The graph of the feasible region is shown. g = 7x + 9y The x y coordinate plane is given. Three lines and a shaded region are on the graph. The line 3x + y = 60 enters the window on the positive y-axis above the other two lines, goes down and right, crosses the line x + y = 40, crosses the line 4x + 10y = 280, and ends on the positive x-axis. The line x + y = 40 enters the window on the positive y-axis between the other two lines, goes down and right, crosses the line 3x + y = 60, crosses the line 4x + 10y = 280, and exits the window on the positive x-axis. The line 4x + 10y = 280 enters on the positive y-axis below the other two lines, goes down and right, crosses the line 3x + y = 60, crosses the line x + y = 40, and exits the window on the positive x-axis. The shaded region is above the three lines, right of the y-axis, and above the x-axis. Find the corners of the feasible region. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = ? (x, y) = ? (x, y) = ? (x, y) = ? Find the maximum and minimum of the given objective function (if they exist). (If an answer does not exist, enter DNE.) maximum g = minimum g =
The graph of the feasible region is shown. g = 7x + 9y The x y coordinate plane is given. Three lines and a shaded region are on the graph. The line 3x + y = 60 enters the window on the positive y-axis above the other two lines, goes down and right, crosses the line x + y = 40, crosses the line 4x + 10y = 280, and ends on the positive x-axis. The line x + y = 40 enters the window on the positive y-axis between the other two lines, goes down and right, crosses the line 3x + y = 60, crosses the line 4x + 10y = 280, and exits the window on the positive x-axis. The line 4x + 10y = 280 enters on the positive y-axis below the other two lines, goes down and right, crosses the line 3x + y = 60, crosses the line x + y = 40, and exits the window on the positive x-axis. The shaded region is above the three lines, right of the y-axis, and above the x-axis. Find the corners of the feasible region. (Order your answers from smallest to largest x, then from smallest to largest y.) (x, y) = ? (x, y) = ? (x, y) = ? (x, y) = ? Find the maximum and minimum of the given objective function (if they exist). (If an answer does not exist, enter DNE.) maximum g = minimum g =
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter10: Systems Of Equations And Inequalities
Section10.FOM: Focus On Modeling: Linear Programming
Problem 16P: Feasible RegionAll parts of this problem refer to the following feasible region and objective...
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The graph of the feasible region is shown.
g = 7x + 9y
The x y coordinate plane is given. Three lines and a shaded region are on the graph.
- The line 3x + y = 60 enters the window on the positive y-axis above the other two lines, goes down and right, crosses the line x + y = 40, crosses the line 4x + 10y = 280, and ends on the positive x-axis.
- The line x + y = 40 enters the window on the positive y-axis between the other two lines, goes down and right, crosses the line 3x + y = 60, crosses the line 4x + 10y = 280, and exits the window on the positive x-axis.
- The line 4x + 10y = 280 enters on the positive y-axis below the other two lines, goes down and right, crosses the line 3x + y = 60, crosses the line x + y = 40, and exits the window on the positive x-axis.
- The shaded region is above the three lines, right of the y-axis, and above the x-axis.
Find the corners of the feasible region. (Order your answers from smallest to largest x, then from smallest to largest y.)
(x, y) = ?
(x, y) = ?
(x, y) = ?
(x, y) = ?
Find the maximum and minimum of the given objective function (if they exist). (If an answer does not exist, enter DNE.)
maximum | g | = | |
minimum | g | = |
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