A function and the graph of a feasible region are given. f = -x + 5y 12 8 y (5,10), 4 8 (10,6) 12 x Find both the maximum and minimum values of the function, if they exist, and the point at which each occurs. (If an answer doe not exist, enter DNE.) The maximum value of the objective function is The minimum value of the objective function is which occurs at (x, y) = which occurs at (x, y) =

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 1SC: Find the maximum value of P=4x+3y subject to the constraints of Example 1. {x+y42x+y6x0y0
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A function and the graph of a feasible region are given.
f = -x + 5y
12
8
y
(5, 10)
4
8
(10,6)
12
Find both the maximum and minimum values of the function, if they exist, and the point at which each occurs. (If an answer does
not exist, enter DNE.)
The maximum value of the objective function is
The minimum value of the objective function is
which occurs at (x, y) =
which occurs at (x, y) =
Transcribed Image Text:A function and the graph of a feasible region are given. f = -x + 5y 12 8 y (5, 10) 4 8 (10,6) 12 Find both the maximum and minimum values of the function, if they exist, and the point at which each occurs. (If an answer does not exist, enter DNE.) The maximum value of the objective function is The minimum value of the objective function is which occurs at (x, y) = which occurs at (x, y) =
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