Question: Consider the following problem. Maximize Z = 2x1 + 7x2 3x3, Subject to and x1 ¥ 0, x2 ¥ 0, x3 ¥ 0. By letting

Consider the following problem.
Maximize Z = 2x1 + 7x2 €“ 3x3,
Subject to

and
x1 ‰¥ 0, x2 ‰¥ 0, x3 ‰¥ 0.
By letting x4 and x5 be the slack variables for the respective constraints, the simplex method yields the following final set of equations:

32 43 30 Xi + 4x2- X3 10 +2r20 -x2 + 5x3 +x4- xs = 20

Step by Step Solution

★★★★★

3.27 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a The current basic solution is superoptimal but infeasible b ... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

545-M-S-L-P (493).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Consider the following problem. Maximize Z = 2x1 + 4x2 + 3x3, subject to and x1 0, x2 0, x3 0. You are given the information that x 1 > 0, x 2 = 0, and x 3 = 0 in the optimal solution. (a)...

Consider the following problem. Maximize Z = 2x1 + x2, Subject to and x1 0, x2 0. (a) Solve this problem graphically in a freehand manner. Also identify all the CPF solutions. (b) Now use IOR...

Consider the following problem. Maximize Z = 2x1 + 4x2 + 3x3, Subject to and x1 ¥ 0, x2 ¥ 0, x3 ¥ 0. (a) Work through the simplex method step by step in algebraic form. (b) Work through...

DI 7.2-4. Consider the following problem. Maximize Z = 2x1 + 7x2 3x3, subject to X1 + 3x2 + 4x3 = 30 x1 + 4x2 x3 = 10 and X1 20 x2 = 0, X3 20. By letting x4 and x5 be the slack variables for the...

Consider the following problem. Maximize Z= 2x1 + 7X2 - 3X3, subject to Xy + 3x2 + 4xz s 30 Xy + 4x2 - X3 s 10 and X1 s 0, X220, X3 20. By letting X4 and X, be the slack variables for the respective...

Problem 3: D.1 7.2-4. Consider the following problem. Maximize Z = 2x, + 7x2 - 3x3. subject to x, + 3x2 + 4x3 $ 30 x, + 4x2 - X3 5 10 and x1 20, 12 20. x3 20. By letting x, and x's be the slack...

Consider the following problem. Maximize Z = x1 7x2 + 3x3 subject to 2x1 + x2 x3 4 4x1 3x2 2 3x1 +2x2 +x3 3 x1,x2,x3 0 (a) Work through the simplex method step by step to solve the problem. (b)...

5. Consider the following problem Maximize Z = 2x1 - 2x2 + 3x3, subject to -X1 + x2 + x3 = 4 2x1 - x2 + x3 = 2 X1 2-4 and x2 > 0 (no negativity constraint for x3) Reformulate this problem so that is...

(a) Consider a three-stage communication system comprised of punt amplifiers and one filter with an input power of P in = 0.05mW and absolute power gains of Ant = 100, A p1 = 100 and A p 2 =...

Consider the following problem. Maximize Z = 2x1 + 5x2 + 3x3, subject to x1 - 2x2 + x3 20 2x1 + 4x2 + x3 = 50 and x1 0, x2 0, x3 0. (a) Using the Big M method, construct the complete first simplex...

On March 1, the project manager received three status reports indicating resource utilization to date. Shown below are the three reports as well as the PERT diagram. a. As of the end of week 4, how...

Horak Company produces one product, a putter called GO-Putter. Horak uses a standard cost system and determines that it should take one hour of direct labor to produce one GO-Putter. The normal...

A public offer by one firm to directly buy the shares of another firm is called a: Question 1 0 Select one: a . Merger b . Consolidation c . Tender offer d . Spinoff

How was the mail associated with this factual situation?

The Hit-and-Miss Manufacturing Company produces items that have a probability p of being defective. These items are produced in lots of

Past experience indicates that p for an entire lot is either 0.05 or 0.25. Furthermore, in 80 percent of the lots produced, p equals 0.05 (so p equals 0.25 in 20 percent of the lots). These items are...

Consider two weighted coins. Coin 1 has a probability of 0.3 of turning up heads, and coin 2 has a probability of 0.6 of turning up heads. A coin is tossed once; the probability that coin 1 is tossed...

\fA regional express delivery service company recently conducted a study to investigate the relationship between the cost of shipping a package (Y), the package weight (X1), and the distance shipped...

To investigate whether or not people tend to marry spouses of similar ages or whether husbands tend to be older than their wives, a student gathered age data from a sample of 24 couples, taken from...

[YOU SHOULD USE EXCEL TO CHECK YOUR CALCULATIONS] A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund,...