2. Minimize: C-2x+5) Subject to: 4x+y 240 2? + ? 230 x+3y 2 30 x20,y20 )...

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2. Minimize: C-2x+5) Subject to: 4x+y 240 2? + ? 230 x+3y 2 30 x20,y20 ) Type in the corner points found and their corresponding Cost b) What is the minimum cost?

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Answer 1

Answer #1

minimize

$C=2x + 5y$

subjected to

$4x+y\ge 40\:$

$\:2x+y\ge 30\:$

$+3y2 30$

plot on graph

40 (0,40) 20 (5,20) (12,6) (30,0) 20

corner points are

(30,0)......2x+5y......=60

(12,6)......2x+5y......=54.......minimum

(5,20)......2x+5y......=110

(0,40)......2x+5y......=200

at point (12,6) function is minimum

minimum cost is 54

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Answer 2

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