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MidTerm1_Soln

# MidTerm1_Soln - Solution for Midterm 1 1 max z = x1 3x2...

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Solution for Midterm 1 1. (P) 12 1 max 3 . . 2 0 [1] 2 1 [2] [3] 0 [4] zx x st x x xx x =− + −≥ +≥ −+ 2 2 [5] x (b) (5 points) Write down an objective vector for which there are multiple optimal solutions: (c1; c2) = ( 0 ; 1 ) (c) (5 points) Write down an objective vector for which the problem is unbounded: (c1; c2) = ( 1 ; 0 )

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Solution for Midterm 1 2. Variables: N i x = pounds of Nitrogen in fertilizer i S i x = pounds of Silicon in fertilizer i ( ) ( ) ( ) ( ) 11 2 2 1 2 1 2 max 70 40 -15 -10 N SN S N N S S zx x x x x x x x =+ + + + + 22 12 . . 0.6 0.4 0.3 0.7 80 100 all variables 0 NS NN SS s tx x xx +≤
Solution for Midterm 1 3. Shift 1 = Midnight - 6 AM Shift 2 = 6 AM - Noon Shift 3 = Noon - 6 PM
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MidTerm1_Soln - Solution for Midterm 1 1 max z = x1 3x2...

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