4. Given the following linear programming problem, determine which situation (choose one) a. An optimal solution...
Explain why the linear programming problem has no optimal solution Maximize P = 2X7 + 8x2 subject to 3x4 - 5x2 5 15 X, X₂20 Choose the correct answer below O A. The feasible region for the problem is unbounded, because every point with coordinates (x,x), where x, 20 and X 20, satisfies the problem const O B. The feasible region for the problem is unbounded, because every point with coordinates (0x2), where x2 2 0, satisfies the problem constraint...
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.) a)Maximize p = 3x + 2y subject to −4x+y≥10 x+3y≤12 x ≥ 0, y ≥ 0 p= (x,y)= b) Maximize and minimize p = x + 2y subject to x + y ≥ 6 x + y ≤ 8 x...
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.
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...
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.) Minimize c = 8x - By subject to 7 sy ys 2x x + y27 x + 2y = 16 x>0, y 2 0. c= (x,y) = ((
Find the complete optimal solution to this linear programming problem (using Excel) and enter the optimal x value. Max 5X + 6Y s.t. 3X + Y <= 15 X + 2Y <= 12 3X + 2Y <= 24 X , Y >= 0 Find the complete optimal solution to this linear programming problem using Excel and type in the optimal value of X below (X*=?). Max 2X + 3Y s.t. 4X + 9Y <= 72 10X + 11Y <= 110...
Problem 2 (25 points) For the following linear programming problem, determine the optimal solution by the graphical solution method Min 2xi + xi+x 2 xi 4 a. Graph and shade the feasible region below. b. What is the solution to this problem? Objective Value x2 x2
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) 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
0/2 POINTS PREVIOUS ANSWERS WANEFM7 5.R.005. Solve the given linear programming problem graphically. (Enter EMPTY if the region is empty. Enter UNBOUNDED If the function is unbounded.) Maximize p = 2x + y subject to 3x + y s 30 x + y s 12 x + 3y = 30 X 20, y 20. (X,Y) - Submit Answer
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?