LP Model: Maximize z = 120x1 + 100x2 subject to: 10x1+5x2<80 6x1 + 6x2 < 66 4x1 + 8x2 2 24 x1, x2 2 0 Find the optimal solution.

Q: Solve the given linear programming problem. Minimize z 6x +dy subject to x 2 0, y 2 0, x + y 2 4, x=…

A: The given subject to constraints:-  x≥0,y≥0, x+y≥4, x≤8,y≤10. Maximizing z=6x+4y

Q: Solve the given LP problem. If no optimal solution exists, indicate whether the feasible region is…

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Q: 2. Maximize. z subject to 2x1 + 3x2 – 4x3 = 3x1 - 2x2 + x3 0, x2 > 0, x3 > 0.

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Q: Maximize subject to: Z = $140×₁ + $150x₂ 8x1 + 2x₂ 40 9x2 + 3x₂ ≤ 120 X1, X₂ ≥0

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Q: 2. identify the feasible region and optimal solution for the linear program max z =2x1 + 3x2 s.t 1x1…

A: To identify the feasible region

Q: Maximize 3x₁ + x2 subject to -₁ + 2x2 ≤ 0 X₂ ≤ 4. a. Sketch the feasible region. b. Verify that the…

A: We are given the linear programming problem Maximize 3x1+x2subject to -x1+2x2≤0x2≤4 First we draw…

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

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Q: i. What is the optimal solution if es (coefficient of x) is increased to 6? ii. How much increase or…

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

A: Solution

Q: 1. Determine the optimum solution by applying simplex method and graphical method showing the…

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Q: Graph the feasible region and find the solution using the method of corners.  Provide the optimal…

A: Given Max P=5x+4y Subject to constraints 2x+y≤802x+3y≤1204x+y≤160 And x≥0,y≥0 We have to draw the…

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: min -5x1 –- x2 + 12x3 subject to 3x1 + 2x2 + x3 = 10 5x1 + 3x2 + +x4 16 X; > 0, i = 1, 2, 3, 4. for…

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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: 4. Use the simplex method to find a basic feasible solution that maximizes Z = 2x+7y subject to the…

A: It is given x≥0 and y≥0 - 4x + 2y ≤ 8   , taking 2 common outside  2(-2x + y) ≤ 8 - 2x + y ≤ 4…

Q: Solve by the Big M – method: Maximize Ζ = x1 + 2x2 + 3x3 − x4 Subject to x1 + 2x2 + 3x3 = 15 2x1 +…

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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, &amp; 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: 6.A company makes product 1 and 2 from resources, the LP model is like below Maximize Z= 8x1 +2x2…

A: Maximize Z =8x1+2x2Subject to4x1+5x2≤202x1+6x2≤18x1,x2≥0 :After introducing slack variablesMax Z =…

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 sells square carpets for $5 per square foot. It has a simplified manufacturing process for…

A: Given: Cost per square foot of carpet is $5 Let the length of the carpet be x feet. Side of each…

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: 1. Determine the Range of Optimality. MAX 2X1+5X2 Subject to:6X1+5X2560 2Xi+3X224 3Xi+6X2<48 Xi,X20

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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: A company sells square carpets for $7 per square foot. It has a simplified manufacturing process for…

A: The minimum area (Amin) of the carpet    = 3ft by 3ft The cost per sq. foot of the carpet…

Q: Find solution using simplex method. Maximize Z = 3x1 + 5x2 + 4x3 subject to the constraints 2x1 +…

A: Given, max z=3x1+5x2+4x3subject to   2x1+3x2≤8                    2x2+5x3 ≤10…

Q: Maximize the function P = 9x - 5y subject to y 2 5x + 6y s 30 8x +3y 2 24 What are the corner points…

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Q: Maximize P = 5x + 3y subject to 4x + 2y ≤ 20 3x + 3y ≤ 21 x ≥ 0, y ≥ 0

A: Please see the below explanation:

Q: Solve the LPP by using Big M method Maximize z = x1 + 5x2 subject to 3x1 + 4x2 s6 x1 + 3x2 2 2 x1,…

A: Kindly go through the solution and let me know in case of any doubt or further clarification in the…

Q: order to ensure optimal health (and thus accurate test results), a lab technician needs to feed the…

A: Here we have to minimize the cost     Part (a):   Let x and y are the number of ounces of food X…

Q: In order to ensure optimal health (and thus accurate test results), a lab technician needs to feed…

A: Step:-1 Let x1, x2 be the amount of food X and food Y respectively to blend. Now, given that    X…

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: 1. Describe the relationship between extreme points, basic solutions, and basic feasible solutions…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: Find the optimal Solution of following transportation system formulated below by 1. Simplex method…

A: Let's solve by using simplex method.

Q: Solve by HEURISTIC METHOD. Maximize Z MAXIMIZAR Z=X1+ 5X2 +7X3+ 3X4 Sa. 7X1 + 3X2 + 2X3 +4X4 <21 8X1…

A: We have linear programming problem with us. Maximize Z=X1+5X2+7X3+3X4subject to, 7X1+3X2+2X3+4X4≤21…

Q: 11-15 Using Simplex Method Maximize: Subject to: 3x1x22x3 ≤7 -2x₁ - 4x₂ + 4x3 ≤ 3 X1-2x3 ≤ 4 -2x₁ +…

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Q: Solve Beaver Creek Pottery Company problem (in Ch. 2). Maximize Z = $40x1 + $50x2 subject to 1x1 +…

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Q: A financial broker is looking to invest in 4 volatile sectors of the market. After some research, he…

A: Given: An integer programming problem…

Q: LP Model: Minimize z = 15x1 + 20x2 Subject to: x1+2x2210 2x1- 3x2 0 Find the optimal solution.

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Q: If the optimality has been arrived but the artificial variable is still in the basis then the LP…

A: Given: The objective is to choose the correct option from the given choices, It is given that, If…

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: Use the two phase method to find solutions. minimize aX1 + bX2 subject to X1+ 3X2 =3 X1,X2 > 0

A: The given problem is : Minimize z=ax1+bx2 subject to x1+3x2=3                  x1,x2≥0 Converting…

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

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Q: Solve the following LPP by graphical method : Maximize Z = 22x1 + 18x2 Subject to constraints: 960x1…

A: Taking x1 on x-axis and x2 on y-axis , we have : The shaded region represents the feasible region…

Q: Point A// For the following LP model, determine the optimal solution using the .simplex method Max…

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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…

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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: 5x + 12x2 XI - x2 3 -XI + 2x2 < -4 10. Maximize subject to and xi 2 0, x2 2 0.

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Q: 22. Solve the following problem for the optimal solution using simplex: minimize 20.x, + 10x2 +…

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