Q2. Consider a particular iteration stage of a LPP in simplex method. Complete the entire iteration tableau next to this tableau. Find the maximum value of the objective function and the optimal solutions. Cj 2 5 8 Basic variables X1 Cbi X2 X3 s1 $2 $3 Solution 2 5/2 -3/2 O 36 s1 X3 1 1/4 1 1/4 O 10 $3 3 5/2 - 1/2 1 40 |zj |Cj-Zj

Q: Consider the following linear program:            Max Z = -4x1 + 2x2 Subject To: -2x1 + 2x2 ≤ 7…

A: We have: Max Z=-4x1+2x2Subject to-2x1+2x2≤7x1≥2x1-4x2≤02x1+2x2≥10x1, x2≥0 Part(a) If the constraint…

Q: Q3: If you replaced the coefficients of x1, x2, and x3 by 50, 20, 10 What is your final report of…

A: We have the following optimization problem : Max Z : -150x1 + 110x2 + 280x3 s.t : x3 ≤ 20 x1 ≥ 80…

Q: Solve the following problems with the two-phase simplex method. For each problem, show your solution…

A: We need to solve the following LPP by 2 phase method. MAX Z = 7w1 - 9w2 + 4w3 subject tow1 - 18w2…

Q: Q2. Consider a particular iteration stage of a LPP in simplex method. Complete the entire iteration…

A: Using Excel,

Q: Consider the following linear program (LP): minimize -2x1 + x2 subject to + x2 X3 = 3 X1 + x2 + X4…

A: Given minimize   -2x1+x2subject to x1+x2-x3=3                  x1+x2+x4=6…

Q: 7.Finish this simplex method table and what is the optimal Z? Basic 10 12 7 Cj Variables Quantity X2…

A:

Q: 2. Consider the following linear programming problem. Maximize 3r + 4u kinat to the constraints 12r…

A: Given- Consider the following linear programming problem. Maximize 3x + 4y subject to the costraints…

Q: Solve the following LP scenario. Maximize p= x +3y+4z subject to 2a + 4y +5z < 75 3x +3y+4z < 64 y2…

A:

Q: Q3. Complete the following iteration tableau of Maximization problem of LPP and comment on the…

A: We are given the following table:   Cj 3 5 0 0 0 Solution Cbi Basic Variables x1 x2 s1 s2 s3…

Q: Q2. Consider a particular iteration stage of a LPP in simplex method. Complete the entire iteration…

A:

Q: Solve the following LP using Simplex method Minimise Z = 60x1 + 80x2 Subject to 20x1 + 30x2 ≥ 900…

A: Given the problem is Minimise Z = 60x1 + 80x2 Subject to 20x1 + 30x2 ≥ 900              40x1 + 30x2…

Q: Q2. Complete the following iteration tableau of Maximization problem of LPP and comment on the…

A: zj can be found using a formula or method as follows…

Q: Q2/Solve the following LPP using simplex method and answer the following question. Minimize P = 5x1+…

A:

Q: Given is the following LP-problem. max Z = 7x1 + 5x2 + 6x3 + 8x4 + 2x5 4.x1 + 121 + 3x2 + 4.r3 + 5x4…

A: We solve the lpp by simplex method. And then find the dual problem of the given primal problem. To…

Q: 1. Consider the following linear program: Max 3A + 2B s.t. 1A 1B 3A 1B 1A + 2B 10 24 16 A, B ≥ 0 a.…

A:

Q: Consider the LP model below: Max z = x1 + X2 S.t. 4x, + х, < 100 X1 + x2 < 80 X1 < 40 X1, X2 2 0…

A:

Q: or the linear program Max     2A + 3B s.t. 1A  +  2B ≤ 6 5A  +  3B ≤ 15   A, B ≥ 0…

A: In a linear programming problem, we are supposed to find an optimal value (maximum or minimum) for a…

Q: HW 4: Use the simplex method to solve the following problem and verify the solution by the graphical…

A:

Q: Consider the following LP: max z = 21 – 4x2 s.t. x1 - x2 0. (a) Write down the dual of this LP.…

A: given  Solve Dual problem by Big M method...  .

Q: Consider the following LP: 6x, + 4x2 4x, +x, s7 X, +x, 5 4 - X, + x, s 2 A. Maximize subject to…

A:

Q: Q3. Complete the following iteration tableau of Maximization problem of LPP and comment on the…

A: Cj 2 1 0 0 0 Solution Cbi Basic  Variable x1 x2 s1 s2 s3   2 x1 1 0 -1 0 0 30 1 x2 0 1 -2…

Q: Find the optimal value of the objective function for the LP problem (without using simplex method to…

A:

Q: sider the transportation problem presented in the following table:   D1 D2 D3 D4 SUPPLY S1 19 30 50…

A: Given: consider the transportation problem presented in the following table:   D1 D2 D3 D4 SUPPLY…

Q: Write the initial simplex tableau for the problem. 6) Find x 2 0 and y 2 0 such that 3x + 2y s 30 3x…

A:

Q: Q3. Solve the following LP problem using the simplex method: Maximize: Z- 2x +y Subject to: 2x + y56…

A:

Q: Q4: Consider the following LP Max z= 3x1 -3x2 Subject to: -X1 + 4x2 2 8 X1 + X2 5 6 X12 0, x2…

A: (A) The Given Linear Programming problem is- Max Z =3x1-3x2subject to:-x1 + 4x2 ≥ 8x1 + x2 ≤ 6x1 ≥ 0…

Q: mar 3r1 + 212 s.t. F1 + 12 0) Suppose the z-line optimal simplex table of this problem is z + 7/3w,…

A: the given LPP is ; max Z =3x1+2x2s.t, x1+x2≤22x1-x2≤3x1,x2≥0 the problem is converted to canonical…

Q: E. 9 Q2. Consider a particular iteration stage of a LPP in simplex method. Complete the entire…

A: Solution: Cbi Cj 2 5 8 0 0 0 XB       x1 x2 x3 s1 s2 s3   Minratio 0 s1 2 (6) 0 1 -2 0 16…

Q: Q2) Solve the following problem using the simplex method: Maximize: z = 4x+3y x +3y s 3 - 2x +y s 5…

A:

Q: optimal integer solution

A: Max 5x1+8x2s.t   6x1+5x2 ≤30       9x1+4x2 ≤36       1x1+2x2 ≤10  x1 and x2 ≥ 0 and integer

Q: Q1. Consider a particular iteration stage of a LPP in simplex method. Complete the entire iteration…

A: Solution: Cbi Cj 2 5 8 0 0 0 Solution       x1 x2 x3 s1 s2 s3   Min Ratio 0 s1 2 13/4 0 1…

Q: 2. Consider the following linear programming problem: Maximize p 5x+ 10y subject to 3x-2y < 30 4.x…

A: Solution (a)

Q: If during the last iteration of the simplex method, c- z equals zero for one or more of the…

A: If during the last iteration of the simplex method:

Q: Q2. Consider a particular iteration stage of a LPP in simplex method. Complete the entire iteration…

A:

Q: Consider the following linear program: Мах ЗА + 2B st. 1A + IB 10 3A + 1B 24 IA + 2B 16 A, B20 Use…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: pply the Vogel’s Approximation Method to obtain the initial transportation schedule and hence…

A: Since you've asked multiple questions, as per the answering guidelines we are supposed to answer the…

Q: Use the simplex or two-phase method to solve the following problems. maximize : + subject to: x,+…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Consider the following linear program. Мах ЗА + 4Bв s.t. -1A + 2B57 1A + 2B s 12 2A + 1B s17 A, B 20…

A: In an optimation problem, a slack variable is a variable that is added to an inequality constraint…

Q: Consider the following initial tableau obtained when solving a maximization problem: 1 19100 87 1…

A:

Q: A simplex iteration is given in the following figure for a maximization problem. X1 X2 s1 S2…

A:

Q: Solve the following problems with the two-phase simplex method. For each problem, show your solution…

A:

Q: Determine if the following tableau is the final tableau for a minimization LP? if not, apply the…

A: From the given information. The final tableau for a minimization LP is as follows.…

Q: s 10 Q5// Find first table in second phase from linear programming problem Using Two phase n .method…

A: The problem is converted to canonical form by adding slack, surplus, and artificial variables as…

Q: Use the simplex method to solve the linear Maximize z=x, + 4x2 +X3 + 10x4 subject to: x1 + 2x2 +x3…

A: Given problem is max z=x1+4x2+x3+10x4subject tox1+2x2+x3+x4≤522x1+2x2+4x3+x4≤115x1≥0, x2≥0, x3≥0,…

Q: • Consider the following LP: maximize 2x1+ 5x2 s.t. -x1 + 2x2 < 5 2x1 + 3x2 < 12 X1 + x2 2 -1 X1, X2…

A: We are given the following LPP problem : maximize 2x1 + 5x2 s.t. -x1 + 2x2 ≤ 5 2x1 + 3x2 ≤ 12 x1 +…

Q: Q2. Complete the following iteration tableau of Maximization problem of LPP and comment on the…

A: Using Excel,

Q: Max 5x1 + 8x2       s.t.     5x1 + 6x2 ≤ 32   10x1 + 5x2 ≤ 46   x1 + 2x2 ≤ 10  x1, x2 ≥ 0 and…

A:

Q: Solve the LP problem in example 3 using Big-M method. Complete the table and find the optimum…

A: We have to solve the maximization problem by big M method. In which from the given problem we…