Using the artificial constraint procedure introduced in Problem 4 37, solve the following problems by the dual simplex method In each case, indicate whether the resulting solution is feasible, infeasible, or unbounded (a) Maximize z 2x3 subject to x1 2x2 2x3 4 x1 x2 x3 2 2x1 x2 4x3 5 x1, x2, x3 0 (b) Maximize z x1 3x2 subject to x1 x2 20 x1 x2 40 2x1 2x2 30 x1, x2 0 (c) Minimize z x1 x2 subject to x1 4x2 5 x1 3x2 1 2x1 5x2 1 x1, x2 0 (d) Maximize z 2x3 subject to x1 3x2 7x3 50 x1 x2 x3 10 3x1 x2 10x3 80 x1, x2, x3 0

The Answer is in the image, click to view ...

Question: Using the artificial constraint procedure introduced in Problem 4-37, solve the following problems by the dual simplex method. In each case, indicate whether the resulting

Using the artificial constraint procedure introduced in Problem 4-37, solve the following problems by the dual simplex method. In each case, indicate whether the resulting solution is feasible, infeasible, or unbounded.

(a) Maximize z = 2x3 subject to

-x1 + 2x2 - 2x3 Ú 4

-x1 + x2 + x3 … 2 2x1 - x2 + 4x3 … 5 x1, x2, x3 Ú 0

(b) Maximize z = x1 - 3x2 subject to x1 - x2 … 20 x1 + x2 Ú 40 2x1 - 2x2 Ú 30 x1, x2 Ú 0

(c) Minimize z = -x1 + x2 subject to x1 - 4x2 Ú 5 x1 - 3x2 … 1 2x1 - 5x2 Ú 1 x1, x2 Ú 0

(d) Maximize z = 2x3 subject to -x1 + 3x2 - 7x3 Ú 50 -x1 + x2 - x3 … 10 3x1 + x2 - 10x3 … 80 x1, x2, x3 Ú 0

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Operations Research An Introduction Questions!

Using the artificial constraint procedure introduced in Problem 3, solve the following problem by the dual simplex method. In each case, indicate whether the resulting solution is feasible,...

problem. 4-38. Using the artificial constraint procedure introduced in Problem 4-37, solve the following problems by the dual simplex method. In each case, indicate whether the resulting solu- tion...

4 - 3 8 . Using the artificial constraint procedure introduced in Problem 4 - 3 7 , solve the following problems by the dual simplex method. In each case, indicate whether the resulting solution is...

4. Using the artificial constraint procedure introduced in Problem 3, solve the following problems by the dual simplex method. In each case, indicate whether the resulting solution is feasible,...

please solve these problems.. True (T) or False (F)? 1 If the standard LP primal is minimization, the dual is maximization with s constraints and unrestricted variables. 2 The primal problem nust...

The objective function can be maximization or minimization. The LP must have at least three decision variables. The LP must have at least three constraints. a) Solve the LP you create by using the...

I really can't solve and these questions are connected to each other so please help as much as you can! It's also for my learning. Thanks for your effort! The objective function can be maximization...

Consider the following linear programming problem P : Maximize z = 6 x 1 + 4 x 2 Subject to x 1 + x 2 8 (1) 2 x 1 -2 x 2 8 (2) x 1 - x 2 2 (3) ____________________________________ x 1 0 x 2...

Problem 2 ( 7 5 points ) Consider the following linear programming problem \ ( P \ ) . Let the surplus of constraint ( 1 ) and ( 2 ) be \ ( x _ { 3 } \ ) and \ ( x _ { 4 } \ ) , respectively, and the...

Problem 2 ( 7 5 points ) Consider the following linear programming problem P . Minimize Z = , x 1 , - 2 x 2 Subject t o x 1 + x 2 2 - x 1 + x 2 1 x 2 3 x 2 , 0 x I unconstrained i n sign Let the...

Using numbers, explain how a market demand curve is derived from two individual demand curves.

You are CEO of AMD, maker of high-performance graphic cards for gaming computers. You are considering whether to launch a new product. See the cash flows every year below. Total CF 0 -895000 1 261450...

ans In light sources that utilize electrical gas discharge, like in neon signs, the emitted light is composed of discrete colors rather than the full spectrum (such as in sunlight). Even though the...

Marta Ferreira is a hard-working and very talented investment adviser. Until recently, she worked for Globo Finance Inc, one the leading companies in the field. She earned approximately $750 000 a...