(A) Using slack variables, determine the initial system for the linear programming problem(B) Write the simplex tableau and identify the first pivot and the entering and exiting variables.(C) Use the simplex method to solve the problem.Maximizesubject to(A) Using slack variables, determine the initial system for the linear programming problem. Use s, for the first constraint and s2 for the second constraintFirst constraintSecond constraintObjective functionXy. Xy. By. By 20(B) Write the simplex tableau by filling in the blanks belowMB₂ P16fow.column andThe pivot element is located in theThe entering variable isThe exiting variable is(C) Use the simplex method to solve the problem. Select the correct choice below and, if necessary fill in the answer boxes to complete your choicewhenand XOA The maximum value is Pa(Type integers or simplified fractions)OB. There is no optimal solution00016P=28x₂+₂4x₁+x₂ 516A+Sky $16Time Remaini

Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Answered: (A) Using slack variables, determine…

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

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.
Hugh and his partners grow tomatoes exclusively. Although they grow many varieties, tomatoes are all that they produce for leading supermarket chains in the UK. Should they diversify into related products such as lettuce? Write a summary report, focusing on the objective function, constraints, and decision variables that are used for Linear Programming. L for box for lettuce T for box of tomato
CREATE A LINEAR PROGRAMMING PROBLEM (1 GRAPHICAL PROBLEM) <OBJECTIVE FUNCTION, STRUCTURAL CONSTRAINT, AND NO NEGATIVE CONSTRAINT> WITH A FULL SOLUTION AND FINAL ANSWER.
Formulate but do not solve the following exercise as a linear programming problem. A nutritionist at the Medical Center has been asked to prepare a special diet for certain patients. She has decided that the meals are to be prepared from Foods A and B and that the meals should contain a minimum of 390 mg of calcium, 10 mg of iron, and 40 mg of vitamin C. Each ounce of Food A contains 25 mg of calcium, 2.5 mg of iron, 2 mg of vitamin C, and 6 mg of cholesterol. Each ounce of Food B contains 25 mg of calcium, 0.5 mg of iron, 5 mg of vitamin C, and 5 mg of cholesterol. How many ounces of each type of food should be used in a meal so that the cholesterol content C (in mg) is minimized and the minimum requirements of calcium, iron, and vitamin C are met? Minimize C = subject to the constraints calcium iron vitamin C x ≥ 0 y ≥ 0
The supplies, demands, and transportation costs per unit are shown on the network. (a)Develop a linear programming model for this problem; be sure to define the variables in your model. Let x11 = amount shipped from Jefferson City to Des Moines x12 = amount shipped from Jefferson City to Kansas City x13 = amount shipped from Jefferson City to St. Louis x21 = amount shipped from Omaha to Des Moines x22 = amount shipped from Omaha to Kansas City x23 = amount shipped from Omaha to St. Louis Min ???????? s.t. From Jefferson City ?????? From Omaha ??????? To Des Moines ??????? To Kansas City ???????? To St. Louis ???????????? x11, x12, x13, x21, x22, x23 ≥ 0 (b)Solve the linear program to determine the optimal solution. Amount Cost Jefferson City–Des Moines Jefferson City–Kansas City Jefferson City–St. Louis Omaha–Des Moines Omaha–Kansas City Omaha–St. Louis Total
Formulate a linear programming problem that can be used to solve the following question. An individual needs a daily supplement of at least 380 units of vitamin C and 64 units of vitamin E and agrees to obtain this supplement by eating two foods, I and II. Each ounce of food I contains 34 units of vitamin C and 4 units of vitamin E, while each ounce of food II contains 20 units of vitamin C and also 12 units of vitamin E. The total supplement of these two foods must be at most 29 ounces. Unfortunately, food I contains 22 units of cholesterol per ounce and food II contains 32 units of cholesterol per ounce. Find the appropriate amounts of the two food supplements so that cholesterol is minimized. X = ---Select--- y = --Select--- ---Select--- | F = Subject to (objective function) (total ounces of food) (units of vitamin C) (units of vitamin E) x ---Select--- 0, y ---Select--- 0 (nonnegativity constraint)
A farmer wishes to buy some goats and cows. He has pasture for only 50 animals. Goats cost $300 each and cows $600 each. He can expect to make a profit of $250 on each goat and $350 on each cow. If he has $24000 to spend and he buys g goats and c cows, I. Formulate a linear programming model for this situation. II. Using a graph, find the numbers of goats and cows that will maximize profit. III. State the maximum profit.

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