Find the Optimal solution for the below Linear Program by Simplex method: Maximize Z = 200x + 80y +60z Subject to x + y + z <= 100 10x + 2y + 5z <= 600 2x + 2y + 3z <= 300 x, y, z >= 0

Q: Also, we must have *20. y20. Therefore, the above problem can be fomulated as follows: find x and y…

A: # we are entitled to solve one question at a time, please resubmit the other question which you wish…

Q: a)Would profit be maximized if the objective function y=50x+40xM+20x, was assumed (under the same…

A: Linear Programming Problem LPP in operations research is used to obtain the optimum value (i.e., it…

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

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Q: Solve the following problem by using the Simplex approach: Maximize Z = 4X1…

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Q: Consider the following Linear Program: max 2x1 + 3x2 +4x3 (1) (2) s.t. X1 + x2 +x3 < 50 X1 + x2 + x3…

A: Given linear programming problem is max    2x1 +3x2 +4x3s.t.   x1 +x2 +x3 ≤50               1…

Q: are ₽80 and ₽90, respectively. The raw materials from which the fertilizers are made are nitrogen,…

A: Let x be the amount of fertilizers X and y be the amount of fertilizers Y that should be…

Q: A= (70, 110), B=(110, 110) C=(130, 90) D= (130, 50) E= (100, 50) F= (70, 80) 5. Evaluate the…

A: There are 21 possible combinations of number of laptops and number of tablets which will maximize…

Q: Find the number of slacks variables needed and use slack variables to convert each constraint into a…

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Q: Solve the following LPP problem by using graphical method: Maximize: Z = cx + dy C=3 d=9 Subject to…

A: Let's find.

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: The Star Automobile sells car and motorcycle. The company has developed the following nonlinear…

A:

Q: State the dual problem for the linear programming problem. State the dual problem. Maximize z= 8x1 +…

A: Problem will be minimize

Q: Suppose the feasible region has four corners at these points (0,0), (8,0), (0,12), and (4,8).  If…

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Q: Form the dual maximization problem (Use x,, X2, and x, as the variables and fas the function.) and…

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Q: Use the simplex method to solve the linear Maximize z=X, + 2x2 + X3 + 10x4 subject to: X, + 5x, + Xg…

A: We solve given LPP by Simplex Method.

Q: It is a problem about simplex method in linear programming     maximize   2x1 - 6x2 subject to…

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Q: Solve the following linear program graphically: Maximize P = 4X1 + 6X2 Subject to X1+ X2 0

A: Given: Maximize P=4X1+6X2Subject to X1+X2≤6          .........1               3X1+2X2≤15…

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

A: Consider the given problem.

Q: Use the duality method to solve each linear programmin 1. Minimize Z = 29x,+ 10x2 subject to: 3x,+…

A: Given that  Minimum z=29x1+10x2subject to 3x1+2x2≥2                   5x1+x2≥3…

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

A:

Q: Minimize and Maximize Z= 40x+10y subject to 3x+y is greater than or equal to 42, x+y is greater than…

A: Z is maximum at D(36,0) and Zmax = 1440Z is minimum at A(0,42) and Zmin = 420Explanation:

Q: maximize subject to 18x₁ +12.5x2 X1 X1 + X1, X2 X2 x2 0.

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Q: Maximize 3x + 3y Subject to 2x + y <= 150 2x + 3y <= 300 Find the optimal solution for the above…

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Q: 3) A company sells two different types of candles, and their profit function for a week is given by…

A: 3) Given that a company sells two different types of candles, and their profit function for a week…

Q: A company produces two types of solar panels, A and B, that sell for $5million and $4 million per…

A: Given: The costs of producing type A and type B solar panels are $5 million and $4 million per…

Q: Maximize z = 10x₁ + 55x2 + 50x3, subject to 16x1 4x2+ 9x3 S 122 8x₁ + 13x2 + 22x3 ≤ 142 6x215x3 S…

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Q: Use the Lagrange multiplier method to optimize the objective function 3x? + y? – 2xy subject to the…

A: Given f(x) = 3x2 + y2 - 2xy Constraint: x + y = 6

Q: A company produces two types of solar panels, A and B, that sell for $4 million and $3 million per…

A: Given, Revenue function,R(x,y)=4x+3y Cost function,C(x,y)=x2-2xy+8y2+8x-85y-6 To find: Number of…

Q: Solve the following linear programming problem using the simplex method Maximize Z = R100X1 + R60X2…

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Q: Use the simplex method to solve the linear programming problem. z = 8x₁-7x₂ + 4x3 2X₁ X₂ + 8x3 ≤ 48…

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Q: Solve the linear programming problem Maximize 3 x + 5y subject to: x+2ys 10 2x+y=14 X20 y20

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Q: Use the simplex method to find the

A: Given,        Max(Z)=20x1+10x2subject to            4x1+x2+x3=30           2x1+3x2+x3≤60…

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

A:

Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.