EXERCISESConsider the following linear programming problem.maximize z = 4x1 + 3x2subject to-X + x2 s 62x, + x2 s 20X + x2 s 12X1, x2 2 0(a) Solve this problem graphically.(b) Solve this problem by the algebraic simplex method described in Example 4.1,and at each iteration, identify the corresponding extreme-point solution on thegraph.(c) Identify the basic variables, the nonbasic variables, and the basis matrix B ateach iteration.

Answered: Image /qna-images/answer/ee4f94ee-b143-449c-99e9-4a3d34b5f8cd.jpg

Answered: 4.1. Consider the following linear…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

An 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…
Solve the following linear programming problem. You are taking two dietary supplements daily: Supplement A and Supplement B. An ounce of supplement A contains 9 units of calcium, 8 units of vitamin D, and 5 units of sodium. An ounce of supplement B contains 2 units of calcium, 4 units of vitamin D, and 3 units of sodium. Your goal is to get at least 90 units of calcium and at least 120 units of vitamin D from the supplements daily, while at the same time reducing the amount of sodium that you will get. How many ounces of each supplement should you take daily to reach your goals? Ounces of Supplement A = Blank 1. Fill in the blank, read surrounding text. Ounces of Supplement B = Blank 2. Fill in the blank, read surrounding text. How many units of sodium will you get daily under these circumstances? Units of Sodium = Blank 3. Fill in the blank, read surrounding text.
Solve the following linear program using the simplex method: (a) (b) (c) (d) maximize: subject to: minimize: subject to: minimize: subject to: 7x1 + 8x2 4x1 + x2 ≤ 100 x1 + x2 0 x1 + 2x2 x1 + 3x2 ≥ 11 2x1 + x2 > 9 x1 and x₂ > 0 2x1 + 3x2 + 4x3 x1 + x2 + x3 ≤ 1 x1 + x2 + 2x3 = 2 3x12x2 + x3 ≥ 4 x1, x2 and x3 ≥ 0 maximize: 2x1 + x2 subject to: 0 ≤ x ≤ 5 0 ≤ x₂ ≤7 x1 + x2 < 90
c. 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?
Solve the following linear programming problem. STEPS PLEASE Maximize P = 4x + 5y Subject to: 2x - 4y ≤ 10 2x + and ≥ 15 x, y ≥ 0
I have To use the simplex method of linear programming and answer with the ratio of row 1 and 2 and the simplex tableau maximize M=4x+2y subject to 5x+y<(or equal to) 80 3x+2y< (or equal to) 76 x> (or equal to) 0 y> (or equal to) 0
A and B can do a piece of work in 12 days; B and C can do it in 15 days while C and A can finish it in 20 days. In how many days will A,B,C finish it, working togeteher? In hpw many days will each one of them finish it, working alone?
Solve the linear programming problem by the simplex method. Maximize 40x + 30y subject to the following constraints. X + y ≤ 7 + 3y = 12 yz0 - 2x x=0, The maximum value of M is which is attained for x = and y =
With the two variables unrestricted,write the program in standard form and then use simplex method to solve the resulting problem. Question is attached below;
answer a to c

Recommended textbooks for you

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

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,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS