Use the given feasible region determined by the constraint inequalities to find the maximum and minimum of the given objective function (if they exist). (If an answer does not exist, enter DNE.) C = 3x + 5y The x y coordinate plane is given. Four points, three line segments, and a shaded region are on the graph. The shaded region is bounded by the x-axis, the y-axis, and the three line segments. The three line segments connect the following four points in the given order. (0, 3)  (4, 4)  (6, 2)  (7, 0) maximum     C  =    minimum     C  =

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Systems Of Equations And Inequalities
Section6.6: Linear Programming
Problem 50E
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Use the given feasible region determined by the constraint inequalities to find the maximum and minimum of the given objective function (if they exist). (If an answer does not exist, enter DNE.)

C = 3x + 5y
The x y coordinate plane is given. Four points, three line segments, and a shaded region are on the graph. The shaded region is bounded by the x-axis, the y-axis, and the three line segments. The three line segments connect the following four points in the given order.
  • (0, 3) 
  • (4, 4) 
  • (6, 2) 
  • (7, 0)
maximum     C  =   
minimum     C  =   
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