Given the LP problem: Maximize Z = 3X1 + 5X2, Subject to: X1 + 2X2 < 50, - X1 + X2 > 10, X1 > 0 X2 > 0,

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Q: Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=2x−4y subject to the…

A: Given a function : f(x,y)=2x-4y subject to the constraint (say g(x, y)) : x2+3y2=84 We have to use…

Q: Solve the given L.P. problem by the graphical method. Maximize  Z = 50x1 + 60x2…

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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: A piece of wire of length 58 is​ cut, and the resulting two pieces are formed to make a circle and a…

A: Let the circle gets x units and the square gets (58-x) units x is from 0 to 58   Let radius of the…

Q: Given the LP problem: Maximize Z = 3X1 +5X2, Subject to: X1 + 2X2 ≤ 50, - X1 + X2 ≥ 10, X1 ≥ 0 X2 ≥…

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Q: 1. A cable wire 100 meters long is to be cut into two pieces. One of the pieces will be bent into…

A: Let length of one part is x  Therefore length of another part is (100-x)

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

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Q: For the given feasible region, the optimal minimum value of the objective function z=5x+3y is at…

A: Graph of  Z=5x+3y for constant Z will be:

Q: Consider the maximization problem: Maximize P = 2x1 – 3x2 + 4x3, subject to: 4x — Зx2 + х 0. If the…

A: Problem is Max P =   2 x1 - 3 x2 + 4 x3 subject to   4 x1 - 3 x2 +   x3 ≤ 3…

Q: Solve the following LP problem by using the graphical procedure and by using Excel: Minimize cost =…

A: Linear Programing is a mathematical technique to optimize given constrains.

Q: The constraints and the objectives that are used to "reduce the amount of overtime for both machines…

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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: Question3: Solve the following LPP graphically and state which type solution of solution problem…

A: a) The graphical plot of the constraints is shown below : We observe that there is no overlap of…

Q: A box with a rectangular base is to be constructed of material costing $2/square inches for the…

A: Given problem is : A box with a rectangular base is to be constructed of material costing $2/square…

Q: Solve the LP problem below using the graphical method: Minimize 6x + 4y subject to 4x + 12y 2 96 8x…

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Q: Maximize Subject to Maximum is X = y = z = 2x + y x + 5y < 4x + 5y ≤ X Y 25 40 νι νι ΛΙ ΛΙ 00 at

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Q: Convert the following problem to standard form and solve. Maximize x1 + 4x2 + X3 Subject to 2x1 –…

A: We will use Microsoft Excel Solver to solve this.

Q: Find all the basic solutions of the following LP problem Maximize Z = 2x₁ − 4x2 + 5x3 − 6x4 Such…

A: There are 4 variables and 3 constraints. So, we obtain the basic solution by putting 4-2=2 variable…

Q: Question.2. Find graphically the feasible Maximize- 1170x1 + 1110x2 Subject to: 9x1 + 5x2 2 500 7x1…

A: The given problem is  Maximise z= 1170x1+1110x2subject to…

Q: Use the indicated region of feasible solutions to find the maximum and minimum values of the given…

A: We will answer the first question only as we don't answer multiple questions at a time. Please…

Q: A manufacturer has determined that the total cost C of operating a factory is C = 2x² + 60x + 200,…

A: Given problem:- A manufacturer has determined that the total cost C of operating a factory is   C =…

Q: LPP by the graphical method. minimize 20x1+10x2 subject to x1 + 2x2 ≤40, 3x1 + x2 ≥30, 4x1 + 3x2…

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Q: 1) Maximize z = 4x1 + 2x2 subject to: 2x1 + 3x2 <6 X1 + 3x2 < 4 2x1 + 2x2 <8 X1 20, x2 20 with

A: Here we solve the given problem of LPP by simplex method.

Q: What is the optimal solution for the following problem? Maximize P = 3x + 15y subject to 2x + 4y ≤…

A: The given linear programming problem is                     Maximize P = 3x + 15y subject to 2x + 4y…

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: Solve the optimization problem.  Maximize P = xy with x + 2y = 38. P =

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Q: Use the indicated region of feasible solutions to find the maximum and minimum values of the given…

A: z=7x+8y The given Optimal equation has a feasible graphical solution is given as And this solution/…

Q: A manufacturer has determined that the total cost C of operating a factory is C = 0.5x² + 15 + 5000…

A: Given cost function is C=0.5x2+15x+5000 The average cost per unit is given by…

Q: Solve the following LP problem. Use the M-method to handle artificial variables. Minimize 4x1 + x2…

A: Given that Minimize 4x1+x2 Subject to  3x1+x2=34x1+3x2≥6  x1+2x2≤4        x1,x2≥0

Q: It has been said each LP problem that has a feasible region has an infinite number of solutions?…

A: In each LPP, since the feasible region is continuous, and if we can consider accepting non-integer…

Q: Solve the following LPP using Big M Method Problem -1 Minimize Z = 7x1 + 15x2 + 20x3 Subject to…

A: The big m method is a modified version of the simplex method in linear programming (LP) in which we…

Q: Find r and h that minimize S subject to the constraint V = 54n.

A: Here V=54π and we should minimize  S=2πrh+2πr2 under the constraint V=54π=πr2h V(r,h)=πr2h-54π

Q: Solve the following problem by using M-Technique Method. Maximize:- z= x₁ + 2x₂ + x₃ s.t x₁ + x₂ +…

A: Given,Max Z = x1 + 2x2 + x3subject tox1 + x2 + x3 = 72 x1 - 5 x2 + x3 ≥ 10and x1 ,x2 ,x3≥0

Q: You have a wire of length 2 m, which you can bend either into a square or a circle. You also have…

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Q: Suppose a manufacturer has determined that the total cost C of operating a factory is C =0.4x² + 17x…

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Q: A closed rectangular box is made with two kinds of materials. The top and bottom are made with…

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Q: Use the Lagrange multiplier method to solve Minimize z = x} + x + x Subject to x, + 2x, + 3x3 = 7…

A: We have to solve the following problem using the Lagrange multiplier, Min z=x12+x22+x32 Subject to :…

Q: Given the LP problem, Maximize z = 5x + 2y subject to x + 3y < 5, 2x + y < 2, x + y < 3, х,у 20. a)…

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Q: Analyze and solve LP problem below by graphical method Minimize C= 6x +16y Subject to:  x+y=400…

A: Solution of LPP by the graphical method: After formulating the linear programming problem, our aim…

Q: corresponding graph below. Maximize z = 5x + 4y Subject to: 3x + 2y = 8 x >= 0 y >= 0   From the…

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Q: Solve the LP problem. If no optim Minimize c = x + y subject to x+3y2 8 3x + y2 8 x2 0, y 2 0. 3つ =…

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Q: Find the multiple solutions. Maximize  z = 45x1 + 30x2,  subject to 2x1  +  9x2  ≤  144 2x1  +…

A: z=45x1 +30x2subject to 2x1 +9x2 ≤1442x1 +3x2 ≤603x1 +2x2 ≤75x1 ≥0 , x2 ≥0  To find : Maximum value…

Q: Solve the LP problem. If n op lo ou Maximize p =x-2y subject t x+2ys 7 05 y 5x-4y 2 0 x2 0, y 2 0.…

A: Given linear programing problem is Maximize p=x−2y Subject to x+2y≤7x−5y≤05x−4y≥0 and x≥0,y≥0. Draw…

Q: Use the simplex method to solve the following problem and verify the solution by the graphical…

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Q: Find the values of x, y that maximize 7. - 2x? - 2xy - +x+ 9y 13 subject to the constraint x+ y -…

A: The solution of the problem is given in the next step.

Q: Find the optimal solution for the following problem. (I Minimize C = 11x + 5y subject to 10x + 12y >…

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Q: Find solution using graphical method and then solve it by using LINGO Maximize Z = 15x1 + 10x2…

A: Given LPP problem is  Maximize Z=15x1+10x2 Subject to  4x1+6x2≤3603x1≤1805x2≤200x1,x2≥0 To solve the…

Q: A rectangular garden of area  64m^2 is to be constructed using rock walls for  two adjacent sides…

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Q: For the feasible set in the figure to the right, determine x and y so that the objective function 5x…

A: The objective function 5x+6y