Question

In: Advanced Math

Problem 4: Consider the tabulated standard-form LP starting with X1 and X2 basic. Please apply the...

Problem 4: Consider the tabulated standard-form LP starting with X1 and X2 basic. Please apply the revised simplex method and solve the LP.

Note: in each iteration determine Matrix A, B, E, V, C, and the improving direction!

X1

X2

X3

X4

X5

Min C

5

4

3

2

16

b

A

2

0

1

0

6

8

0

1

1

2

3

12

Solutions

Expert Solution


Related Solutions

You are given the following LP model in algebraic form, with x1 and x2 as the...
You are given the following LP model in algebraic form, with x1 and x2 as the decision variables: Minimize Cost = 40x1 + 50x2 Subject to                 Constraint 1: 2x1 + 3x2 >= 30,                 Constraint 2: x1 + x2 >= 12,                 Constraint 3: 2x1 + x2 >= 20, and x1 >=0, x2 >= 0. Use the graphical method to solve this model. How does the optimal solution change if the objective function is changed to Cost = 40x1...
consider the following LP a. put the problem into standard form, using slack, excess, and artificial...
consider the following LP a. put the problem into standard form, using slack, excess, and artificial variables b. solve the associated LP of phase I c. is w'=0, proceed to phase 2 and solve the original LP. show all of the work. max z=x1-x2+3x3 S.T. x1+x2<=20 x2+x3>=10 x1+x3=5 x1,x2>=0
Consider the problem   maximize   Z = 5 x1 + 3 x2 + 2 x3 + 4...
Consider the problem   maximize   Z = 5 x1 + 3 x2 + 2 x3 + 4 x4        subject to                       5 x1 + x2 + x3 + 8 x4 = 10                       2 x1 + 4 x2 + 3 x3 + 2 x4 = 10                                     X j > 0, j=1,2,3,4 (a) Make the necessary row reductions to have the tableau ready for iteration 0. On this tableau identify the corresponding initial (artificial) basic feasible solution. Also, identify the initial entering and...
Consider the following linear programming problem. min −x1 + 4x2 subject to: • x1 + x2...
Consider the following linear programming problem. min −x1 + 4x2 subject to: • x1 + x2 ≥ 1 • 3x1 + x2 ≤ .5 • x1, x2 ≥ 0 Formulate the dual of this problem.
Solve the following LP problem using graphical solution method. MAX: 5 X1 + 3 X2 Subject...
Solve the following LP problem using graphical solution method. MAX: 5 X1 + 3 X2 Subject to: 2 X1 − 1 X2 ≤ 2 6 X1 + 6 X2 ≥ 12 1 X1 + 3 X2 ≤ 5 X1, X2 ≥ 0
Consider a sequence of random variables X0, X1, X2, X3, . . . which form a...
Consider a sequence of random variables X0, X1, X2, X3, . . . which form a Markov chain. (a) Define the Markov property for this Markov chain both in words and using a mathematical formula. (b) When is a Markov chain irreducible? (c) Give the definition for an ergodic state.
Consider the following three consumption bundles (X1,X2)=(10,10) ; (X1,X2)=(15,10) ; (X1,X2)=(3000,8).
Answer each of the following statements True/False/Uncertain. Give a full explanation of your answer including graphs where appropriate. (When in doubt, always include a fully labeled graph.)A) Consider the following three consumption bundles (X1,X2)=(10,10) ; (X1,X2)=(15,10) ; (X1,X2)=(3000,8). Non-satiation implies that (15,10) is preferred to (10,10) but does not imply that (3000,8) is preferred to (10,10).B) It is not theoretically possible for two indifference curves to cross if the preference relations they are based on satisfy the assumptions of completeness,...
consider the linear programming problem maximize z = x1 +x2 subjected tp x1 + 3x2 >=...
consider the linear programming problem maximize z = x1 +x2 subjected tp x1 + 3x2 >= 15 2x1 + x2 >= 10 x1 + 2x2 <=40 3x1 + x2 <= 60 x1 >= 0, x2>= 0 solve using the revised simplex method and comment on any special charateristics of the optimal soultion. sketch the feasible region for the problem as stated above and show on the figure the solutions at the various iterations
Find the Dual of the following LP max z = 4x1 − x2 + 2x3 x1...
Find the Dual of the following LP max z = 4x1 − x2 + 2x3 x1 + x2 ≤ 5 2x1 + x2 ≤ 7 2x2 + x3 ≥ 6 x1 + x3 = 4 x1 ≥ 0, x2, x3 free
Consider the following linear programming problem Maximize $1 X1 + $2 X2 Subject To 2 X1...
Consider the following linear programming problem Maximize $1 X1 + $2 X2 Subject To 2 X1 + X2 ≤ 8 Constraint A X1 + X2 ≤ 5 Constraint B X1, X2 ≥ 0 Constraint C Note: Report two digits after the decimal point. Do NOT use thousands-separators (,) 1 - Which of the following is the correct standard maximization form for the above linear programming problem AnswerCorrectNot Correct AnswerCorrectNot Correct AnswerCorrectNot Correct AnswerCorrectNot Correct Z -X1 - 2 X2 =...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT