An objective function and a system of linear inequalities representing constraints are given. Complete parts a...
Ay 15 o o 12 An objective function and a system of linear Inequalities representing constraints are given Complete parts a through a Objective Function zu 4x - 2y Constraints 25x8 y22 x-12-2 6 -15 129 3 - 9 15 12 3 a. Graph the system of inequalities representing the constraints. Use the graphing tool to graph the system Click to enlarge graph Click the graph, choose a tool in the palette and follow the instructions to create your graph....
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
plied 12- Q Q 10 For the system of 3x +y<8 inequalities, graph the solution region and 3x-y> - 2 identify the corners of the x20, y20 region. Use the graphing tool to graph the system. 8 9 6 2- Click to enlarge graph -2 What are the comer points? --- (Use a comma to separate answers as needed. Type ordered pairs. Type integers or fractions.) -10-
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)...
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
Consider the domain S ⊂ R2, determined by the following system of inequalities: x + 5y ≤ 5 ,2x + y ≤ 4 ,x + y ≤ 15 ,x ≥ 0, y ≥ 0 a) Sketch the domain S b) Find the coordinates of all “corners” (vertices of the boundary) of S c) Determine the maximum value on S of the function z = f(x,y) = 3x + 5y. If you think that a maximum value does not exist, explain...
14. Find the minimum and maximum values of z = 2x + 3y (if possible) for the following set of constraints. 2x+y ≤ 20 10x+y≥36 2x+5y≥36 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is _______ B. There is no minimum value.11. Use graphical methods to solve the following linear programming problem. Maximize: 2=5x+y subject to: x-y≤11 5x+3y≤75 x≥0, y≥0 Graph the feasible region using the graphing tool to the right.4. The graph shows a region of feasible solutions. Use this...
Siven a linear problem, find the maximum value of the objective function z = 10x + 15% @xty lo x+y<12 ocx Dosy< lo