Minimize the objective function 10x+6y subject to the constraints. y   ≥ −2x+11   y ≤ −x+10 y ≤ −13x+6 y ≥ −14x+4

Q: Find the maximum and minimum values. You will want to draw a graph to determine the intersections of…

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Q: Considers And find solutions Maximize 3x1 + x2 Subject to x1+x2 <4 3x1 x2 ≥2 x1, x2 ≥0

A: To solve this linear programming problem, we can use graphical or algebraic methods. Here, let's use…

Q: SIMPLEX METHOD MaxP= 16x+14y subject to 2x+y is less than or equal to 16 2x+3y is less than or equal…

A: Given Problem is We solve it by Simplex Method.

Q: Write the dual of the following LPP Minimise Z = 16x₁ + 9x₂ + 21x₃ Subject to the constraints: x₁…

A: Let us consider the primal problem: Min Z=cXAx≥bx≥0 Dual of primal problem is given by: Max…

Q: A decision problem has the following three constraints: 37X + 26Y <= 962; 18X + 20Y= 360; and 1X -Y…

A: Feasible solution region is obtained by intersection of all the constraints. Common region to all…

Q: ART Contractors must locate an equipment staging area to serve three construction sites, located at…

A: We have given location and related trips in aweek:

Q: Consider the linear program maximize 2x1 + x2 subject to 0≤ x ≤ 5 0 ≤ x2 ≤7 x1 + x2 ≤9. Convert the…

A: Objective Function: Maximize: Z = 2X1 + X2 Subject to: X1 + 0X2 ≤ 5 0X1 + X2 ≤ 7 X1 + X2 ≤ 9 X1, X2…

Q: Find the maximum and minimum values of the function f with constraint 64(x² + y²) ≤ 3.

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Q: Find the maximum value of the equation below subject to the constraint x² + x² = 1. Q(x) = 6x² +…

A: Given function :            Subject to constraint Using Lagrange multiplier to solve the problem,…

Q: Maximize p=9x1+2x2-x3 Subject to x1+x2-x30

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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: 3. The cost in dollars to produce x hundreds of nails is given by C(x)=x²-12x+41. What is the…

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

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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: Maximize x2y subject to the constraint that 1 > x+y.

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

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Q: For each of the following linear programs: (1) Sketch the feasible region of the linear program and…

A: Given linear programming problem isMaximize .Subject to:We have to find an optical solution of the…

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

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Q: Write the dual to the following problem. Maximize z = 2x1+ x2 + 3x3+ x4 subject to X1+ x2 + X3 + X4…

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Q: Factories 9x2 - y2 9(x-4)2-16

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Q: For the linear program Max 2A + 3B 1A+2B < 6 5A+3B 15 A, B ≥ 0 find the optimal solution using…

A: Given:For the linear programMax :2A + 3BSub to,1A+2B &lt; 65A+3B &lt;15A, B ≥ 0To find:The optimal…

Q: Minimize Z=-x₂ + 2x₂ subject to the constraints and (1-x₂ + 3x₂ ≤9 x.x₂ 20. (11) x₂ + x₂ ≤ 6. (11)…

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Q: Maximize N according to the constraints. Show solutions

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Q: subject to the constraints 8x – 11y < 12, 3x + 10y < 61, 11x – y 2 -40 Find the maximum value of the…

A: The following steps are used to find the solution of the linear programming problem by graphical…

Q: Calculate the maximum value of 10x + 5y subject to the constraints below: 2x + 2y  1 x > 0

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Q: Set up the simplex tableau. Do not solve. Maximize z = 160x₁ + 250x₂, subject to 85x₁ + 64x₂ ≤ 530…

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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: Use the inequalities from Exercise 2 and adding the maximization function Z = 120 x1 + 160x2 solve…

A: Given that the maximization function is Z=120x1+160x2 Subject to 2x1≤103x2≤11x1+x2≤5 And x1,x2≥0…

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

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Q: Min Z = 12X1 + 18X2 + 8X3  5X1 + 8X2 +9X2 >= 18  9X1 + 15X2 + 12X3 >= 36  10X1 + 15X2 + 12X3 >= 45…

A: Note:  In the first constrain  is given which is corrected to

Q: Solve the following problem using Simplex Method. Minimize the function f = 2x, - 4x, – 3x; subject…

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Q: M-Method. Consider the following set of constraints. Develop the z-row after substituting out the…

A: Max Z =   2 x1 - 7 x2 subject to - 2 x1 + 3 x2 = 3   4 x1 + 5 x2 ≥ 10   6 x1 + 7 x2…