
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Question

Transcribed Image Text:For the linear programming problem to the right,
(a) Set up the simplex tableau.
(b) Determine the particular solution corresponding to the initial tableau
(a) Set up the simplex tableau
8
1
0
1
1
0
1
0
0
0
0
1
10
W
0
0
1
0
(b) Determine the particular solution corresponding to the initial tableau
x=y=2-u-113, v-w-M=0.
0
0
0
0
1
218
113
Maximize x + 5y-7z subject to the listed constraints.
x+y+z=113
7x
+x≤218
8x+14y $113
x20, y20, 220
Expert Solution

This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 3 steps with 13 images

Knowledge Booster
Similar questions
- Consider the following linear program. (b) -1A + 2B ≤9 1A + 2B ≤11 2A + 1B ≤18 A, B≥ 0 (a) Write the problem in standard form. s.t. Max 3A + 4B + Max 3A + 4B s.t. 5 -1A + 2B + (A, B) = = A, B, S₁, S₂, S3 ≥ V = 1A + 2B 2A + 1B 0 S₁ 0 + Solve the problem using the graphical solution procedure. (1.5, 1.5 + ( 0 (c) What are the values of the three slack variables at the optimal solution? S₁ = 6 S₂ 0 S3 0 S2 )5₂ + ( + 0 $3 9 = 11 = 18arrow_forwardUse the simplex method to solve the following. z = 3x₁ + 3x₂ - 6x3 5x₁ + 5x₂ - 10x3 ≤ 75 6x₁ + 6x₂ + 12x3 ≤ 104 X₁ ≥ 0, X₂ ≥0, X3 ≥ 0. Maximize subject to Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. Treating x₂ as a nonbasic variable, the maximum is x₁ =₁ X₂ = ‚ X3: S₁ = 0 and $₂ B. There is no maximum solution for this problem. whenarrow_forwardAn investor has $621,000 to invest in bonds. Bond A yields an average of 8% and the bond B yields 7%. The investor requires that at least 5 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. This can be set up as a linear programming problem. Introduce the decision variables: x= dollars invested in bond Ay= dollars invested in bond B Compute x+y. $ . Round to the nearest cent. Investor Matt has $152,000 to invest in bonds. Bond A yields an average of 9.2% and the bond B yields 8.4%. Matt requires that at least 4 times as much money be invested in bond A as in bond B. You must invest in these bonds to maximize his return. What is the maximum return? $ per year. Round to the nearest cent. Investor Dan has $607,000 to invest in bonds. Bond A yields an average of 8.5% and the bond B yields 8.4%. Dan requires that at least 4 times as much money be invested in bond A as in…arrow_forward
- Find the optimal Solution for the Following linear the Programming model using graphical method: Min Z = 41 X, +35 Xe sub. to: 2X+3X2 1250 X1+ X2250 5X1 + 3X2 900 232.5 0.6x1 +0.25 x27 X1, X270arrow_forwardc. State the # of c-47 and c- 54's the Americans used to maximize their carrying capacity's d. What are the advantages/disadvantages of solving the liner programming problem using the graphing method vs the simplex method?arrow_forwardThe initial tableau of a linear programming problem is given. Use the simplex method to solve the problem. X1 X2 135 4 $1 1100 3223 1 -5 -1 -3 NOO $2 0 0 19 1 0 42 0 120 = The maximum is when x₁ = X2, X3 = 0, S₁ = 0, and $2 = . (Type integers or simplified fractions.)arrow_forward
- For the linear programming problem to the right, (a) Set up the simplex tableau. (b) Determine the particular solution corresponding to the initial tableau. (a) Set up the simplex tableau. 1 Z u 1 1 IBULUM 1 0 0 0 0 (b) Determine the particular solution corresponding to the initial tableau. 9 - 1 y 1 0 -5 x=¯‚ y =¯‚ z =¯‚ u = 146, v=, w=, M = 0. X= V 0 1 0 0 W 0 0 1 0 0 0 *** 0 230 146 0 Maximize x + 5y - 7z subject to the listed constraints. x+y+z≤ 146 7x +z≤230 9x + 13y ≤146 x20, y ≥0, z 20arrow_forwardLinear Programming: I got started on it, please follow up with my solution or give a better onearrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, IncorporatedNumerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill EducationIntroductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY
- Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,

Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated

Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education

Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY

Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,

