The graph of the feasible region is shown.g = 3x + 6yThe 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 =

Answered: right, crosses the line 3x + y = 60,…

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 = 3x + 6y

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.