Find the Maximum Value of an Objective Function Given Constraints by Graphing Question Solve the following...
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...
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 maximum and minimum of the objective function: F =3x+2y subject to constraints: x > 0 y > 0 x + 2y < 4 x - y<1 Maximum value = 8, at point (0,4) Minimum value =0, at point (0, 0) Maximum value = 8, at point (8/3, 0) Minimum value =0, at point (1, -3/2) Maximum value = 8, at point (2, 1) Minimum value =0, at point (-2/3, 1) Maximum value = 8, at point (2, 1)...
4. (-12 points) DETAILS ROLFFM8 3.3.009. Find the maximum value of the objective function 2 = 14x + 4y, subject to the following constraints. (See Example 2.) 5x + y s 35 9x + 3y S 81 x 0,Y 20 The maximum value is z = at (x,y) -
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...
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...
Maximize the objective function 3x + 5y subject to the constraints. x + 2y = 32 3x + 2y = 36 X58 X20, y20 The maximum value of the function is The value of x is The value of y is
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,...
14. Find the minimum and maximum values of z = 2x + 3y (if possible) for the following set of constraints. 2x+y ≤ 20 10x+y≥36 2x+5y≥36 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is _______ B. There is no minimum value.11. Use graphical methods to solve the following linear programming problem. Maximize: 2=5x+y subject to: x-y≤11 5x+3y≤75 x≥0, y≥0 Graph the feasible region using the graphing tool to the right.4. The graph shows a region of feasible solutions. Use this...
Use the simplex method to solve the following maximum problem: Maximize P= x1 +2:02 Subject to the constraints: 2x1 + x2 < 8 21 +2y < 5 X1 > 0 22 > 0 and using your final tableau answer the questions below by entering the correct answer in each blank box. Please enter fractions as 3/5, -4/7, and so on. 21 2 P=