Maximize P = 4x + 5y subject to 2x + y < 50 2 + 3y < 75 2 > 0 y > 0 Identify the feasible region as bounded or unbounded: List the corner points of the feasible region, separated by a comma and a space. If the region is unbounded, create appropriate ghost points and list those as well. For each corner point, list the value of the objective function at that point. The format should be (x1,y1)...
8 Minimize z= x + 3y 9 + 22 54 + 4yΣ Subject to 2y + 2 > ΛΙ ΛΙ ΛΙΛΙ ΛΙ 14 O Σ Ο Minimum is Maximize z = 4x + 2y 32 + 4y < < 32 5x + 5y < Subject to 0 VI VI ALAI y 0 Maximum is
L.P. Model: 20- Maximize Subject to: 18- Z= 2X + 8Y 1X + 2Y = 6 5X + 1 Y = 20 X,Y 20 (C1) (C2) 16- 14- On the graph on right, the constraints C, and Cy have been plotted. 12- Using the point drawing tool, plot the four corner points for the feasible area. 10- 8- 6- 4- 2- 0- 0 2 4 6 00- 12 14 16 00 20 10 X
We will use u and v as our dual variables. Maximize 12x +15y subject to 5x+4y < 40 Given the following Maximize 3x +2y < 36 x,y 20 Set up the dual problem The dual objective function is One constraint is Another constraint is The variables are You are given the following problem; Maximize 10x+15y subject to 6x+3y < 96 x+y = 18 X.y 20 Based on this information which tableau represents the correct solution for this scenario?
(4 points) Consider the following maximization problem. Maximize P = 14x + y - 10z subject to the constraints 12x - y + x - 2y + 7x + 142 < 85 2z = 52 9z S 40 x>0 y> z> 0 Introduce slack variables (denoted u, V, and w) and set up the initial tableau below. Keep the constraints in the same order as above, and do not rescale them. Constant
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?
Find the minimum and maximum values of z = 10x + 8y subject to the following constraints: 2x + 4y = 28 5x -2y = 10 x > 0 y > 0 Minimum value of Preview when x= Preview and y= Preview Maximum value of Preview when x= Preview and y= Preview
(1 point) Find the minimum and maximum of the function z-6x - 4y subject to 6x-3y 15 6x +y < 49 What are the corner points of the feasible set? The minimum is and maximum is . Type "None" in the blank provided if the quantity does not exist.
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
Use graphical methods to solve the following linear programming problem. Maximize: z= 3x + y subject to: x-ys7 3x + 5y = 45 X20, y20 Graph the feasible region using the graphing tool to the right. Click to enlarge graph , at the corner point The maximum value of z is (Simplify your answers.) of T o to 12 14 16