Create a problem and define the decision variables to meet the following LP formulation. A LP model is constructed for you, you will just write down a problem according to this LP formulation.  Max Z= 2x1 + 3x2+ 5x3      subject to x1+ x2+ x3 ≥ 30 2x1 +3x2+ 4x3 ≤ 100 x1 - 2x2 ≤ 0 x1- x3 ≤ 50 x1, x2, x3 ≥ 0

Q: Prove by strong induction that it will take exactly mn rate the chocolate bar into individual…

A: To prove that it will take exactly mn - 1 breaks to completely separate the chocolate bar into…

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: You are given a real number N. How should you write it as a sum of two real numbers so that their…

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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: The manager has fomulated the following LP product mix problem Solve this graphically МАХ 4X, + 5X,…

A: Find solution using graphical methodMAX Z = 4x1 + 5x2subject to4x1 + 2x2 &lt;= 1203x1 + 6x2 &lt;=…

Q: Maximize subject to P = 5x₁ + 2X₂ X3 - x₁ + x2-x3 ≤6 2x₁ +4x2 + 3x3 ≤ 18 х1, х2, хз 20

A: The given LPP,Maximize Subject toWe have to find the optimal solution of the LPP.

Q: What if you were to square root both sides of this constraint. Wouldn't you get x1-x3>=4? Or is that…

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Q: maximize: 7x1 + 8x2 subject to: 4x1 + x2 ≤ 100 x1 + x2 80 x1 <40

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Q: The value of a share of I. J. Solar can be represented by V1x2 =x 2 -6x+13, where x is the number of…

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Q: Variable Cells Objective Allowable Coefficient Increase Reduced Allowable Decrease 12 0.628571429…

A: a) Objective function is: Max 12X1+8X2+10X3+6X4…

Q: Find the maximum value of f, X)- 4x + 4x + 8xy subject to the following constraints. Write the exact…

A: The problem is converted to canonical form by adding slack, surplus and artificial variables as…

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

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Q: A department chairperson has 4 teachers to assign to 4 different subjects (W, X, Y, Z). All teachers…

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Q: For the same n and x, the value of nPx is greater than the value of nCx True or False

A: We know that  Combination formula                         nCx = n!/(n-x)!x! And.  Permutation…

Q: Maximize P = 24x1+ 14x2 0 20x1 + 3x2 subject to

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

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Q: Live filming of a TV show is to take place in the park. Due to the shape of the open area, seats are…

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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: e 60x1 + 70x2 Subject to: 2x1 + x2

A: Given,   Maximize           60x1+70x2Subject to coinstraint:            2x1+x2≤300…

Q: what will you use as a multiplier and and on witch equation  x+6y=17 x-3y=8

A: We multiply equation second with 2.

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

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Q: maximize P=5x1+2x2-x3 x1+x2-x3=0

A: According to the given information, it is required to maximize the given problem.

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: Find the maximum value of I+y subject to the constraint r + y? = 18.

A: To solve this problem, we will use the method of Lagrange's multiplier . The given optimization…

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

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