↓Save(A) Introduce slack, surplus, and artificial variables andform the modified problem.(B) Write the preliminary simplex tableau for the modifiedproblem and find the initial simplex tableau.(C) Find the optimal solution of the modified problem byapplying the simplex method to the initial simplex tableau.(D) Find the optimal solution of the original problem, if itexists.subject toMaximizeP= 3x1 +5x22x1 + x2 524x1 + x2 = 18X1, X220(A) Introduce slack, surplus, and artificial variables and form the modified problem.Maximize P=3x1 +5x2-Msubject to2x1 + x2+= 24x1 + x2 += 18X1, X2, S1, a1 20xampleGet more help -Clear allCheck answer

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Answered: ↓ Save (A) Introduce slack, surplus,…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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The Hampshire Chemical Company must produce exactly 1,000 pounds of a special mixture of phosphate and potassium for a customer. Phosphate costs £5 per pound and potassium costs £6 per pound. No more than 300 pounds of phosphate can be used, and at least 150 pounds of potassium must be used. The problem is to determine the least-cost blend of the two ingredients. (i) Formulate the problem with a linear programming model. (ii) Solve for the optimal solution by using the simplex method. (iii) How can you detect the presence of alternative optimal solutions from the final simplex tableau?
In solving maximization problem using simplex method, the optimum column is obtained by getting the column with A. smallest positive value in the Cj - Zj row variables. B. the largest positive value in the Cj - Zj row. C. zero value in the Cj - Zj row. D. the largest negative value in the Cj - Zj row.
M3
Determine whether the following statement is true or false, and explain why. A surplus variable of a linear programming problem can never have a negative value during the intermediate steps of the simplex method. Choose the correct answer below. O A. The statement is true. A surplus variable always has a positive value during every step of the simplex method, including intermediate steps. B. The statement is false. A surplus variable cannot have a negative value at the beginning or end of the simplex method. It almost always has a negative value during at least some of the intermediate steps. C. The statement is true. A surplus variable can never have a negative value during any step of the simplex method, including intermediate steps. D. The statement is false. A surplus variable cannot have a negative value at the beginning or end of the simplex method. It may have a negative value during an intermediate step.
Hey I was Hoping if i could get some help with this question. Identify The variables X and Y: Find the objective Function: Graph The Constraints: Identify The vertices of the feasible region and their value
Construction and building inspectors ensure that construction meets local and national buillding codes and ordinances, zoning regulations, and contract specifications. They spend considerable time inspecting worksites, alone or as part of a team. Most work full time during regular business hours. Many states and local jurisdictions require some type of license or certification. The median annual wage was $56,040 in May 2014. SOURCE: Bureau of Labor and Statistics, U.S. Department of Labor, Occupational Outlook Handbook, 2016 - 2017 Edition E, Construction and Building Inspectors A wheelchalir ramp with a length of 614 Inches has a horizontal distance of 610 Inches. What is the ramp's vertical distance (height)? inches State your response to the nearest 0. 1 Construction laws are very specific when it comes to access ramps for the disabled. Every vertical rise of 1 inch requires a horizontal run of at least 12 inches. Does the ramp above satisfy the requirement? O Yes O No
Write the transportation problem as a linear programming problem in terms and solvent of x and y and solve. (Indicate the number of units that should be transported from each factory to each depot and the total transportation cost.)
CREATE A LINEAR PROGRAMMING PROBLEM (1 GRAPHICAL PROBLEM) <OBJECTIVE FUNCTION, STRUCTURAL CONSTRAINT, AND NO NEGATIVE CONSTRAINT> WITH A FULL SOLUTION AND FINAL ANSWER.
Solve the linear programming problem by the simplex method. Minimize 5x + y subject to the constraints shown on the right. The minimum value of Mis (Type integers or fractions.) which is attained for x = and y = x + y2 3 4x ≥ 11 x20, y20
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Solve the linear programming problem using the simplex method. Maximize P = -x₁ + 2x₂ subject to x₁ + x₂ ≤2 -X₁ + 3x₂ ≤18 X₁-4x2 ≤8 X₁, X₂ 20 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The maximum value of P is P= (Simplify your answers.) OB. There is no optimal solution. when x₁ = *** and X₂=

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