Question: 14 Consider an LP with five basic feasible solutions and a unique optimal solution. Assume that the simplex method begins at the worst basic feasible

14 Consider an LP with five basic feasible solutions and a unique optimal solution. Assume that the simplex method begins at the worst basic feasible solution, and on each pivot the simplex is equally likely to move to any better basic feasible solution.

On the average, how many pivots will be required to find the optimal solution to the LP?

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!

Consider a Linear Programming (LP) problem with 6 basic feasible solutions including a unique optimal solution. Suppose that we use the Simplex algorithm to solve the LP problem. The Simplex...

Consider the following LP: a . Utilize the simplex method to solve the linear programming problem. Please demonstrate all steps clearly, including each iteration of the simplex method. b . Illustrate...

operation research only 2.c only C:/Users/ASUS/OneDrive/Documents/Y1T3/UDPL1043%20Operation%20Research/Assignment_udps 1043_.pdf Page view A Read aloud V Draw Highlight E 2 Your question 2 must...

3 Use the Big M method and the two-phase method to nd the optimal solution to the following LP: max z 5x1 x2 s.t. 2x1 x2 6 s.t. x1 x2 4 s.t. x1 2x2 5 x1, x2 0 4 Use the simplex algorithm to nd the...

(25 points) Consider the following LP: maxz=s.t.5x1+3x24x1+2x2124x1+x210x1+x24x1,x20 (a) Solve the LP graphically. (b) Solve the LP using the Simplex Method. (c) Identify all basic feasible solutions...

In the definition of LPP m stands for number of constraints and n for number of variables, then which of the following relations hold A. m = n B. m n C. m n D. None of them The linear function of...

Question #4: About Simplex tableaux (30 points) Consider the following simplex tableau (corresponding to a minimization problem): 2 23 1 0 0 0 T1 0 1 0 0 Table 2: Simplex tableau 22 14 25 26 -2 a B 0...

Q1. Consider the following LP: = 1 + 2 .. 1 + 2 9 21 + 2 0 1 22 0 1, 2 0 a. Solve the LP using the simplex method. b. Which of the following best describes the LP: unique optimal solution, infinite...

- Problem 4. HL 10.7-1 (a)-(c). For 9.7-1, (a), change "C + A (a reverse arc)" to "AC; change "C + B also a reverse arc to B + C. There is still degeneracy in this problem (some basic variable has...

1 [Total 50 pts] Consider the linear program named (P) below. maxs.t.30x1+12x210x1+6x24x1+8x2xj5x1+4x26030240,j 1.a [20 pts] For B=[A1,A3,A4], where A3 and A4 correspond to the columns of s1 (the...

What seven important functions does Congress perform?

How could source reduction efforts reduce the volume of waste that arises from abandoned automobiles?

If we accept the MNC s objective of minimizing the consolidated cost of capital, then _ _ _ _ _ _ _ _ _ . Which of the following statement is False? Group of answer choices the subsidiary's cost of...

Explain why it is not possible to draw any conclusions about the convergence of dx by comparing with the integral 00 J1 e-x X

Erika Entrepreneur assembles laptop computer systems in her home to finance her graduate education. She makes and sells two types of units, both using the same frame. The deluxe model has 1024...

Channel 999 TV has staff to provide onscene coverage of up to 4 high school football games this Friday. The following table shows 3 possibilities are in the town where Channel 999 is located. At...

The following table shows the unit price and the minimum quantity at which suppliers j = 1 c, 5 have to bid to supply State University (SU) with office desk chairs. SU wishes to find the lowest total...

Budgeted costs include: O a. the costs incurred two years ago. O b. the costs incurred last year. c. the planned or forecasted costs. O d. the cost of a competitor. O e. the costs incurred this year

11 ut of uestion Mr. A has just completed his first year of business with total revenue of $35,000 and expenses of $31,000. He needs your help in preparing closing entries. He invested $5,000 when he...

Troy Engines, Limited, manufactures a variety of engines for use in heavy equipment. The company has always produced all of the necessary parts for its engines, including all of the carburetors. An...