Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty...
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 = x + y subject to x + 5y ≥ 6 5x + y ≥ 6 x ≥ 0, y ≥ 0. c = x = y =
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...
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...
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...
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...
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
(10 points) Linear Programing (SLOI): 4. iven constraints. 2x+Sy subject to the g Graph the Feasible Region, and minimize the quantity z x +2y 21 r +2y s10 2 2x 2 r 20 (10 points) Linear Programing (SLOI): 4. iven constraints. 2x+Sy subject to the g Graph the Feasible Region, and minimize the quantity z x +2y 21 r +2y s10 2 2x 2 r 20
Solve the following LP problem by any method (indicate the method you're using (starred row, dual, etc), whether you're doing a minimization or maximization, and what the final result is with respect to the values of s,t, and the objective function for the original problem; also show that your answer is feasible): Minimize c = 2s + t subject to: 3s + t >= 30 s + t >= 20 s + 3t >= 30 s,t >= 0
Consider the following constraints and the c g graph below: Constraint L:4x-y21 Constraint 2: x+ys4 Constraint 3:-x-4y 2-8 x, y20 4x-y=1 x-4y -8 a. (2 points) Shade the feasible region in the graph provided above. b. (1 point) For this part only the objective function is Minimize -2x + y. Which of the following describes the optimal solution? (Put a check next to your answer) Infeasible solution Unique optimal solution the point (4,0) minimizes the LP Alternate optimal solution Unbounded...
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