A. Solve the following linear program by the solver method. C = 22x + 18y 15x + 10y 2 230 10x + 6y 2 140 5x + 15y 2 150 y > 10 х, у 20 1. Minimize: Subject to: B E F y 2 Decision: 3 4 Constraints: Total Used Sign Available 1 2 3 8 4 9 Minimize C: C = 3x + 5y Зх + 5y 2 10 2x + 2y s 35 2x + y2 12 y 2 1 х, у 20 2. Minimize: Subject to: A B D E F 2 Decision: 3 4 Constraints: Total Used Sign Available 5 1 2 7 8 4 9 Minimize C: 567

Q: 4. Solve using Simplex Method: max z = 2x1 - x2 + x3 subject to: 3x1 + x2 + x3 ≤ 60 2x1 + x2 + 2x3 ≤…

A: The given Linear programming problem, maxz=2x1-x2+x3 Subject to,…

Q: Solve the problem Max (min) 3x² + 2y² +2² subject to the constraints z² = x² + y² and x-2z = 3

A:

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: State the dual problem for the given problem, but do not solve it. w = 8y, + 2y2 subject to y, + 9y2…

A: The given primal problem is as follows. Minimize w=8y1+2y2 Subject to…

Q: Solve using the simplex method. Find x, 20 and x, 2 0 such that X1 + 2x2 2 24 X1 + X2 5 40 and z =…

A:

Q: тахz %3D 2x + у S.t х+у<60 2х + у 2 40 y < 30 х, у 2 0

A: Linear programing is a mathematical techniques to optimize solution of given constraints.

Q: Solve using simplex. Minimize: w = y1 + y2 + 4y3 Subject to: Y1 + 2y2 + 3y3 > 115 2y1 + y2 + 8y3 200…

A:

Q: Solve the following LPP using Simplex method.     Max P = 12X + 16Y     Subject to:            10x…

A:

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

A:

Q: Use the simplex method (in tabular form) to solve the following problem Maximize: Z=5x,+9x2+X3…

A:

Q: 4. Using elimination, solve the system 3 3x+4y =1 2x + 3y = 3 Give the pivot and multiplier.

A:

Q: Q1/ solve the following by using graphical method: Maximize Z=12x+16y, Subject to: 10x+20y < 120,…

A:

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

A:

Q: Solve by applying the simplex method to the dual problem. C=10x₁ +7x₂ + 12x3 x₁ + x2 + 2x3 28 2x₁ +…

A: Objective Function:Minimize: C = 10X1 + 7X2 + 12X3Subject to:1X1 + 1X2 + 2X3 ≥ 82X1 + 1X2 + 1X3 ≥…

Q: applicable, state the reason why. { х — 2у + 32 -x + 3y + 10z 2 + у — 2г { 2х — Зу + 32 x + 2y + 10z…

A:

Q: Solve for X1

A: Given, the objective  Function                        Zi=2X1+X2+3X3Contsraints:…

Q: 3. Solve the following LPP problem by using graphical method: Мaximize: Z 3D сх + dy Subject to the…

A: First plot the constraints and shade the bounded region AB is the line x+2y=40 AD is the line…

Q: 6. Solve the system Т +2=6 - 3y + z = 7 by reducing into upper triangular form and using back…

A: Introduction: A square matrix is referred to as a triangular matrix if all of the components below…

Q: 31. Solve the systems: -꿩%3D3 c) -5x + 2y = -10 { { x/2 – y/5 = b) 3x + 2y = 4 a) -5x + 2y -10

A: a) Solve the system of given equations as follows.

Q: тахz %3D 2x + у S.t х+уs60 2х + у 2 40 y < 30 х,у 20

A: To solve the given linear programming problem:

Q: max z = 2x + 8y s.t Зх + 9y < 45 2х + у 2 12 х, у 20

A:

Q: Use the simplex method to solve the following z = 3x1 + 3x2 - 9x3 4x1 + 4x2 - 12x3 s 60 5x1 + 5x2 +…

A:

Q: Solve the following LPP using simplex method: Maximize Z = 10 x1 + X2 + 2x3 Subject to the…

A:

Q: 2. Solve the following LPP using Simplex method. Max P 12X + 16Y Subject to: 10x + 20y =0 and Y >= 0

A:

Q: Solve by applying the simplex method to the dual problem. C= 10x₁ + 7x2 + 12x3 x₁ + x2 + 2x3 28 2x₁…

A: Objective Function: Minimize: C = 10X1 + 7X2 + 12X3 Subject to: 1X1 + 1X2 + 2X3 ≥ 8 2X1 + 1X2 + 1X3…

Q: pts Her of the Rancho Grande has 360 feet of fencing with which to enclose a rectangular piece of…

A: Rancho Grande has 360 feet of fencing, fencing is not required along the river.

Q: Convert into a maximization problem with positive constants on the right side of each constraint,…

A:

Q: In solving maximization problem using simplex method, the optimum column is obtained by getting the…

A: Solution: In maximization problem using simplex method, First, set up the problem and then convert…