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Asked Oct 20, 2019
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Find the maximum value of 5x1 5x2 +7x3 +X4 Subject to the condition that xx
X
100
4
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Find the maximum value of 5x1 5x2 +7x3 +X4 Subject to the condition that xx X 100 4

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Step 1

Step 2

Obtain the maximum value as,

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f (x,x2.x3,x4)= x2 +x, +x, and (xx2,X,X) xxx-100 F(x,x2X3,x)= f + =xxX3 +x + 2(x,° + x2 + x' +x-100) 4

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Step 3

...
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2x1 F 0 12x,2 = 0~ 1 2x2 F 012x,A= 0 = х, 2x3 F 01x3=0-- 1 2х, F 012=0 => - X4 =x2 =x3=x4 = k

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