Consider the following constraints and the corresponding graph below Constraint 1: 2x-y21 Constraint 2:x+2y S8 Constraint...
Consider the following constraints and the corresponding graph below: Constraint 1 Constraint 2:x+2ys8 Constraint 3 x-3y 2-2 2x-v21 2r-y-1 4 4 6 b. (3 points) The objective function is Minimize 2x-3y. Mark the optimal solution(s) n the above graph. Do not calculate the x and y coordinates at optimal solution(s). Draw the optimal objective function line through the optimal solution(s)
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...
Minimize the objective function 1/2x+3/4y subject to the constraints (In graph form please) 2x+2y>=8 3x+5y>=16 x>=0, y>=0
(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
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.
Quiz: Quiz 2 This Question: 1 pt Minimize the objective function 3x+3y subject to the constraints 2xty 2 13 x+2y 2 14 x20, y20 The minimum value of the function is Simplify your answer.) The value of x is Simplify your answer.) The value of y is Simplify your answer.) Quiz: Quiz 2 This Question: 1 pt Minimize the objective function 3x+3y subject to the constraints 2xty 2 13 x+2y 2 14 x20, y20 The minimum value of the function...
Consider the following linear program: Maximize-2ri+ 2 subject to: 12x1 + 3x2 6, #7 10, i 20 x2 20. a) Draw a graph of the constraints and shade in the feasible region. Label the vertices of this region with their coordinates. b) Using the graph obtained in (a). find the optimal solution and the maximum value of the objective function. c) What is the slack in each of the constraints?
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...
Consider the function fix.) - xy - 3x - 2y + 17x+y+37 and the constraint x. - - 6x + 3y - 12. Find the optimal point of f(x,y) subject to the constraint oxy). Enter the values of, . fl.), and below. NOTE: Enter correct to 2 decimal places X=8.50 a у f(xy) - 6.50,3 A 3.83
The graphs show the constraint and several level curves of the objective function. Use the graph to approximate the indicated extrema. (a) Maximize z = xy; Constraint: 2x + y = 4 .C =2 c 4 = 6 (b) Minimize z =x2 + y2; Constraint: x + y - 4 = 0 Need Help? Talk to a Tutor The graphs show the constraint and several level curves of the objective function. Use the graph to approximate the indicated extrema. (a)...