he graph of the feasible region is shown. f = 6x + 3y The x y coordinate plane is given. Three lines and a shaded region are on the graph. The line 2x + y = 40 enters the window in the first quadrant, goes down and right, crosses the line x + 5y = 100, crosses the line 8x + 5y = 170, and ends on the positive x-axis. The line 8x + 5y = 170 enters the window on the positive y-axis, goes down and right, crosses the line x + 5y = 100, crosses the line 2x + y = 40, and exits the window in the first quadrant. The line x + 5y = 100 enters on the positive y-axis, goes down and right, crosses the line 8x + 5y = 170, crosses the line 2x + y = 40, and exits the window in the first quadrant. The shaded region is below the three lines, above the x-axis, and right of the y-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) = (x, y) = Find the maximum and minimum of the given objective function (if they exist). (If an answer does not exist, enter DNE.) maximum f = minimum f =

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter12: Algebra Of Matrices

Section12.CR: Review Problem Set

Problem 37CR

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Question

The graph of the feasible region is shown.

f = 6x + 3y

The x y coordinate plane is given. Three lines and a shaded region are on the graph.

The line 2x + y = 40 enters the window in the first quadrant, goes down and right, crosses the line x + 5y = 100, crosses the line 8x + 5y = 170, and ends on the positive x-axis.
The line 8x + 5y = 170 enters the window on the positive y-axis, goes down and right, crosses the line x + 5y = 100, crosses the line 2x + y = 40, and exits the window in the first quadrant.
The line x + 5y = 100 enters on the positive y-axis, goes down and right, crosses the line 8x + 5y = 170, crosses the line 2x + y = 40, and exits the window in the first quadrant.
The shaded region is below the three lines, above the x-axis, and right of the y-axis.