Maximize P=3x1+4x2−5x3, Subject to: 2x1−3x2+2x3 ≤4 x1+2x2+4x3 ≤8 x2−x3 ≤6 x1,x2,x3 ≥0   and give the maximum value of P to the nearest integer.

Q: 14. Maximize P = 15x1 + 20x2 %3D subject to 2xı + x2 s 9 X1 + x2 s 6 X1 + 2r2 s 10 X1, X2 0

A:

Q: (a) Minimize 2x1 +4x2 – 4x3 +7x4 subject to 8x1 2x2 + x3 –- X4 0

A:

Q: Use the simplex method to solve the problem. Maximize Z= 2x1 - 4x2 X1 +x2 s 24 5x, + 3x2 2 90…

A:

Q: Maximize P=2x1+3x2+4x3     subject to x1+x3≤8 x2+x3≤6 x1, x2, x3≥0

A: Given that, Maximize   P=2x1+3x2+4x3  Subject to        x1+x3≤8 x2+x3≤6 x1, x2, x3≥0 The…

Q: In a certain manufacturing process, when the level of production is x units, the cost of production,…

A: This question can be solved by using the concept of absolute maxima and absolute minima.

Q: The maximum problem is not in standard form. Determine if the problem can be modified so as to be in…

A: Given LPP is Maximize P = 3x1 + x2 + 8x3 Subject to constraints -x1 + x2 + x3 ≥ -103x1 - 8x2 ≥ -15x3…

Q: Use Simplex method to Maximize Ζ = 4x1 +10x2 Subject to  2x1 + x2 ≤ 50                    2x1 +…

A: Solution

Q: An apple grower finds that if he plants 80 trees per acre, each tree will yield 26 bushels of fruit.…

A:

Q: An open box is to be made from 72 square meters of cardboard, and the length of the box must be…

A:

Q: Minimize ƒ = x² + x² +60x, subject to the constraints 8₁x₁-8020 8₂x₁+x₂-120≥0 using Kuhn-Tucker…

A:

Q: Use the simplex method to find x, 20 and x, 2 0 such that X1 + 5x2 2 25 X1 + X2 547 and such that z…

A: Given LPP is Max Z=12x1+10x2 Subject to, x1+5x2≥25 x1+x2≤47 x1, x2≥0

Q: Maximize P=5x1+6x2+4x3   Subject to: x1+2x2≤6 5x1+3x2+3x3≤24 x1,x2,x3≥0

A:

Q: Maximize P = x1 + 2x2 + x3, Subject to: 3x1 + x2 + x3 <4 x1 + x2 + 2x3 < 4 æ1, X2, x3 and give the…

A: It is given that, Max P=x1+2x2+x3 Subject to the constraints, 3x1+x2+x3≤4x1+x2+2x3≤4and x1,x2,x3≥0…

Q: A company manufactures two types of bicycles, a racing bicycle and a mountain bicycle. The total…

A:

Q: use graphical methods to solve the linear programming problem. Minimize z = 4x +5y subject to 2x-4y…

A: The given problem is to solve the linear programming problem over the given constraints by using…

Q: locate the critical points and determine the maxima and minima of a^3y=x^2(2a^2-x^2)

A: Given function is a3y=x2(2a2-x2)

Q: Solve the optimization problem. Minimize F = 20x² + 20y² with xy2 = 16. %3D F =

A:

Q: Minimize f = x²+x+60x, subject to the constraints 8₁= x₁-8020 82x₁+x₂-120≥0 using Kuhn-Tucker…

A:

Q: A rectangular poster is to contain 200 square inches of print. The margins at the top and bottom of…

A: Given ,A rectangular poster is to contain 200 square inches of print.The margins at the top and…

Q: Use the simplex method to maximize the following:

A: We have to find the solution by Simplex method for the given maximization problem…

Q: Maximize Z = 19x1 + 8x2 subject to 9x1 + 16x2 0

A: Consider the given problem.

Q: Maximize P=3x1+4x2−5x3   Subject to: 2x1-3x2+2x3≤4 x1+2x2+4x3≤8 x2-x3≤6 x1, x2,x3≥0

A:

Q: Solve the optimization problem. Minimize F = 31x2 + 31y2 with xy2 = 16. F = -63.36

A: Given query is to find minimize F.

Q: 5. Use duality to show that the following LP has an optimal solution 2x1 - X2 Subject to 2x, -X2 - X…

A:

Q: Maximize Z = 2x1 + x2; Subject to x2 ≤ 10 2x1 + 5x2 ≤ 60 x1 + x2 ≤ 18 3x1 + x2 ≤ 44 and x1 ≥ 0, x2 ≥…

A:

Q: Write the Kuhn-Tucker conditions and find the maximum value of y=x-.25x^2+y^2 subject to…

A:

Q: Maximize z = 3x1 + 4x2 Subject to x1 + x2 ≤ 4                   2x1 + x2 ≤ 5                   x1 ≥…

A:

Q: maximize p=x1-x2 subject to x1+x2≤4 2x1+7x2≤14 with x≥0 y≥0

A:

Q: Maximize P = 24x1+ 14x2 0 20x1 + 3x2 subject to

A:

Q: Minimize f = x²+x+60x, subject to the constraints 8₁x₁-8020 82x₁+x₂-120≥0 using Kuhn-Tucker…

A: Given - To minimize f=x21+x22+60x1  subject to constraints g1=x1-80≥0g2=x1+x2-120≥0 We have to…

Q: (a) Maximize z = 2x1 – 4x2 + 5x3 – 6x4 subject to X1 + 4x2 – 2xz + 8x4 0

A: ⊙ Given LPP is Maximize τ = 2x1-4x2+5x3-6x4sub to. x1+4x2-2x3+8x4 ≤2-x1+2x2+3x3+4x4 ≤1Now, we…

Q: What can be changed to have a bounded solution for this model? Explain by solving it.  Max Z= 3x1 +…

A: The constraints of a linear programming problem decide the feasible region of the problem. If the…

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

A:

Q: Maximize Z = 2x1 + x2 – 2x3 - Subject to -2xı + x2 + x3 2 -2 - x1 + x2 - x3 2 –4 X1 +x2 + 2x356…

A: Given: Maximize Z=2x1+x2-2x3 Subject to constraints -2x1+x2+x3≥-2        ......(A) -x1+x2-x3≥-4…

Q: Maximize Z= 40x1 + 50x2 10x1+ x2>=100 5x1 + 15x2>=500 х1, х2>-0

A:

Q: Maximize z = 2x1 + x2  subject to: x1 + x2 ≤ 71  3x1 + x2 ≤ 175   x1 ≥ 0, x2 ≥ 0

A:

Q: A farmer has 200ft of fencing and wants to build three adjacent rectangular corrals. determine the…

A: A farmer has 200ft of fencing and wants to build three adjacent rectangular corrals. We have to find…

Q: Use the simplex method to solve the problem Z-2x1-4x2 Maximize X1x220 5x1+3x2 2 75 X1.x2 20 subject…

A: Given maximization problem is,

Q: Solve the optimization problem. F = Minimize F = 11x² + 11y² with xy² = 16.

A: Given problem:- Solve the optimization problem.   Minimize F = 11x2 + 11y2 with xy2 = 16

Q: Q2. Use cutting plane method to solve the integer programming problem Maximize 2x, + 3x2 -x1 +x25 5,…

A: Given equations are

Q: Use the two-stage method to solve. Find x 20, x, 20, and x3 20 such that X1 + X2 + 2x3 < 38 2x1 + X2…

A:

Q: Solve using the simplex algorithm. Maximize: 5x1 + 6x2 Subject to: x1 + 2x2 ≤ 8 3x1 + 2x2 ≤ 12 x1,…

A:

Q: Use the simplex method to find x, 20 and x, 20 such that X1 + 4x2 2 26 X1 + X2 546 and such that z =…

A:

Q: Maximize P = 18x1 +X2 2x1 +X2 54 X1 + 8x2 54 X1, X2 20 subject to

A:

Q: 2. Find the duals. a) Maximize Z = 2x₁ + x2-x3 subject to: 2x1 + 2x2 ≤3 -X1 + 4x2 + 2x3 ≤ 5 X1, X2,…

A: Primal to dual conversion  Objective function is maximize  is converted to minimize Objective…

Q: Maximize P= 3x, + 3x2 + 4x3 subject to X1 + 2x2 + X3 s 35 2x1 + X2 + 2x3 s 100 X1 + 2x2 - X3 2 15…

A:

Q: Maximize 3x1+2x2+4x3 subject to  x1+x2+2x3 = 0

A: The given LPP is  Maximize Z = 3x1+2x2+4x3subject to x1+x2+2x3≤42x1+3x3≤52x1+x2+3x3≤7x1,x2,x3≥0 Add…

Q: write the dual to the following  maximize Z=3x1+5x2+4x3 subject to 2x1+x2+4x3/ 0

A: