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Maximize the Object Function z=10x+8yz = 10 x + 8 y

Question 84

Multiple Choice

Maximize the object function z=10x+8yz = 10 x + 8 y subject to the constraints x+5y25,x+y9,4x+2y32,x0, and y0x + 5 y \leq 25 , x + y \leq 9,4 x + 2 y \leq 32 , x \geq 0 \text {, and } y \geq 0 .


A) The maximum value is 90 at (5,4) ( 5,4 ) .
B) The maximum value is 122 at (5,9) ( 5,9 ) .
C) The maximum value is 130 at (9,5) ( 9,5 ) .
D) The maximum value is 86 at (7,2) ( 7,2 ) .
E) The maximum value is 56 at (4,2) ( 4,2 ) .

Correct Answer:

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