Maximize P=12x1+3x2+x3, Subject to:  10x1+2x2+3x3 ≤100 7x1+3x2+2x3≤77 2x1+4x2+x3 ≤80 x1,x2,x3≥0

Q: Maximize P= 7x+9y Subject to: 2x+ y12 x, y 20

A:

Q: 32. Maximize and Minimize Z = 7x + 36y 2x + 3y > 6 -3x+ 4y < 8 5x – y < 15 Subject to :

A: We first draw 2x+3y=6 , -3x+4y=8 and 5x-y=15(using graphing calculator)

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: Maximize z = 2x1 + 3x2 + x3 S.t. x1 + x2 + x3 10 -x2 + x3 2 10 X1, X2, x3 20

A: We solve the given LPP problem Using two phase method. For complete solution kindly see the below…

Q: 2. Minimize Z = 4X1 + 4X2 + 2X3 Subject to X1 + 3X2 +6X3 >= 400 2X1 +6X2 + 4X3 >= 350 2X1 + 8 X2 + 5…

A: The LPP is solved using excel solver and all the steps are mentioned.

Q: b. Minimize Subject to: Z = 2x1 + 3x2 4x1 + 2x2 2 20 } E 2x1 + 6x2 2 18 F 1x1 + 2x2 ≤ 12 X1, X2 20…

A: The given linear programming problem is                       Min Z=2x1+3x2 Subject to…

Q: Minimize and maximize z=30x+20y Subject to 3x+y ≥ 36 x+y ≥ 24 x+3y ≥ 30 x, y ≥ 0

A: Given :- Minimize and Maximize  z = 30x +20ys.t.3x +y≥36   x+y≥24 x+3y≥30      x,y≥0

Q: Maximize p = 6x + y + 3z subject to 3x + y < 15 2x + 2y + 2z < 20 x 2 0, y 2 0, z 2 0.

A:

Q: minimize Z = 8x, + 2x2 subject to 2x, - 6x2 s 12 5x1 + 4x2 2 40 X1 + 2r, 2 12 X2 S 6 X1, X2 0

A:

Q: find the values of  x greater than or equal to 0 y greater than or equal to 0 that maximize…

A:

Q: 5x, + 3x2 2x, + 5x2 2 10 3x + x22 6 X + 7x2 2 7 Minimize subject to and x 20, x2 2 0.

A: We use graphical method to solve the given problem Minimize 5x1+3x2 Subject to 5x1+3x2 ≥10   3x1+…

Q: minimize [f1(x) = 5x1 – x2, f2(x) = x1+ 4.x2| subject to -51 + 2.x2 3 X1 + 2x2 > 4 X1, X2 > 0 Draw…

A:

Q: Create a problem and define the decision variables to meet the following LP formulation. A LP model…

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

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

A:

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

A:

Q: Maximize Z=150x1+125x2+95x3 Subject to Assembly Inspection Packaging D 3.5x1 +2.75x2 +1.25x3 <= 150…

A:

Q: In order to maximize tomato yield we are interested in whether using different cultivars of tomatoes…

A:

Q: Create a problem and define the decision variables to meet the following LP formulation. A LP model…

A:

Q: Maximize and Minimize P=2x+y Subject to x+y&lt;or= 5                     -x+3y&lt;or=3…

A: To determine: Maximize and Minimize:

Q: Maximize P subject to the following constraints. P = 3x + 2y     x ≥ 0 y ≥ 0 x + y ≤ 5

A:

Q: c) Maximize Z = 3x1+ 4x2+ 2x3 subject to: X1 + 2x2 + 0x3 < 10 2x1 + 2x2 + X3 S 10 X1, X2, X3 2 0 d)…

A: Note: We are entitled to solve one question at a time. As the specified one is not mentioned, So we…

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

A: Consider the given problem.

Q: Maximize Z = 20x1 + 8x2 subject to 16x1 + 8x2 0 %3D

A:

Q: Create a problem and define the decision variables to meet the following LP formulation. A LP model…

A: Suppose that we need to make three different types of juices with two ingredients in different…

Q: Minimize and maximize P= 2x, - 9x2 subject to Xq + X2 s20 5x, + 3x2 2 75 X1,X2 20

A:

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

A:

Q: Maximize P=5x-5y   subject to 2x+y≤30 x+2y≤24 x,y≥0

A: We can use the graphical method to find the maximum value of P for this linear programming problem.

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

A:

Q: 2. Give the linear programming represented by the model Maximize z = 3x1 + 2x2 + X3 subject to: 4x1…

A: We have to maximize the function, I am going to solve this by simplex method.

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

A:

Q: Minimize 8x, +10x, +7x, +6x,+11x, +9x6 Subject to 12.x, + 9x, +25x, +20x; +17x, +13x, 2 60 35x,…

A: We solve this LPP by dual simplex method.

Q: Maximize p = x + y 2y > Subject To: 4 2а + Y 8 And Where: {r > 0, y > 0} y = p = AL VI VI +

A:

Q: 6. Maximize z-x, + 2x2 + 3x3 + x4 subject to 2x, + x, + x, + 2x, s 18 3x, +5x2+ 2x,+ 3x, s24 3x, +…

A:

Q: 5. Maximize z = 3x, + x2 + 4x3 subject to 3x, + 3x2 + xz < 18 2x1 + 2x2 + 4xz = 12 %3D X1 2 0, x3 2…

A: We to convert the given linear programming problem in to dual problem. The solution is explained…

Q: Write the simplex tableau, that should be used to: Maximize P = 5x1  + 2x2 subject to  x1+ 7x2 = 0…

A:

Q: maximize P=5x1+2x2-x3 x1+x2-x3=0

A: According to the given information, it is required to maximize the given problem.

Q: How many optimal basic feasible solutions does the following LP have? max z = 2x1 + 2x2 s.t. X1 + x2…

A: Draw the graph of the constraints

Q: Maximize P=2x1−3x2+4x3, Subject to: 4x1−3x2+x3 ≤3 x1+x2+x3 ≤10 x1,x2,x3 ≥0

A: The given problem is linear programming problem (LPP). To solve the problem we will use the simplex…

Q: Maximize 2x1 + x2 – 3r3 + 5x4 subject to xi + 2r2 + 2r3 + 4x4 < 40 2x1 – r2 + 13 + 2x4 < 8 4x1 – 2x2…

A:

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

A:

Q: Introduce slack variables as necessary and write the initial simplex tableau for the…

A:

Q: Provide an example to refute the statement below: A basic feasible solution of an LP can be…

A: We have to provide a valid example that proves the below statement False. A basic feasible solution…

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: 2. Minimize z - 6х, + 6х, + 8x, + 9х, subject to X, + 2xz + x3 + x4 2 3 2x, + x3 + 4x3 + 9x4 2 8 X,…

A: Given-  Minimize Z = 6x1 + 6x2 + 8x3 + 9x4subject tox1 + 2x2 + x3 + x4 ≥ 32x1 + x2 + 4x3 + 9x4 ≥ 8x1…

Q: Maximize z = 14x, + 3x, +3x2 subject to: 7x, +3x, s8 2

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: 2. Minimize: Z 20X1 + 10X2 + 80X3 %3D Subject to: X1 + X2 + X3 > 6 2X1 + 4X2 + X3 = 20 2X1 + X2 < 5…

A: We have to find the solution to the given problem.