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Maximize and minimize p = 2x − y subject to x + y ≥ 1 x − y ≤ 1 x − y ≥ −1 x ≤ 7, y ≤ 7. Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT (See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize and minimize p = 2x - y subject...
2. Minimize: C-2x+5) Subject to: 4x+y 240 2? + ? 230 x+3y 2 30 x20,y20 ) Type in the corner points found and their corresponding Cost b) What is the minimum cost?
(3 points) Maximize the function P = 7x – 8y subject to x > y > 6x + 5y = ( 10x + 2y > ΛΙ ΛΙ V 0 0 30 20 What are the corner points of the feasible set? The maximum value is and it occurs at . Type "None" in the blanks provided if the maximum does not exist.
find the solution simplex method Maximize 2x + 5y subject to the constraints 5x + y = 60 5x + 2y = 80 X20,y20 5x + 2y + y = 80 2x + 5y + M = 0 D. 5x +y+c= 60 5x + 2y + y = 80 - 2x - 5y + M = 0 Find the solution x= y=(,m=0 (Type integers or decimals.) ne Enter your answer in the edit fields and then click Check Answer.
Solve the following linear programming problem. Maximize: z=6x + 3y subject to: 4x - ys 15 2x + y2 13 x24 The maximum value is (Type an integer or a simplified fraction)
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.
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
p x + y+ 2z Subject to x+ 2y + 2z 60 2x +y + 3z 60 +3y+ 6z s 60 Maximize x, y,z 2 0 p x + y+ 2z Subject to x+ 2y + 2z 60 2x +y + 3z 60 +3y+ 6z s 60 Maximize x, y,z 2 0
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?
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