Find the minimum value of C = 2x + 3y subject to the following constraints: (4x + 3y > 29 X + 2y 11 x20 y > 0 C = [?]

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Find the minimum value of

C = 2x + 3y subject to the following constraints:

(4x + 3y > 29
X + 2y 11
x20
y > 0
C = [?]

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16 votes

Answer C=[19]

x+2y>=11 (*4)
=> 4x+8y>=44 and 4x+3y>=29
=> 5y>=15
=> y>=3 => 3y>=9
x>=11-2y => x>=5 => 2x>=10
=> 2x+3y>= 19
C=[19]

RobinGower answered Nov 16, 2022

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