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Let r, s be constants such that 0<4r < s <20. Assume an objective function Z=...

Let r, s

be constants such that 0<4r < s <20. Assume an objective function Z= rx+sy subject to the four inequalities x+ 4y ≥12; x−2y≤0; 2y−x≤6;x≤6 has a maximum value of 72 and a minimum value of 28. find s and r

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Homework Answers

Answer #1

Solving equation :

Gives four optimal point,

To maximize and minimize: Z = rx + sy

where, 0 < r < 5 ; 1 < s < 20

P4 must give highest value (from diagram, P4 has highest value of x and y),

P2 must give minimum value (from diagram)

Solving above two equation

we get :

Answer:

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