Maximize subject to the constraints 13x1 x1 P = 10x₁ + 11x₂ + x3 x2 + 10x2 x1 ≥ 0 + 15x3 ≤ 70 7x3 44 x₂ > 0 x3 > 0

Q: . Maximum profit occurs at those x-values for which R'(x) = C'(x) and R"(x) < C"(x), where R(x) is…

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Q: 65x+ys13 x23

A: Definition used -     Optimization using graphing- We graph inequalities and find the feasible…

Q: Use the simplex method to maximize subject to P = -X1 P= 5x₁ + 8x2 + 2x3 X₂ +5x2 X1 + x₁ 20 +7x3 ≤…

A: The LPP is: Maximize P=5x1+8x2+2x3Subject to-x1+x2+7x3≤12-x1+5x2+2x3≤10x1+8x2+9x3≤13x1, x2, x3≥0 We…

Q: Maximize C- 16A +21B subject to 9A + 15B ≤ 22 10A + 3B ≤29 and A≥ 0.820. What is the maximum value…

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Q: The point (x₁, x₂) = (4, 3) is feasible for the constraint 3x₁ + 5x₂ ≤ 40. True False

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Q: Minimize g = 7 + 6y subject to 5x + 2y > 16 3x + 7y 2 27

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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: Q3/ Use the graphical method to solve the following LP problem. Minimize Z=-x, + 2x₂ subject to the…

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Q: Maximize subject to the constraints P = 5x₁ + x₂ 9x₁ + x₂ ≤ 6 10x₁ - x₂ 28 X₂ 20 x₁ 20

A: The given LPP, Maximize P=5x1+x2. Subject to the constraints, 9x1+x2≤610x1-x2≥8x1, x2≥0 We have to…

Q: find the maximum and minimum values of the objective functions given the constraint - (9x + 5y) 4x –…

A: We have to find the maximum and minimum values of the objective functions z1=-9x+5y and z2=9x-9y

Q: Maximize P = 10x1+ 2x2 subject to X1+ x2 0

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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: Maximize 60x+90y+300z subject to the constraints below. X 2x x20, yz0, zzo X + + 5y y + + N N VI VI…

A: Maximize w=60x+90y+300z Subject to x+y+z≤400x+5y≤4002x+z≤500x, y,z≥0 We have to solve the given…

Q: Minimize the objective function 10x+6y subject to the constraints. y   ≥ −2x+11   y ≤ −x+10 y ≤…

A: This problem is infeasible because these is no common point which satisfies all the constraints.

Q: Maximize and Minimize P=2x+y Subject to x+y&lt;or= 5                     -x+3y&lt;or=3…

A: To determine: Maximize and Minimize:

Q: Subject to: P = 12x₁ + 3x2 + x3, 10x1 + 2x2 + 3x3 7x1 + 3x2 + 2x3 2x1 + 4x2 + x3 X1, X2, X3 < 100…

A: We solve by Simplex method.

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: Minimize C=20x₁ + 2x2 subject to 4x1 + x₂ 221 3x₁ + x₂ 25 X₁, X₂ 20 a. Form the dual problem.…

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

A: Consider the given problem.

Q: Maximize P3D3X+3y Subject to 2x+y s 10 x+2y s 8 X, y 2 0

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

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

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Q: Minimize the objective function 40x₁ + 10x2 +70x3 subject to the constraints: 4x₁ + 2x3 ≥ 2 2x₁ + x₂…

A: Solution:Problem is Min Z =   40 x1 + 10 x2 + 70 x3 subject to   4 x1       + 2…

Q: Set et up the Simplex tubleau Maximize P=9x+ 24+ 7z Where Sx+34+102/317 4x-lay-97<=32 dx +lay +57=…

A: let  p as Z and X as X1 , y as X2 , Z as X3 Find solution using Simplex method (BigM method) MAX Z =…

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

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Q: Solve the following problem using artificial variables. Maximize z= 3x₁ + 2x₂ subject to the…

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Q: A company manufactures and sells x television sets per month. The monthly cost and price-demand…

A: Kindly see attached photos.

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: 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: Use the simplex method to find the

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

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

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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: Maximize z = 4x1 + 17x2, subject to 5x215 4x1 + 3x1 + X2 ≤ 30 X1 ≥ 0, X2 ≥ 0.

A: Maximize  subjected to