Given the following LP: Min 4x1 + 6x2 s.t 2x1 + 2x2 ≥ 3, x1 + 3x2 ≥ 2, x1 + 3x2 ≥ 0, Part A. Find its dual LP. Part B. Use graphical method or the Simplex algorithm, solve the primal LP in (1). Part C. Use graphical method or the Simplex algorithm, solve the dual LP (that you find in Part A).

Given the following LP: Min 4x1 + 6x2 s.t 2x1 + 2x2 ≥ 3, x1 + 3x2 ≥ 2, x1 + 3x2 ≥ 0, Part A. Find its dual LP. Part B. Use graphical method or the Simplex algorithm, solve the primal LP in (1). Part C. Use graphical method or the Simplex algorithm, solve the dual LP (that you find in Part A).

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section: Chapter Questions

Problem 6CC: When we divide a polynomial P(x) by a divisor D(x), the Division Algorithm tells us that we can...

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Question

Given the following LP:

Min 4_x1 + 6_x2

_s.t 2_{x1 +} 2_x2 ≥ 3,

x₁⁺3_x2≥2,

x₁⁺3_x2 ≥ 0,

Part A. Find its dual LP.

Part B. Use graphical method or the Simplex algorithm, solve the primal LP in (1).

Part C. Use graphical method or the Simplex algorithm, solve the dual LP (that you find in Part A).

Find its dual LP.

Max is 3_y1 + 2_y2

s.t 2_y1 + y2 + _y3 ≤ 4

2_y1 + 3_y2 + 3_y3 ≤ 6

_X1+ _x2 ≥ 0

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