Question: Consider the three-dimensional LP solution space in Figure 3.4, whose feasible extreme points are A, B, ... , and 1. (a) Which of the following

Consider the three-dimensional LP solution space in Figure 3.4, whose feasible extreme points are A, B, ... , and 1.
(a) Which of the following pairs of corner points cannot represent successive simplex iterations:
(A, B), (B, D), (E, H), and (A, I)? Explain the reason.
(b) Suppose that the simplex iterations start at A and that the optimum occurs at H. Indicate whether any of the following paths are not legitimate for the simplex algorithm, and state the reason.
(i) A→B→G→H.
(ii) A→E→I→H.
(iii) A→C→E→B→A→D→G→H.

Step by Step Solution

★★★★★

3.35 Rating (170 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a A B adjacent hence can be on a simplex path Remainin... 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)

448-M-S-L-P (1378).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

For the solution space in Figure 3.4, all the constraints are of the type and all the variables X1, X2, and X3 are nonnegative. Suppose that S1, S2, 3, and S4 ( 0) are the slacks associated with...

Consider the two-dimensional solution space in Figure 3.6. (a) Suppose that the objective function is given as Maximize z = 3x1 + 6x2 If the simplex iteration start at point A, identify the path to...

Consider the graphical solution space in Figure 3.8. Suppose that the simplex iterations start at A and that the optimum solution occurs at D. Further, assume that the objective function is defined...

*3. Consider the three-dimensional LP solution space in Figure 3.4, whose feasible extreme points are A, B, ... , and 1. (a) Which of the following pairs of corner points cannot represent successive...

Consider the three-dimensional LP solution space in Figure 3.16, whose feasible extreme points are A, B, . . . , and J. (a) Which of the following pairs of corner points cannot represent successive...

* 3 - 1 8 . Consider the three - dimensional LP solution space in Figure 3 . 1 7 whose feasible extreme points are A , B , dots, and J . Figure 3 . 1 7 Solution space of Problem 3 - 1 8 ( a ) Which...

1: Consider the three-dimensional LP solution space in Figure below, whose feasible extreme points are A, B, . . . , J . All the constraints are of the type leq and all the variables x1, x2, and, x3...

3) Consider the three-dimensional LP solution space in gure 3.4 (on page 78 of textbook), Whose feasible extreme points are A, B, ..., and J. 21) Which of the following pairs of corner points cannot...

Consider the three-dimensional LP solution space shown below, whose feasible extreme points are A, B, . cannot represent successive simplex iterations? and J. Which of the following pairs of corner...

estion 3 yet Consider the three-dimensional LP solution space shown below, whose feasible extreme points are A, B, ..., and J. Which of the following pairs of corner points cannot represent...

The correlation between Age and Income as measured on 100 people is r = 0.75. Explain whether or not each of these possible conclusions is justified: a) When Age increases, Income increases as well....

Choose the end behavior of the graph of each polynomial function. 3 (a) f(x)=x-8x - 9x - 31 2 (b) f(x) = 4x-x-3x - 9 (c) r(x) = $x(2x s)? 0 0 0 0 OOOO 0000 Falls to the left and rises to the right...

Write and discuss any two advanced recovery techniques and their uses. (10 M)

When stock is issued, assets go _______ , liabilities _______ , and capital _______ .

Consider an LP in which the variable x k is unrestricted in sign. Prove that by substituting x k = x k x k + , where xk and x k + are nonnegative, it is impossible that the two variables replace...

An LP model includes two variables x 1 and x 2 and three constraints of the type . The associated slacks are x 3 , x 4 , and x 5 . Suppose that the optimal basis is B = (P 1 , P 2 , P 3 ), and its...

(a) Prove that if z j c j > 0 (

The problem is answered in Chegg but no work was shown, could you please show how you got the answer??? Start with the partial model in the file Ch07 P22 Build a Model.xls on the textbooks Web site....

Peter La Fleur is the sole proprietor of La Fleur Enterprises. He is exploring the option of going public because his company is growing exponentially. The consulting firm that is reviewing his...

When Patrick died he owned a $3,000,000 residence with his spouse, Patricia, as tenants by the entirety. His spouse, Patricia, paid all of the original $2,250,000 cost to purchase the home. Patrick...