Student Suite Cd-rom For Winston's Operations Research: Applications And Algorithms
4th Edition
ISBN: 9780534423551
Author: Wayne L. Winston
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Concept explainers
Expert Solution & Answer
Chapter 3.3, Problem 9P
Explanation of Solution
Identifying the case that applies the following LPs:
Mathematical model of given LP is,
Subject to the constraints,
Plot the graph:
The graph is plotted by treating them as linear equations and the graph for the given linear program is shown
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Solve the following LP optimization problem using the simplex method: maximize 40x + 30 subject to x + y <= 12, 2x + y <= 16 x >= 1 , y >= 0
Variable Cells
Final
Reduced
Objective
Allowable
Allowable
Cell
Name
Value
Cost
Coefficient
Increase
Decrease
Туре А
4
-3.5
1E+30
Туре B
y
Туре С
3.
6.
2
Constraints
Final
Shadow
Constraint
Allowable
Allowable
Cell
Name
Value
Price
R.H. Side
Increase
Decrease
Hours
1.
15
1
15
12
8.
Plastic
20
30
1E+30
30
Cotton
70
70
40
55
Calculate the optimal value of the objective function if the coefficient of "x" changes to 4 and the coefficient of "y" changes to 3.5.
Hint: Since it is proposing a simultaneous change (more than one change at a time), we have to check the 100% rule.
**Enter the number only**
**Do not use any words or symbols**
Answer:
5
M 5
b) Consider the following linear programming problem:
Min z = x1 + x2
s.t. 3x1 – 2x2 < 5
X1 + x2 < 3
3x1 + 3x2 2 9
X1, X2 2 0
Using the graphical approach, determine the possible optimal solution(s) and comment
on the special case involved, if any.
Chapter 3 Solutions
Student Suite Cd-rom For Winston's Operations Research: Applications And Algorithms
Ch. 3.1 - Prob. 1PCh. 3.1 - Prob. 2PCh. 3.1 - Prob. 3PCh. 3.1 - Prob. 4PCh. 3.1 - Prob. 5PCh. 3.2 - Prob. 1PCh. 3.2 - Prob. 2PCh. 3.2 - Prob. 3PCh. 3.2 - Prob. 4PCh. 3.2 - Prob. 5P
Ch. 3.2 - Prob. 6PCh. 3.3 - Prob. 1PCh. 3.3 - Prob. 2PCh. 3.3 - Prob. 3PCh. 3.3 - Prob. 4PCh. 3.3 - Prob. 5PCh. 3.3 - Prob. 6PCh. 3.3 - Prob. 7PCh. 3.3 - Prob. 8PCh. 3.3 - Prob. 9PCh. 3.3 - Prob. 10PCh. 3.4 - Prob. 1PCh. 3.4 - Prob. 2PCh. 3.4 - Prob. 3PCh. 3.4 - Prob. 4PCh. 3.5 - Prob. 1PCh. 3.5 - Prob. 2PCh. 3.5 - Prob. 3PCh. 3.5 - Prob. 4PCh. 3.5 - Prob. 5PCh. 3.5 - Prob. 6PCh. 3.5 - Prob. 7PCh. 3.6 - Prob. 1PCh. 3.6 - Prob. 2PCh. 3.6 - Prob. 3PCh. 3.6 - Prob. 4PCh. 3.6 - Prob. 5PCh. 3.7 - Prob. 1PCh. 3.8 - Prob. 1PCh. 3.8 - Prob. 2PCh. 3.8 - Prob. 3PCh. 3.8 - Prob. 4PCh. 3.8 - Prob. 5PCh. 3.8 - Prob. 6PCh. 3.8 - Prob. 7PCh. 3.8 - Prob. 8PCh. 3.8 - Prob. 9PCh. 3.8 - Prob. 10PCh. 3.8 - Prob. 11PCh. 3.8 - Prob. 12PCh. 3.8 - Prob. 13PCh. 3.8 - Prob. 14PCh. 3.9 - Prob. 1PCh. 3.9 - Prob. 2PCh. 3.9 - Prob. 3PCh. 3.9 - Prob. 4PCh. 3.9 - Prob. 5PCh. 3.9 - Prob. 6PCh. 3.9 - Prob. 7PCh. 3.9 - Prob. 8PCh. 3.9 - Prob. 9PCh. 3.9 - Prob. 10PCh. 3.9 - Prob. 11PCh. 3.9 - Prob. 12PCh. 3.9 - Prob. 13PCh. 3.9 - Prob. 14PCh. 3.10 - Prob. 1PCh. 3.10 - Prob. 2PCh. 3.10 - Prob. 3PCh. 3.10 - Prob. 4PCh. 3.10 - Prob. 5PCh. 3.10 - Prob. 6PCh. 3.10 - Prob. 7PCh. 3.10 - Prob. 8PCh. 3.10 - Prob. 9PCh. 3.11 - Prob. 1PCh. 3.11 - Show that Finco’s objective function may also be...Ch. 3.11 - Prob. 3PCh. 3.11 - Prob. 4PCh. 3.11 - Prob. 7PCh. 3.11 - Prob. 8PCh. 3.11 - Prob. 9PCh. 3.12 - Prob. 2PCh. 3.12 - Prob. 3PCh. 3.12 - Prob. 4PCh. 3 - Prob. 1RPCh. 3 - Prob. 2RPCh. 3 - Prob. 3RPCh. 3 - Prob. 4RPCh. 3 - Prob. 5RPCh. 3 - Prob. 6RPCh. 3 - Prob. 7RPCh. 3 - Prob. 8RPCh. 3 - Prob. 9RPCh. 3 - Prob. 10RPCh. 3 - Prob. 11RPCh. 3 - Prob. 12RPCh. 3 - Prob. 13RPCh. 3 - Prob. 14RPCh. 3 - Prob. 15RPCh. 3 - Prob. 16RPCh. 3 - Prob. 17RPCh. 3 - Prob. 18RPCh. 3 - Prob. 19RPCh. 3 - Prob. 20RPCh. 3 - Prob. 21RPCh. 3 - Prob. 22RPCh. 3 - Prob. 23RPCh. 3 - Prob. 24RPCh. 3 - Prob. 25RPCh. 3 - Prob. 26RPCh. 3 - Prob. 27RPCh. 3 - Prob. 28RPCh. 3 - Prob. 29RPCh. 3 - Prob. 30RPCh. 3 - Graphically find all solutions to the following...Ch. 3 - Prob. 32RPCh. 3 - Prob. 33RPCh. 3 - Prob. 34RPCh. 3 - Prob. 35RPCh. 3 - Prob. 36RPCh. 3 - Prob. 37RPCh. 3 - Prob. 38RPCh. 3 - Prob. 39RPCh. 3 - Prob. 40RPCh. 3 - Prob. 41RPCh. 3 - Prob. 42RPCh. 3 - Prob. 43RPCh. 3 - Prob. 44RPCh. 3 - Prob. 45RPCh. 3 - Prob. 46RPCh. 3 - Prob. 47RPCh. 3 - Prob. 48RPCh. 3 - Prob. 49RPCh. 3 - Prob. 50RPCh. 3 - Prob. 51RPCh. 3 - Prob. 52RPCh. 3 - Prob. 53RPCh. 3 - Prob. 54RPCh. 3 - Prob. 56RPCh. 3 - Prob. 57RPCh. 3 - Prob. 58RPCh. 3 - Prob. 59RPCh. 3 - Prob. 60RPCh. 3 - Prob. 61RPCh. 3 - Prob. 62RPCh. 3 - Prob. 63RP
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- determine the optimal value of X1 and X2 that maximize value Z. Max Z = 5X1 + 2X2 St. X1 + X2 = 0arrow_forwardQ4) By using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z. Max Z= X1 + 2X2 Subject to; 2 X1+ 5X2 >= 10 X1 + X2 = 0arrow_forwardSolve the following graphically: Max z = 3x1 + 4x2 subject to x1 + 2x2 ≤ 16 2x1 + 3x2 ≤ 18 x1 ≥ 2 x2 ≤ 10 x1, x2 ≥ 0 What are the optimal values of x1, x2, and z? Group of answer choices x1 = 93, x2 = 0, z = 48 x1 = 19, x2 = 0, z = 32 x1 = 10, x2 = 0, z = 27 x1 = 9, x2 = 0, z = 27 x1 = 9, x2 = 3, z = 30 x1 = 12, x2 = 6, z = 42arrow_forward
- Given the objective function 2x1+5x2 that needs to be maximized and the graphical solution shown below, what is the optimal value of the objective function? 420 20 [ [8] Answer: 45arrow_forward9. Recall the TJ Inc.'s problem (Chapter 2, Problem 28). Letting W = jars of Western Foods Salsa M = jars of Mexico City Salsa leads to the formulation: Max 1W + 1.25M s.t. 5W + 7M 0arrow_forwarduses the python program 1- Sketching the optimal level set of the objective function and find optimal value 1) using ploting objective function contours and also 2) checking vertex points. maximize subject to (Hint: optimal value = 42) 2x + 3y -3x + y ==0 1:06 ص //arrow_forward
- If 142 and 155 are two feasible solutions for a primal minimization problem, whereas 122 and 130 are two feasible solutions for the associated dual maximization problem. Which of the following statements is the most correct? 122 <= Optimal solution <= 155 O b. 122 <= Optimal solution <= 142 D DC 130 <= Optimal solution <= 142 Od 130 <= Optimal solution <= 155arrow_forwardIf it is possible to create an optimal solution for a problem by constructing optimal solutions for its subproblems, then the problem possesses the corresponding property. a) Subproblems which overlap b) Optimal substructure c) Memorization d) Greedyarrow_forwardIt is unclear why each LP has an optimal fundamental feasible solution.arrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Operations Research : Applications and AlgorithmsComputer ScienceISBN:9780534380588Author:Wayne L. WinstonPublisher:Brooks Cole
Operations Research : Applications and Algorithms
Computer Science
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole