(3-T) Find the optimal solution of the following LP models. (Use Geogebra) Write your LP model. Maximize z = 120x1 + 100x2 subject to: 10x1+ 5x2 ≤ 80 6x1+6x2 ≤ 66 4x1+8x2 ≥ 24 x1,x2 ≥ 0

Q: 1. Determine the optimal value and whether the optimal value is the maximum or minimum? a) z = 4x2 –…

A:

Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

A:

Q: Maximize C = 4x + 12y subject to 3x + 5y ≤ 12   6x + 2y ≤ 10 and x ≥ 0, y ≥ 0.     What is the…

A:

Q: 2. The tableau is not optimal for either maximization or a minimization problem. Thus, when a…

A: Basic variables are the variables mentioned in the Basis column in the table, therefore X1, X3, X8…

Q: Maximise 1170x1 + 1110x2 Subject to: 9x1 + 5x2 ≥ 500 7x1 + 9x2 ≥ 300 5x1 + 3x2 ≤ 1500 7x1 + 9x2 ≤…

A: Graph all the inequalities using a tool.

Q: Q1:- How do you determine if an LP problem has alternative optimal solutions.…

A: An LPP is said to have alternative optimal solution or multiple solution if the non-basic variable…

Q: Solve the following problem using the method of Lagrange multipliers: Find the marimum and minimum…

A: To find the maximum and minimum values of x−y3, subject to the constraint x2+9y2=9.

Q: 1. Find the maximum of P-4x+5y subject to 2x+y10 x20, y20 Sketch your feasible region and find all…

A: The LPP is given as max P=4x+5y subject to 2x+y≤24x-y≥0x+2y≥10x≥0y≥0   We will solve it by Graphical…

Q: (b) The revenue R(x, y) that Scoot Airline collects from selling its normal seats and premium seats…

A:

Q: Solve the LP problem. If no optimal sc Maximize and minimize p = 2x-y su x+y24

A: In the given question, the concept of Linear Programming is applied. Linear Programming An approach…

Q: A company makes two types of electronic devices: laptops and tablets. Its business plan says that it…

A: Solution: x is the number of laptops made per day, & y is the number of tablets made Maximum no.…

Q: Consider the optimization problem min x1-4x2 +x3 x1+2x2 +2x3 =-2, x + x3+x}< 1. (P) s.t. (i) Given a…

A: Given optimization problem is  min x1-4x2+x3 Subject to  x1+2x2+2x3=-2x12+x22+x32≤1 The optimization…

Q: Maximize 5A + 6B Subject to: 4A + 2B s 420 1A + 2B < 120 A,B 2 0 Which of the following points (A,…

A:

Q: Find the optimum values of X1, X2 and X3 that maximize the values of Z using simplex method?…

A: Add slack variable for the simplex method  Maximize Z=2x1+4x2+x3+0S1+0S2+0S3 Subject to…

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 sneakers: running shoes and basketball shoes. The total revenue…

A: Given ,Revenue from x1 units of running shoes and                           x2 units of basketball…

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

A:

Q: Maximize f(x,y)=x2+y2 subject to the constraint 2x+6y=26 the last question is what is the maximum…

A: Given fx,y=x2+y2 and 2x+6y=26-1Let gx,y=2x+6y-26∴ Fx,y=x2+y2-L2x++6y-26By lagrange's…

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: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

A: Graphical method: -  Step 1: - First we solve the inequality equation, and find the coordinates.…

Q: Q6) by using the (graphical method) find the optimum solution of X1, X2 that the minimum Z=10X1+25X2…

A:

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: 1. A furniture company makes TABLE and CHAIR.. The company has a maximum of 110 hours of labor and…

A: 1st we will find decision variables and then find LPP using those decision variables . Then solve…

Q: T4-T) Find the optimal solution of the following LP models. (Use Geogebra) Write your LP model.…

A:

Q: Find the Critical points of the ff equation and Determine the Maximum and Minimum. - 1. y= 2x² - 12x…

A: A detailed solution is given below.

Q: A factory can produce two products, x and y, with a profit approximated by…

A: We need to find vertices and max. profit.

Q: Use the simplex method to maximize the following: Maximize f=6x1+4x2+10x3f=6x1+4x2+10x3 subject to…

A: We need to use simplex method.

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

A:

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

A: We have to find the optimum solution of given LPP using graphical method.

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: Exercise 2. Solve the optimal тахи (t) Sit. 3 control problem [( 1-2x² (4) +2^²^(()) + x' (t) = 4…

A: Given ∫031-2x2t+2u2tdt  Such that x't=4 ut, x0=1 Use the given information solve the integral.

Q: Find the minimum and maximum of the function z 7z - 4y subject to 7z-3y 2 18 7z+y s 57 What are the…

A: Given z=7x-4y subject to y≥1y≤87x-3y≥187x+y≤57 We will solve it by graphical method The shaded…

Q: 2. Use the standard simplex method to solve using your first pivot choice. Provide the sequence of…

A:

Q: (4-T) Find the optimal solution of the following LP models. (Use Geogebra) Write your LP model.…

A:

Q: e following linear optimization model: Maximize z(x1, x2) = 4x1 + 4x2 Subject to

A: In this question, concept of Linear Programming is applied. Linear Programming Linear programming is…

Q: Use the two-stage method to solve. Find x, 20 and x, 20 such that X1 + 2x2 s 22 X1 + 3x2 2 12 2x, +…

A: In Two Stage Method, the whole procedure of solving a linear programming problem (LPP) involving…

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

A:

Q: Q2) Using Graphical Method to determine the optimal value of X1 & X2 that maximize value of Z, Max.…

A:

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

A:

Q: LP Model: Maximize z = 120x1 + 100x2 subject to: 10x1+5x2<80 6x1 + 6x2 < 66 4x1 + 8x2 2 24 x1, x2 2…

A:

Q: 3. Find the maximum/minimum value of y = 2x² + 7x - 10 and where it occurs using partial factoring.

A: Given function is y=2x2+7x-10 we can write it as y=x(2x+7)-10

Q: Q#2: Maximize U=w°+z0.6 subject to 2w+4z=100 and find optimal value of x and z. Also, verify that…

A:

Q: 2. The Minimum point of y = 8x+4 (x-2)²

A:

Q: Consider the LP: maximize z = c1X1+ C2X2 s.t. 2x1 + X2 11 -X1 + 2x2- 2 X1, X2 Determine all optimal…

A:

Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: Consider the LP model below: Маx z 3D х, + X2 șt. 4x1 + x2 < 100 X1 + x2 < 80 X1 S 40 X1, X2 2 0…

A:

Q: Maximize the function P = 9x – 8y subject to y 2 6x + 6y < 36 9x + 3y 2 27 What are the corner…

A: We need to maximize the function P=9x-8y subject to the constraints, x≥0y≥06x+6y≤369x+3y≥27

Q: Write the dual maximization problem to solve the minimization problem using the Simplex Method, Show…

A: Here, in primal the given objective function is maximum then in dual the objective function is…