subject to  4x  +  y   ≥   22 x  +  2y   ≥   18     x   ≥   2 x ≥ 0, y ≥ 0   The minimum is C =  at

Q: Use the simplex method to solve the following. Maximize z= 3x, + 3xy = 6x3 subject to 5x, + 5x2 -…

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Q: Write the dual maximization problem, and then solve both the primal and dual problems with the…

A: Converting the given problem in standard form, using surplus and artificial variable. Max g =…

Q: The profit from the sale of x units of radiators for automobiles and y units of radiators for…

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Q: You are given the final simplex tableau for the dual problem. Give the solution to the primal…

A: I don't have about associated dual problem. so, let's solve primal problem,

Q: Solve the given L.P. problem by the graphical method. Maximize  Z = 50x1 + 60x2…

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Q: Q-5)for the LPP below: Max Z = 2X1+X2 S TO :X1+X2 = 3 X2 = O The kind of solution is : * O…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Use the simplex method to solve the problem. P= 2x, - 5x2 X1 + X2 54 5x, +3x2 2 15 Minimize subject…

A: Given function to optimize  Minimize  P=2x1-5x2 Subject to  x1+x2≤45x1+3x2≥15x1,x2≥0 To solve this…

Q: Solve the optimization problem. Minimize S = x + 10y with xy = 10 and both x and y > 0. S =

A: Given minimize S=x+10y with xy=10 and both x and y>0. We have to solve the given optimization…

Q: Form the dual maximization problem (Use x,, X, and x, as the variables and fas the function.) and…

A: The given problem is minimize g=18y1+17y2 Subject to y1+y2≥1002y1+y2≥1406y1+5y2≥580

Q: Solve the following problem by using the Simplex approach: Maximize Z = 4X1…

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Q: Solve by using the simplex method: Maximize: Z = 8х + 3x2 + хз subject to: X1 + 6х2 + 8хз 0, x3 > 0…

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Q: A loan buyer in a secondary market believes that x% of the loans are high quality, and the rest are…

A: Solution: The inquiry says the worth of merchant selling high-quality bonds is equivalent to the…

Q: Use duality to solve the given problem. Minimize w=2y1 +y2 + 2y3 subject to y1+y2 +y3 211 3y1+y2 249…

A: Given that the problem is  Min w=2y1+y2+2y3y1+y2+y3≥113y1+y2≥49y1≥0,y2≥0,y3≥0 First rewrite the…

Q: Solve the following by inspection (using graph), and justify the method of solution in terms of the…

A: A simplex method is an approach to solving linear programming models by hand using slack variables,…

Q: 2. Graph the solution region of each of the following systems of inequal- ities. (a) 6x + 12y 0, y…

A: Given: a) 6x+12y≤15, y≥2x-3 with x≥0, y≥0 b) y<x, 2y+4>x with y≥0

Q: x + 2y 2 8 (y 20 Minimum for nur C = x + 3y

A: Linear programming problem: graphical method. The given objective function is C=x+3y, subjected to…

Q: Solve the given problem using the simplex method. Minimize: C = 5x +6y Subject to: x + y = 1000 x =…

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Q: The primal problem and the final tableau in the solution of the primal problem are given. Use the…

A: First convert the primal to its dual problem. The last row if the simplex table indicate the…

Q: For the primal and the associated dual problems shown below, use the complementary slackness theorem…

A: Given: x1 = 0 , x2 = 4/3 , x3 = 1 Maximize , -4x1-6x2-5x3  Subject to  2x1 +3x3 ≥3 3x2+2x3≥6x1,x2,x3…

Q: Use Lagrange multipliers to solve the given optimization problem. Find the maximum value of (x, y) =…

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Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize  C…

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Q: Q5) by using the (graphical method) find the optimum solution of X1, X2 that the maximum Z=4X1+5X2…

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

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Q: Minimize Z = 0.2x, + 0.1x, + 0.3x, Subject to constraint 0. 5x, + 0.2x, + 0.7x, = 0.420 0. 3x, +…

A: 1) The problem is converted to canonical form by adding slack, surplus, and artificial variables as…

Q: Maximize f = 4x1+ 9x2 +5x3 subject to T1 + x3 < 80 T1 + x2 < 20 T2 + x3 < 40 %3D a1 2 0, x2 2 0, x3…

A: We have to Solve given LPP by Simplex Method.

Q: Use the technique developed in this section to solve the minimization problem. Minimize C = 10x + y…

A: Given LPP is Minimize  C = 10x + y subject to   4x + y ≥ 24x + 2y ≥ 20       x ≥ 2x ≥ 0, y ≥ 0

Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C…

A: In linear programing, any given linear programing problem called primal can be associated with…

Q: Use the technique developed in this section to solve the minimization problem. Minimize  C = 10x +…

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Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize  C…

A: Given:-           Construct the dual problem associated with the primal problem. Solve the primal…

Q: Solve by graphical method the L. P. P. : Maximize : z = 6x1 – 2x2 Subject to the constraints : %3D…

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Q: Use the big M method to solve. Minimize C = - 5x, - 13x2 + 16x3 subject to X1 + 2x2 + X3 s 17 2x, +…

A: Use Big M method to solve this LPP. Introducing  the  slack variable, surplus variable and…

Q: 2. Solve the initial integer solution of the given integer problem. Use the graphical method.…

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Q: Solve the following problem by using M-Technique Method. Maximize:- z= x₁ + 2x₂ + x₃ s.t x₁ + x₂ +…

A: Given,Max Z = x1 + 2x2 + x3subject tox1 + x2 + x3 = 72 x1 - 5 x2 + x3 ≥ 10and x1 ,x2 ,x3≥0

Q: (7) Find the general solution to y = (x +y + 1)

A: Given differential equation is: dydx=x+y+1 Let us assume x+y=t 1+dydx=dtdxdydx=dtdx-1…

Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize  C…

A: The given primal problem is  Minimize C = 200x + 150y +120z Subject to                  30x + 15y +…

Q: Q3) Find the optimal solution by using graphical method: Max Z = x, + 2x2 2x1 + x2 S 100 X1 +x2 < 80…

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Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C=…

A: Given problem is Minimize     C =58x +48y +11zsubject to,                      2x+y+z  ≥ 8…

Q: Use the simplex method to solve the following. Maximize z= 3x, + 3x2 - 9x3 subject to 4x1 + 4x2 -…

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Q: The primal problem and the final tableau in the solution of the primal problem are given. Use the…

A: The following steps are used to convert the primal problem as the dual problem. Write the given…

Q: Use the simplex method to solve the linear proglamniy Maximize z = 9x, +8X, subject to x, + 2x2 s 2,…

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Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C…

A: The following steps are used to convert the primal problem as the dual problem. Write the given…

Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize…

A: In the above question, the primal problem is given we have to construct a dual problem from it we…

Q: Solving the following problem by the simplex method,…

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

A: In order to apply the dual simplex method, we convert Min Z to Max Z and all ≥ constraint to ≤…

Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize  C…

A: Primal is   MIN Cx =   200 x + 150 y + 120 z subject to   30 x + 15 y +   z ≥ 15…

Q: Construct the dual problem associated with the primal problem. Solve the primal problem. Minimize C…

A: Given the primal problem:

Q: c. Find the initial feasible solution using. VAM method. TO From B D Supply 3. 4 300 II 9. 400 III…

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Q: Use the simplex method to solve the following. z = 4x1 + 4x2 - 8x3 10x3 s 95 12x3 s 128 X1 20, x2 2…

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Q: Use the simplex method to maximize the follov Maximize f = 6x1 + 11x2 subject to 4x1 + x2 0 If no…

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