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)...
5. (hand solution) Use the graphical approach of linear programming to solve this problem; draw a graph and identify the feasible region A business provides two services: A and B. Service A requires 60 minutes to complete, costs $5 in material (ignore labor costs), and produces $3 in profit. Service B requires 60 minutes to complete, costs $12 in material (ignore labor costs), and produces $12 in profit. The total value of materials that can be kept on hand 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
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?
Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Maximize Subject to X Y 156 Sy 5 220 The maximum value of 2 is Additional Materials Book Submit Answer Practice Another Version -/14.28 points TEAFM2 3.3.018. Solve the linear programming problem. (If there is no solution, enter NO SOLUTION.) Minimize X+Y Subject to 2x + y 2 27 *+ 2y 2 27 Minimum value is - Additional Materials eBook
Solve by Linear Programming. (Be sure to show the graph of the feasible region, the appropriate vertices, optimal value, AND SHOW ALL WORK!.) Exercise 1 LP 1. Maximize: C = x – y Constraints: x ≥ 0, and y ≥ 0 x + 3y ≤ 120 3x + y ≤ 120 Exercise 2 LP 2. Maximize: C = 3x + 4y Constraints: x + y ≤ 10 – x + y ≤ 5 2x + 4y ≤ 32
a) Solve the following problem using graphical method (using the following graph): Minimize f(x,y) - 2x-y subject to the constraints x2+y's 20 y<x (1) (2) (In the space provided below the graph, please write down your solution clearly) we wish to solve the above problem using Exterior Penalty Function approach. Define b) Suppose augmented cost function and explain how to use it to find a solution to the above problem. a) Solve the following problem using graphical method (using the...
Solve the linear programming problem. Minimize and maximize z=50x+10y Subject to 2x+y ≥ 32 x+y ≥ 24 x+2y ≥ 28 x, y ≥ 0
Use the method of this section to solve the linear programming problem. Maximize P = x − 3y + z subject to 2x + 3y + 2z ≤ 4 x + 2y − 3z ≥ 2 x ≥ 0, y ≥ 0, z ≥ 0 The maximum is P = at (x, y, z) = .
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...
Solve the given linear programming problem using the simplex method. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. (Enter EMPTY if the feasible region is empty and UNBOUNDED if the objective function is unbounded.) Minimize c = x + y + z + w subject to x + y ≥ 80 x + z ≥ 60 x + y − w ≤ 50 y + z − w ≤ 50...