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4. (-12 points) DETAILS ROLFFM8 3.3.009. Find the maximum value of the objective function 2 =...
3. Consider the linear programming problem with objective function Q = 4x – 3y and constraints:...
3. Consider the linear programming problem with objective function Q = 4x – 3y and constraints: 9x + 4y > 180, 3x + 8y > 120, 0 < x < 35, y > 0. Graph all constraints and show the feasible region and all corner points. Can the objective function be maximized? If so, find the maximum value of Q.
Graphical Method of Linear Programming 3. Find the minimum value of the objective function z =...
Graphical Method of Linear Programming
3. Find the minimum value of the objective function z = 5x + 7y, where x = 0 and y 0, subject to the constraints a. 2x + 3y 26 b. -x + y S4 c. 3x-y = 15 d. 2x + 5y = 27.
Find the Maximum Value of an Objective Function Given Constraints by Graphing Question Solve the following...
Find the Maximum Value of an Objective Function Given Constraints by Graphing Question Solve the following maximization problem graphically. P(x, y 5x 2y subject to r 2 2 Select the correct answer below: O 30 48 O 22 O 28
Find the indicated maximum or minimum value of the objective function in the linear programming problem....
Find the indicated maximum or minimum value of the objective function in the linear programming problem. Maximize f - 30x + 40y subject to the following constraints. x + 2y = 48 x + y s 30 2x + y 50 x 20, y 20 Need Help? Read It Vatch It Talk to a Tutor -/12.5 POINTS HARMATHAP9 4.2.015.MI. EE Solve the following linear programming problem. Restrict x 20 and y 20. Maximize = 3x + 5y sub/ect to the...
mize the functi 2x + 2y = 1 19. Explain why it is impossible to maximize...
mize the functi 2x + 2y = 1 19. Explain why it is impossible to maximize z = 3x + 4y subject to the constraints x + y 28 2x + y = 10 x + 2y = 8 + > 0, y = 0. mize the function 20. Explain why it is impossible to maximize the z = 4x + 7y subject to the constraints 8y + 5x 2 40 4y + 9x = 36 11y + 2x =...
find the minimum and maximum values of the objective function and where they occur, subject to...
find the minimum and maximum values of the objective function and where they occur, subject to the indicated constraints. (For each problem the graph of the region determined by the constraints is provided.) a. Objective function b. Objective function: z=10x + 7y Constraints: Constraints: x e 0 0 sxs 60 0 s ys 45 5x + 6y 420 5 t (0, 5) 6叶(0.45) 40 20 (60, 20) (30, 45) (0,0) 5,0) 1 2 3 4 5 6 (0, 0) (60,...
An objective function and a system of linear inequalities representing constraints are given. Complete parts a...
An objective function and a system of linear inequalities representing constraints are given. Complete parts a through c. Objective Function z = 4x-3y Constraints 25x56 y22 x-y2-4 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system. Click to enlarge graph b. Find the value of the objective function at each corner of the graphed region. (Use a comma to separate answers as needed.) c. Use the values in part (b) to determine...
8. (-/2 points) DETAILS HARMATHAP114.3.019.MI. MY NOTE Use the simplex method to maximize the given function....
8. (-/2 points) DETAILS HARMATHAP114.3.019.MI. MY NOTE Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize - 3x + 10y subject to 14x + 7y s 49 5x + 5y s 70. (x,y) - f Need Help? Watch it Master 9. (-/51 Points) DETAILS HARMATHAP114.3.019.MI.SA. MY NOTE: This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped...
Ay 15 o o 12 An objective function and a system of linear Inequalities representing constraints...
Ay 15 o o 12 An objective function and a system of linear Inequalities representing constraints are given Complete parts a through a Objective Function zu 4x - 2y Constraints 25x8 y22 x-12-2 6 -15 129 3 - 9 15 12 3 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system Click to enlarge graph Click the graph, choose a tool in the palette and follow the instructions to create your graph....
Find the solution of the objective function for problems (a) - (b) below. For each problem,...
Find the solution of the objective function for problems (a) -
(b) below. For each problem, confirm that the optimum satisfies the
Kuhn-Tucker conditions. At each solution, describe whether the
constraint(s) is binding.
Mathematics for Economists Ken Danger Problem Set 13 1) Find the solution of the objective function for problems (a) - (b) below. For each problem, confirm that the optimum satisfies the Kuhn-Tucker conditions. At each solution, describe whether the constraint(s) is binding. a) Minimize the cost function...
3. Consider the linear programming problem with objective function Q = 4x – 3y and constraints: 9x + 4y > 180, 3x + 8y > 120, 0 < x < 35, y > 0. Graph all constraints and show the feasible region and all corner points. Can the objective function be maximized? If so, find the maximum value of Q.
Graphical Method of Linear Programming
3. Find the minimum value of the objective function z = 5x + 7y, where x = 0 and y 0, subject to the constraints a. 2x + 3y 26 b. -x + y S4 c. 3x-y = 15 d. 2x + 5y = 27.
Find the Maximum Value of an Objective Function Given Constraints by Graphing Question Solve the following maximization problem graphically. P(x, y 5x 2y subject to r 2 2 Select the correct answer below: O 30 48 O 22 O 28
Find the indicated maximum or minimum value of the objective function in the linear programming problem. Maximize f - 30x + 40y subject to the following constraints. x + 2y = 48 x + y s 30 2x + y 50 x 20, y 20 Need Help? Read It Vatch It Talk to a Tutor -/12.5 POINTS HARMATHAP9 4.2.015.MI. EE Solve the following linear programming problem. Restrict x 20 and y 20. Maximize = 3x + 5y sub/ect to the...
mize the functi 2x + 2y = 1 19. Explain why it is impossible to maximize z = 3x + 4y subject to the constraints x + y 28 2x + y = 10 x + 2y = 8 + > 0, y = 0. mize the function 20. Explain why it is impossible to maximize the z = 4x + 7y subject to the constraints 8y + 5x 2 40 4y + 9x = 36 11y + 2x =...
find the minimum and maximum values of the objective function and where they occur, subject to the indicated constraints. (For each problem the graph of the region determined by the constraints is provided.) a. Objective function b. Objective function: z=10x + 7y Constraints: Constraints: x e 0 0 sxs 60 0 s ys 45 5x + 6y 420 5 t (0, 5) 6叶(0.45) 40 20 (60, 20) (30, 45) (0,0) 5,0) 1 2 3 4 5 6 (0, 0) (60,...
An objective function and a system of linear inequalities representing constraints are given. Complete parts a through c. Objective Function z = 4x-3y Constraints 25x56 y22 x-y2-4 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system. Click to enlarge graph b. Find the value of the objective function at each corner of the graphed region. (Use a comma to separate answers as needed.) c. Use the values in part (b) to determine...
8. (-/2 points) DETAILS HARMATHAP114.3.019.MI. MY NOTE Use the simplex method to maximize the given function. Assume all variables are nonnegative. Maximize - 3x + 10y subject to 14x + 7y s 49 5x + 5y s 70. (x,y) - f Need Help? Watch it Master 9. (-/51 Points) DETAILS HARMATHAP114.3.019.MI.SA. MY NOTE: This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive any points for the skipped...
Ay 15 o o 12 An objective function and a system of linear Inequalities representing constraints are given Complete parts a through a Objective Function zu 4x - 2y Constraints 25x8 y22 x-12-2 6 -15 129 3 - 9 15 12 3 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system Click to enlarge graph Click the graph, choose a tool in the palette and follow the instructions to create your graph....
Find the solution of the objective function for problems (a) -
(b) below. For each problem, confirm that the optimum satisfies the
Kuhn-Tucker conditions. At each solution, describe whether the
constraint(s) is binding.
Mathematics for Economists Ken Danger Problem Set 13 1) Find the solution of the objective function for problems (a) - (b) below. For each problem, confirm that the optimum satisfies the Kuhn-Tucker conditions. At each solution, describe whether the constraint(s) is binding. a) Minimize the cost function...
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