Consider the following linear programming problem.Maximize P = 3x + 7y subject to the constraintsx + 3y ≤ 12-2x - 3y ≥ -18x ≥ 0, y ≥ 0.(a) Write the linear programming problem as a standard maximization problem.Maximizesubject toP =Need Help?x ≥ 0y 20X(b) Write the initial simplex tableau.Read It≤ 12y≤18UPConstant12180

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Answered: 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

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Use graphical methods to solve this linear programming problem. OA. The maximum value is (Simplify your answer.) OB. There is no maximum. Maximize subject to: ... What is the maximum value of z? Select the correct choice below, and if necessary, fill in the answer box to complete your choice. z = 5x + 6y 2x-3y ≤ 12 x + y24 3x + 4y ≥ 32 x20 y20 At what point(s) does the maximum value of z occur? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The maximum value of z occurs only at the point(s) OC. There is no maximum value of z. (Type an ordered pair. Use a comma to separate answers as needed.) OB. The maximum value of z occurs at the points and at all points on the line segment connecting them. (Type an ordered pair. Use a comma to separate answers as needed.)
Use the simplex method to solve the linear programming problem. Maximize z=3x, +5x2 subject to: x, -4x2 5 55 4x, - 2x2 5 33 X, 20, x2 20. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Simplify your answers.) O A. The maximum is when x1 = and x2 = O B. There is no maximum.
Write the linear programming problem as a maximization problem with all inequalities (except x>0, y≥0, ...) written in the form [linear expression] ≤ [constant]. Minimize - 6x + 5y + 6z subject to the following constraints. - 8x + 7y + 7z2 -3 6x - 4y 3z ≥ −7 x20, y ≥0, z 20 The inequality - 8x + 7y +7z2 - 3 becomes (Simplify your answer. Type an inequality. Do not factor.)
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Snack A provides 10 grams of protein and costs 2 dollars, snack B provides 6 grams of protein and costs 3 dollars. You need at least 30 grams of protein a day. Let x be the number of snack A you buy and y be the number of snack B you buy. You want to minimize cost. State the linear programming problem in mathematical terms, identifying the objective function and constraints. Do not solve the problem to completion. Just state the inequalities needed and the objective function.
Use the simplex method to solve the linear programming problem. Maximize z=2x, + 3x2 subject to: 5x, +X2 5 30 3x, + 2x, 5 50 X, + X, 540 X4, X2 20. with Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. O A. The maximum is when x, = (Simplify your answers.) and x2 = O B. There is no maximum.
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