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)
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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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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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