Solve the following linear programming problem, using the Simplex Method.maximize P= 4x + 6yobjectivesubject tox + 2y ≤ 62x + y ≤ 4x 20, y 20The maximum value of P isand occurs at (x, y) =

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Answered: Solve the following linear programming…

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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Solve the following linear programming problem, using the Simplex Method. maximize P= 45x + 6y objective subject to 3x - 6y s 9 The maximum value of Pis 2x + 8y $14 x ≥ 0, y 20 X and occurs at (x, y) -(0 x
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Solve the linear programming problem using the simplex method. 5x1 +X2 <70 3x1 +2x2 s90 Maximize z= 2x, + 3x2 subject to %3D X1 + X2 5 80 X1, X2 2 0. .... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum is z = when x1 = , X2 =, s1 = . $2 , and s3 = %3D O B. There is no maximum solution for this linear programming problem.
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2. Consider the function y(x) = 5x over the interval [0, 10]. (a) If the points A(0, y(0)), B(5, y(5)), and C(10, y(10)) are on the curve represented by the above function, find the slope of the lines (secants) AB, and AC, respectively. (b) If x represents time and y represents the displacement of a particle moving along a line, what is the physical meaning of your results to part (a)? (c) Now consider a point D(10 – h, y(10 – h)) on the curve represented by the given function, find the slope of the line DC. (d) As h → 0, what is the limiting value of your result to part (c)? (e) What is its physical meaning of your result to part (d) if again x represents time and y represents the displacement?
Maximize: z= 2x, + X2 Use the simplex method to solve the linear programming problem. X1 + 4x2 s 12 2x, + 6x2 s 4 subject to: X1 + X2 s 4 with x, 20, x, 2 0. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The maximum is when x, = X2 S1 S, = and s3 = O B. There is no maximum solution to this linear programming problem.
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Solve the following linear programming problem, using the Simplex Method. maximize P= 4x + 6y objective subject to x + 2y ≤ 6 2x+y s4 x 20, y 20 The maximum value of P is and occurs at (x, y) =