Solve the given L.P. problem by the graphical method. Maximize  Z = 50x1 + 60x2                             Subject to :        2 x1 +3 x2  ≤ 1500                                                         3x1 + 2x2  ≤ 1500                                                                x1  ≤ 400                                                                  x2 ≤ 400                                                             2x1  ≤ 3x2             Where                                    x1, x2 ,  ≥ 0

Q: Consider the problem Maximize z = x1 + x2 subject to 2x1 + x2 < 6 X1 + 2x2 < 6 X1 + x2 2 0 (a) Show…

A: We will answer the first question since we answer only one question at a time. Please resubmit the…

Q: Find the maximum of the objective function C = 3x + 3y subject to the feasible region below. 12- 10-…

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Q: Use Simplex method to solve the following system : Maximize P - 0.5x + 3y + Z Subject to X + y+ Z <…

A: To solve  Max P=-0.5x+3y+zSubject to,x+y+z&lt;402x+y-z&lt;10-y&lt;10 Using simplex method.

Q: Consider the all-integer linear optimization problem below: Max 5X1+8X2 Subject to (s.t) 6X1+5X2=0…

A: The given linear programming problem can be solved in excel as follows: Step 1: Put the data onto…

Q: Find the maximum value of the objective function z = 23x + 9y, subject to the following…

A: Find the maximum value of the objective function  z = 23x + 9y,  subject to the following…

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: Using the Graphical and Simplex Methods; Determine what values of x and y will maximize the…

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Q: Graph the region determined by the constraints x ≥ 0, y ≥ 0, x + y ≤ 8, 3x + 2y ≥ 6. Then find the…

A: Now,

Q: Graph the region determined by the constraints 0 ≤ x ≤ 5, 0 ≤ y ≤ 7, x + y ≥ 3. Then find the…

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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: Solve the given linear program by graphical method. Maximize: P = 4x + 6y Subject to: 2x + 3y ≤ 24…

A: We have: Maximize : P=4x+6ySubject to : 2x+3y≤24x-y≤7y≤6x,y≥0 Let us make the graph of the…

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

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Q: Minimize the objective function C, subject to the given constraints. C=20x+10y 5x+y less than…

A: The answer is found in step-2

Q: Find the maximum value of the objective function z = 3x + 5y subject to the following constraints: x…

A: Given that, Max z=3x+5ySubject tox≥0y≥0x+y≤6x≥2

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: Find the maximum and minimum values of the given objective function on the indicated feasible…

A: Given  P=130-x+3yx≥0, y≥02x+y≤62x+4y≤16

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: Solve the following linear programming model graphically: minimize Z = 5x1 + X2 subject to 3x + 4x,…

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Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

A: We have to solve for x1 and x2 using the simplex method.

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

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Q: 1.Solve the problem below by using computer solution Maximize Z = 3x1 + 6x2 Subject to : 3x1 + 2x2…

A: We solve the problem by using computer by using (Big - M) Simplex method.

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: What is the maximum value? At what point is it obtained? Solve the given linear programming problem.…

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Q: Consider the following problem. Maximize z = 3x1 – 8x2 Construct the dual problem, and then find…

A: Given that, the objective function is ZMax=3x1-8x2 subject to the constraints are, x1-2x2≤10x1,x2≥0…

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: Find the optimal solution for the following problem. Minimize C = 4x + 12y + 3z 15x + 5y + 12z 2 75…

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Q: Use Dual Simplex Method to solve the following optimization problem: Minimize: z = 6x, +3x2 +4x3…

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Q: Solve the linear programming problem.  Maximize z=15x+15y subject to 8x+6y greater than or = to…

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Q: Solve the given linear programming problem. Minimize z = 4x+ 3y subject to x20, y2 0, x+ y24, xs7,…

A: Given 2=4x+3yx≥,0,y≥0x+y≥4x≤7y≤6

Q: Use the Simplex Method to solve for X1 and X2: Objective function: Maximize z = 4x₁ + 3x₂ Subject…

A: Please see the attachment

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: 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: Maximize and minimize the objective function z = x - y subject to the constraints x² +y? < 8;

A: Given that maximize and minimize the objective function  z=x-y subject to the constraints…

Q: Solve the following problem using the simplex method: Maximize: z=2x+3y table row cell 2 x minus y…

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Q: Find the maximum value of the objective function z = 3x + 5y subject to the following constraints: x…

A: Consider the objective function z=3x+5y Constraints x ≥ 0y ≥ 0x + y≤6x ≥ 2

Q: Maximize z = 8x + 2y, subject to the following constraints. (If an answer does not exist, enter…

A: Given the equation: z=8x+2y constraints: 2x-5y≤10; -2x+y≤2; x≥0; y≥0   To find the maximum value of…

Q: Find the maximum of the objective function C = 4x + 10y subject to the feasibility region below. 12…

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Q: Find the maximum and minimum values of the given objective function on the indicated feasible…

A: To find maximum and minimum value of the objective function, we have to draw the feasible region of…

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: Maximize the value of z = 4x₁ + 6x2, where x₁ and x₂ ≥ 0, subject to the following constraints. -x₁…

A: Given: The LP problem, Maximize, z=4x1+6x2Subject to -x1+x2≤11                       x1+x2≤27…

Q: Consider the following problem: Maximize 10x, + 24x2 + 20x3 + 20x4 + 25x5 St. X1 + x2 + 2x3+ 3x4 +…

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Q: The graph of the solution region for a system inequalities is shown below. 15 14 13 12 10 -7 -2 10…

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Q: Solve the given linear program by graphical method. Maximize: P = 5x + 8y   Subject to: x + (3/2)y…

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Q: Use the given feasible region determined by the constraint inequalities to find the maximum possible…

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Q: Classify the problem below as having multiple optimal solutions, having no feasible solution, or…

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Q: 0, 259 (180, 120) 260, 0) z = 12x + 10y

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Q: What combination of x and y will provide the optimal solution and maximize the objective function…

A: I have solved using simplex algorithm

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

Q: Find the minimum value of f subject to the given constraint (x.y) = 2x2 +y?; 2x + 3y = 44

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