Ay 15 o o 12 An objective function and a system of linear Inequalities representing constraints...
An objective function and a system of linear inequalities representing constraints are given. Complete parts a through c. Objective Function z = 4x-3y Constraints 25x56 y22 x-y2-4 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system. Click to enlarge graph b. Find the value of the objective function at each corner of the graphed region. (Use a comma to separate answers as needed.) c. Use the values in part (b) to determine...
3. Consider the linear programming problem with objective function Q = 4x – 3y and constraints: 9x + 4y > 180, 3x + 8y > 120, 0 < x < 35, y > 0. Graph all constraints and show the feasible region and all corner points. Can the objective function be maximized? If so, find the maximum value of Q.
Given the system of linear inequalities below. You are completing a maximization problem where you have 2 machines, Machine 1 and Machine 2, which we will identify as M1 and M2. These machines produce 2 products, Product 1 and Product 2, which we identify as P1 and P2. Our objective function is M = 20x + 50y. 3x + y =21 4x +y 27 x 20 (y20 Suppose you are told that the maximum occurs at a vertex (corner point)...
Graph the solution set of the system of inequalities 5x + 2y s 10 X-5y 15 Use the graphing tool on the right to graph the system of inequalities Click to enlarge graph
Find the Maximum Value of an Objective Function Given Constraints by Graphing Question Solve the following maximization problem graphically. P(x, y 5x 2y subject to r 2 2 Select the correct answer below: O 30 48 O 22 O 28
Maximize the objective function 3x + 5y subject to the constraints. x + 2y = 32 3x + 2y = 36 X58 X20, y20 The maximum value of the function is The value of x is The value of y is
20. Graph the system of linear inequalities shown below: S4x – y 22 (x + 2y = 2
QUESTION 15 3 p The objective of a linear programming problem is to maximize 1.50X + 1.50Y, subject to 3X + 2Y = 600, 2X +4YS 600, and X,Y 2 0. What is the optimal (best) value of the objective function, subject to the constraints and rounded to the nearest whole number? 225 300 338 425 500
Find the indicated maximum or minimum value of the objective function in the linear programming problem. Maximize f - 30x + 40y subject to the following constraints. x + 2y = 48 x + y s 30 2x + y 50 x 20, y 20 Need Help? Read It Vatch It Talk to a Tutor -/12.5 POINTS HARMATHAP9 4.2.015.MI. EE Solve the following linear programming problem. Restrict x 20 and y 20. Maximize = 3x + 5y sub/ect to the...
Find the maximum and minimum of the objective function: F =3x+2y subject to constraints: x > 0 y > 0 x + 2y < 4 x - y<1 Maximum value = 8, at point (0,4) Minimum value =0, at point (0, 0) Maximum value = 8, at point (8/3, 0) Minimum value =0, at point (1, -3/2) Maximum value = 8, at point (2, 1) Minimum value =0, at point (-2/3, 1) Maximum value = 8, at point (2, 1)...