ + X₂ = 18 X1, X₂ ≥ 0arrow_forward
- Minimize z = 24X1 + 28X2 subject to 5X1 + 4X2 <= 2,000 X1 + X2 >= 300 X1 >= 100 X1, X2 >=0 Solve the above problem with the simplex method. Provide the value of the basic variables(BV) at tableau #3 and the optimal solution of the LP. Notes: Set M = 100. Tableau #1 is the initial tableau where an inconsistency exists on row z. Tableau #2 is the tableau where the inconsistency on row z is fixed. Set s1 as the slack variable for constraint 1arrow_forwardConsider and find solution using the simplex method. Maximize 3x1+5x2+8x3 1+2x2 <8 Subject to 4x2 + 3x3 16 X1, X2, X3 ≥0arrow_forward
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