Consider the following linear programming problem:
Minimize 20X + 30Y
Subject to: 2X + 4Y ≤ 800
6X + 3Y ≥ 300
X, Y ≥ 0
What is the optimum solution to this problem (X,Y)?
A) (0,0)
B) (50,0)
C) (0,100)
D) (400,0)
Consider the following linear programming problem: Minimize 20X + 30Y Subject to: 2X + 4Y ≤ 800 &nbs
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?
II. UU. Solve the linear programming problem by the method of corners. Minimize C = 2x + 3y subject to 4x + y 2 38 2x + y 2 30 x + 3y = 30 * 20, y = 0 The minimum is C = s at (x, y) = Need Help? Watch It Talk to a Tutor
Solve the following linear programming problem. Maximize: z= 3x + 4y subject to: 2x + 5y = 10 6x + y s 10 X20, y20 The maximum value is The maximum occurs at the point (Type an ordered pair. If the maximum occurs at more than one point, type either answer. Type an integer or a fraction.)
Based on this linear programming problem below, and answer the following questions: Minimize subject to Z=500 y, + 200 y, 3y, + y 24 -y, +2y, 210 y; - y, 215 -y, +4y, 225 y, 20, y, 20 and 1) Find the dual to the linear programming problem. 2) Using the simplex method to solve the dual problem. 3) The simplex method in part 2) should require 3 pivots (4 tableaus including the initial one). For each tableau, write 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
Solve the following linear programming models graphically and explain the solution results based on the different solution types we discussed in class. a) Formulation 1 Subiect to: AX 12 X,Y 20 b) Formulation 2 Max Z = X + 4Y Subject to: 2X +3Y 3 24 Y 2 1 X,Y 2 0 c) Formulation 3 Subject to: X 2 4 6X 6Y 2 42 Y 2 2 Solve the following linear programming models graphically and explain the solution results based...
(9 pts) 3. Solve the linear programming problem graphically. Minimize c = 2x - 5y, subject to (x + y 510 3x - y 26. x20,20 (3x + y 55 (9 pts) 4. Use the simplex method to maximize p= 2x+y, subject to <x+2y52. x 20, y20
-/2 POINTS MY NOTES ASK YOUR TEACHER Solve the following linear programming problem. Restrict x 20 and y 2 0. Maximize f = 3x + 4y subject to x + y s 9 2x + y s 14 y s6. (x, y) = ( ) -/2 POINTS MY NOTES ASK YOUR TEACHER Solve the following linear programming problem. Restrict x 2 0 and y 2 0. Minimize g = 6x + 8y subject to the following. 5x + 2y >...
Your problem is to find the optimal solution to the following linear programming model where X, Y and Z represent the amounts of products X, Y and Z to produce in order to minimize some cost. Min 4X + 2Y + 6Z s.t. 6X + 7Y + 10Z ≤ 80 (1) 2X + 4Y + 3Z ≤ 35 (2) 4X + 3Y + 4Z ≥ 30 (3) 3X + 2Y + 6Z ≥ 40 (4) X,Y,Z ≥...
(9 pts) 3. Solve the linear programming problem graphically. Minimize c=2x-5y, subject to (x + y 510 3x - y26. x 20, y 20