Homework Answers
Add Answer to:
For the grven simplex tableau, (a) list the basic and the nonbasic variables, (b) find2%12z the b...
For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic feasible solution determined by setting the nonbasic variables equal to 0, and (c) decide wh...
For the given simplex tableau, (a) list the basic and the nonbasic variables, (b) find the basic feasible solution determined by setting the nonbasic variables equal to 0, and (c) decide whether this is a maximum solution. x 1x1 x 2x2 x 3x3 s 1s1 s 2s2 zz 77 00 22 negative 1−1 11 00 2525 22 11 00 negative 3−3 00 00 1818 negative 8−8 00 negative 2−2 negative 1−1 00 11 1111 (a) What are the basic variables?...
The following simplex tableau is in final form. Find the basic feasible solution to the linear...
The following simplex tableau is in final form. Find the basic feasible solution to the linear programming problem associated with this tableau. 12 y 24 WP Constant 0 1/2 0 1 -1/2 0 0 To 1/4 1 0 5/4 -1/2 0 11 1 1/4 0 0 -3/4 1/2 0 LO 13 0 0 4 1/2 1
9.Write the solution that can be read from the simplex tableau below 15 0 0 6...
9.Write the solution that can be read from the simplex tableau below 15 0 0 6 4 1 0 7 0 14 0 26 -1 0 28 33 0 2 -2 0 9 81 |33 0 -27 8 0 02 x0, x 15, x, 0, s, 0, s, 28, s) 81, z 2 2 15 , 81 15, 82-4, s3 9,z 1 ,220, r3 O x, 3, x 0, x, 0, s, 0, s 4, s,9, z 1 O x,...
24. Read the solution from the following simplex tableau where the x are variables of the...
24. Read the solution from the following simplex tableau where the x are variables of the program and the s, are the slack variables 5 0 36 0 12 0 1 1 3 2 1 0 1 |-1 0 -2 0 0 1 O x, 0, x = 4, x 0, s, 36, s, 0, z 0 x, 36/5, x 4, xy 0, s, 36, s, 12, z 0 x,0, x 12, x 0, s, 36, s,0, z 0 O...
1) Consider the simplex tableau obtained after a few iterations: RHS Basic 1 1/4 5/8 57/4 57/4 0 ...
1) Consider the simplex tableau obtained after a few iterations: RHS Basic 1 1/4 5/8 57/4 57/4 0 01/4 1 1/8 /2 14 3/2 1/4 1/8 5/8 0 a) (10pts) We do not know the original problem, but is given that x and xs are the slack variables for the first and second constraints respectively. The initial basis was constructed as хв=fu xs] and after several simplex tableau iter tions the optimal basis is determined as x [x, x]. From...
UESTION 2 (TOTAL 13 MARKS a. Given the following initial simplex tableau 12 0 Sol asis CB 80 15 20 250 20 12 i. What va...
UESTION 2 (TOTAL 13 MARKS a. Given the following initial simplex tableau 12 0 Sol asis CB 80 15 20 250 20 12 i. What variables form the basis? (1 mark) ii. What are the current values of the decision variables? (1 mark) iii. What is the current value of the objective function? (1 mark) iv. Which variable will be made positive next, and what will its value be? Which variable that is currently positive will become 0? (2 marks)...
2. Consider the linear programm (a) Fill in the initial tableau below in order to start...
2. Consider the linear programm (a) Fill in the initial tableau below in order to start the Big-M Method tableau by performing one pivot operation. (6) The first tableau below is the tableau just before the optimal tableau, and the second one oorresponds to the optimal tableau. Fill in the missing entries for the second one. 1 7 56 M15 25 01 3/2 2 0 0 1/2 0 15/2 #310 0 5/2-1 o 1-1/2 0133/2 a1 a rhs (i) Exhibit...
Question 2 (10 marks) A sudden strike in an airline company has left its fleet of 30 jumbo jets in three cities as follows: 8 in city A, 9 in city B, and 13 in city C. An early settlement of the...
Question 2 (10 marks) A sudden strike in an airline company has left its fleet of 30 jumbo jets in three cities as follows: 8 in city A, 9 in city B, and 13 in city C. An early settlement of the dispute is expected and to start the operations afresh, the aircraft will be required at cities D, E, F, and G as follows: 3 in city D, 9 in city E, 8 in city F, and 10 in...
Q4. (Sensitivity Analysis: Adding a new constraint) (3 marks) Consider the following LP max z= 6x1+x2 s.t.xi + x2 S5 2x1 + x2 s6 with the following final optimal Simplex tableau basis x1 r2 S2 rhs 0...
Q4. (Sensitivity Analysis: Adding a new constraint) (3 marks) Consider the following LP max z= 6x1+x2 s.t.xi + x2 S5 2x1 + x2 s6 with the following final optimal Simplex tableau basis x1 r2 S2 rhs 0 0 18 0.5 0.5 0.5 0.5 x1 where sı and s2 are the slack variables in the first and second constraints, respectively (a) Please find the optimal solution if we add the new constraint 3x1 + x2 S 10 into the LP (b)...
6 Proof of the dual theorem Proof: We will assume that the primal LP is in canonical form Maximiz...
please explain it to me clearly
6 Proof of the dual theorem Proof: We will assume that the primal LP is in canonical form Maximize Zr, such that Arb 20 12 Its dual is Minimize W·ry, such that ATy c (no sign constraints on y). Step 1: Suppose xB is the basic variables in the optimal BFS (say r*) f follows from the above discussion that Row (0) of the optimal tableau will be the Prianal LP. It Basic VariableRow2...
The following simplex tableau is in final form. Find the basic feasible solution to the linear programming problem associated with this tableau. 12 y 24 WP Constant 0 1/2 0 1 -1/2 0 0 To 1/4 1 0 5/4 -1/2 0 11 1 1/4 0 0 -3/4 1/2 0 LO 13 0 0 4 1/2 1
9.Write the solution that can be read from the simplex tableau below 15 0 0 6 4 1 0 7 0 14 0 26 -1 0 28 33 0 2 -2 0 9 81 |33 0 -27 8 0 02 x0, x 15, x, 0, s, 0, s, 28, s) 81, z 2 2 15 , 81 15, 82-4, s3 9,z 1 ,220, r3 O x, 3, x 0, x, 0, s, 0, s 4, s,9, z 1 O x,...
24. Read the solution from the following simplex tableau where the x are variables of the program and the s, are the slack variables 5 0 36 0 12 0 1 1 3 2 1 0 1 |-1 0 -2 0 0 1 O x, 0, x = 4, x 0, s, 36, s, 0, z 0 x, 36/5, x 4, xy 0, s, 36, s, 12, z 0 x,0, x 12, x 0, s, 36, s,0, z 0 O...
1) Consider the simplex tableau obtained after a few iterations: RHS Basic 1 1/4 5/8 57/4 57/4 0 01/4 1 1/8 /2 14 3/2 1/4 1/8 5/8 0 a) (10pts) We do not know the original problem, but is given that x and xs are the slack variables for the first and second constraints respectively. The initial basis was constructed as хв=fu xs] and after several simplex tableau iter tions the optimal basis is determined as x [x, x]. From...
UESTION 2 (TOTAL 13 MARKS a. Given the following initial simplex tableau 12 0 Sol asis CB 80 15 20 250 20 12 i. What variables form the basis? (1 mark) ii. What are the current values of the decision variables? (1 mark) iii. What is the current value of the objective function? (1 mark) iv. Which variable will be made positive next, and what will its value be? Which variable that is currently positive will become 0? (2 marks)...
2. Consider the linear programm (a) Fill in the initial tableau below in order to start the Big-M Method tableau by performing one pivot operation. (6) The first tableau below is the tableau just before the optimal tableau, and the second one oorresponds to the optimal tableau. Fill in the missing entries for the second one. 1 7 56 M15 25 01 3/2 2 0 0 1/2 0 15/2 #310 0 5/2-1 o 1-1/2 0133/2 a1 a rhs (i) Exhibit...
Question 2 (10 marks) A sudden strike in an airline company has left its fleet of 30 jumbo jets in three cities as follows: 8 in city A, 9 in city B, and 13 in city C. An early settlement of the dispute is expected and to start the operations afresh, the aircraft will be required at cities D, E, F, and G as follows: 3 in city D, 9 in city E, 8 in city F, and 10 in...
Q4. (Sensitivity Analysis: Adding a new constraint) (3 marks) Consider the following LP max z= 6x1+x2 s.t.xi + x2 S5 2x1 + x2 s6 with the following final optimal Simplex tableau basis x1 r2 S2 rhs 0 0 18 0.5 0.5 0.5 0.5 x1 where sı and s2 are the slack variables in the first and second constraints, respectively (a) Please find the optimal solution if we add the new constraint 3x1 + x2 S 10 into the LP (b)...
please explain it to me clearly
6 Proof of the dual theorem Proof: We will assume that the primal LP is in canonical form Maximize Zr, such that Arb 20 12 Its dual is Minimize W·ry, such that ATy c (no sign constraints on y). Step 1: Suppose xB is the basic variables in the optimal BFS (say r*) f follows from the above discussion that Row (0) of the optimal tableau will be the Prianal LP. It Basic VariableRow2...
Most questions answered within 3 hours.
-
The average length of time between arrivals at a turnpike
toll-booth is 26 seconds. What is...
asked 50 minutes ago -
(a) A piston at 6.1 atm contains a gas that occupies a volume of
3.5 L....
asked 2 hours ago -
Please answer true or false. Words
cannot be changed or added in to make it true...
asked 2 hours ago -
An empty test tube weighs 15.923 grams. Then,
MgCl2•6H2O is added into the test tube. After...
asked 2 hours ago -
Assume memory access is 10 units of time and disk access is
10000 units of time....
asked 2 hours ago -
1. Are all good samples random?
2. Magazines often report surveys giving statistics such as “63%...
asked 2 hours ago -
Under all the various types of market structures, firms
must eventually earn some economic profits for...
asked 2 hours ago -
Consider the following fitness regime for a single locus trait
with two co-dominant alleles: w11 =...
asked 2 hours ago -
A large cable company reports the following.
80% of its customers subscribe to its cable TV...
asked 2 hours ago -
Please answer the question in brief.
Discuss the role of ERP in organizations. Are ERP tools...
asked 2 hours ago -
Discuss the pros and cons of collaborative software such
as SameTime. Does it increase productivity? What...
asked 2 hours ago -
Buying your in-laws a gift because it’s expected is
due to the ____________ motive of gift-giving....
asked 2 hours ago