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Problem 2 (25 points) For the following linear programming problem, determine the optimal solution by the...
4. Given the following linear programming problem, determine which situation (choose one) a. An optimal solution...
4. Given the following linear programming problem, determine which situation (choose one) a. An optimal solution exists at a single vertex point. b. There is more than one optimal solution. C. There is no optimal solution because the feasible region does not exist d. There is no optimal solution because the feasible region is unbounded. Maximize: 2x +3y Subject to: x +2y 28 5. Graph the inequality: 2x +3y >12 6. Graph the system of inequalities: 7. Graph the system...
3. Consider the following linear programming problem: Maximize 10X + 12Y Subject to: 8X + 4Y...
3. Consider the following linear programming problem: Maximize 10X + 12Y Subject to: 8X + 4Y ≤ 840 2X + 4Y ≤ 240 X, Y ≥ 0 Graph the constraints and shade the area that represents the feasible region. Find the solution to the problem using either the corner point method or the isoprofit method. What is the maximum feasible value of the objective function?
10. For the following linear programming problem, determine the optimal solution by the graphical solution method....
10. For the following linear programming problem, determine the optimal solution by the graphical solution method. Are any of the constraints redundant? If yes, then identify the constraint that is redundant. Max x + 2y s.t. x + y<= 3 x - 2y >=0 y<= 1 x, y >= 0 Please show all work in excel and step by step with formulas no solvers mode.
Solve the following linear programming problems as directed. Put in a box the values of all...
Solve the following linear programming problems as directed. Put in a box the values of all the variables you use in your solution, as well as the optimal value of the objective function. a) SIMPLEX METHOD Max Z = 11X1 + 10X2 s.t. 2 X1 + X2 <= 150 4 X1 + 3 X2 <= 200 X1 + 6 X2 <= 175 X1, X2 >= 0 b) GRAPHIC METHOD (do not forget to indicate the feasible region) Min Z = 30...
S- In the optimal table of the simplex for the following linear programming problem x1, x3,...
S- In the optimal table of the simplex for the following linear programming problem x1, x3, are the basic variables. Min Z=-5X1+3X2+X3 X1+X2-X3<=10 X1+X2+X3<=60 What is the range for the first constraint right hand side for which the optimal table remains feasible? a. b. Is it profitable to increase a unit of resource for the 2nd constraint, if each unit of this resource is purchased for $2? What is the value of objective function and decision variables for this problem?...
Explain why the linear programming problem has no optimal solution Maximize P = 2X7 + 8x2...
Explain why the linear programming problem has no optimal solution Maximize P = 2X7 + 8x2 subject to 3x4 - 5x2 5 15 X, X₂20 Choose the correct answer below O A. The feasible region for the problem is unbounded, because every point with coordinates (x,x), where x, 20 and X 20, satisfies the problem const O B. The feasible region for the problem is unbounded, because every point with coordinates (0x2), where x2 2 0, satisfies the problem constraint...
4. (hand solution) Use the graphical approach of linear programming to solve this problem; draw a graph and identify the feasible region Maximize f (x, y) = 10x-Sy subject to 4. (hand solution)...
4. (hand solution) Use the graphical approach of linear programming to solve this problem; draw a graph and identify the feasible region Maximize f (x, y) = 10x-Sy subject to
4. (hand solution) Use the graphical approach of linear programming to solve this problem; draw a graph and identify the feasible region Maximize f (x, y) = 10x-Sy subject to
alim Universitesi LMS adi Consider the following linear programming model Maximize z = 3x1 + 2...
alim Universitesi LMS adi Consider the following linear programming model Maximize z = 3x1 + 2 X2 s.t. Xi 54 X1 + 3x2 = 15 2X1 + X2S TO X 30 X220. Calculate the value of the objective function for each of the corner-point (extreme point) solutions. Use this information to identify the optimal solution. Fill the table below with your answers. Extreme-point (x1.x2) Objective Value feasible Z solutions
Given the following linear optimization problem
Given the following linear optimization problem Maximize 10x + 20y Subject to x+y ≤ 50 2x + 3y ≤ 120 X ≥ 10 X,y≥0 (a) Graph the constraints and determine the feasible region. (b) Find the coordinates of each corner point of the feasible region (c) Determine the optimal solution and optimal objective function value.
Explain the process of this problem to approach the correct answer. Thank you following Linear Programming...
Explain the process of this problem to approach the correct
answer. Thank you
following Linear Programming (LP) Consider the problem. Minimize Z= 4x1 + 2x2 Subject to (soto). 2x1 - x2 x1 + 2x2 X1 + x2 IVAN 1003 and Xizo x220 a. draw the feasible region and the objective function line bo Indicate all Corner point feasible solutions and the optimal Solution.
4. Given the following linear programming problem, determine which situation (choose one) a. An optimal solution exists at a single vertex point. b. There is more than one optimal solution. C. There is no optimal solution because the feasible region does not exist d. There is no optimal solution because the feasible region is unbounded. Maximize: 2x +3y Subject to: x +2y 28 5. Graph the inequality: 2x +3y >12 6. Graph the system of inequalities: 7. Graph the system...
S- In the optimal table of the simplex for the following linear programming problem x1, x3, are the basic variables. Min Z=-5X1+3X2+X3 X1+X2-X3<=10 X1+X2+X3<=60 What is the range for the first constraint right hand side for which the optimal table remains feasible? a. b. Is it profitable to increase a unit of resource for the 2nd constraint, if each unit of this resource is purchased for $2? What is the value of objective function and decision variables for this problem?...
Explain why the linear programming problem has no optimal solution Maximize P = 2X7 + 8x2 subject to 3x4 - 5x2 5 15 X, X₂20 Choose the correct answer below O A. The feasible region for the problem is unbounded, because every point with coordinates (x,x), where x, 20 and X 20, satisfies the problem const O B. The feasible region for the problem is unbounded, because every point with coordinates (0x2), where x2 2 0, satisfies the problem constraint...
4. (hand solution) Use the graphical approach of linear programming to solve this problem; draw a graph and identify the feasible region Maximize f (x, y) = 10x-Sy subject to
4. (hand solution) Use the graphical approach of linear programming to solve this problem; draw a graph and identify the feasible region Maximize f (x, y) = 10x-Sy subject to
alim Universitesi LMS adi Consider the following linear programming model Maximize z = 3x1 + 2 X2 s.t. Xi 54 X1 + 3x2 = 15 2X1 + X2S TO X 30 X220. Calculate the value of the objective function for each of the corner-point (extreme point) solutions. Use this information to identify the optimal solution. Fill the table below with your answers. Extreme-point (x1.x2) Objective Value feasible Z solutions
Explain the process of this problem to approach the correct
answer. Thank you
following Linear Programming (LP) Consider the problem. Minimize Z= 4x1 + 2x2 Subject to (soto). 2x1 - x2 x1 + 2x2 X1 + x2 IVAN 1003 and Xizo x220 a. draw the feasible region and the objective function line bo Indicate all Corner point feasible solutions and the optimal Solution.
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