Find the minimum value of the objective function z = 6x + 4y, subject to the following constraints. (See Example 3.) 6x + y ≥ 52 4x + 2y ≥ 40 2x + 8y ≥ 48 x ≥ 0, y ≥ 0
Find the minimum value of the objective function z = 6x + 4y, subject to the following constraints. (See Example 3.) 6x + y ≥ 52 4x + 2y ≥ 40 2x + 8y ≥ 48 x ≥ 0, y ≥ 0
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
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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Find the minimum value of the objective function
z = 6x + 4y,
subject to the following constraints. (See Example 3.)
6x | + | y | ≥ | 52 |
4x | + | 2y | ≥ | 40 |
2x | + | 8y | ≥ | 48 |
x | ≥ | 0, y | ≥ | 0 |
The minimum value is z = at
(x, y) =
.
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