Linear Prog COP4355_Part_17

# Linear Prog COP4355_Part_17 - 72 Chapter 6 Goal Programming...

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72 Chapter 6 Goal Programming 6.13 CO112 = 7.25; BW322 = 5.5; Overachievement Goal2 = 100; Underachievement Goal3 = 142.75; Underachievement Goal4 = 44.5; Z MIN = 7045. 6.14 Radio = 600.0002; TV 2 = 40; Newspaper = 1000; Overachievement Goal4 = 165000; Z MIN = 0. Multiple Optimal Solutions.

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73 Chapter 7 Integer Linear Programming 7.1 Z = 210 7.2 Z = 28 7.3 Z = 116 7.4 Z = 115.33 7.5 Let X 1 = number of QM110 students X 2 = number of QM210 students MAX Z: 6X 1 + 9X 2 (Profit, \$) Subject to: X 1 + 2X 2 < 10 (Max. hours per week) X 1 < 3 (Max. QM110 students) X 2 < 5 (Max. QM210 students) X 1 , X 2 = integer (Integer Restriction) X 1 , X 2 > 0 (Nonnegativity) 7.6 Let X 1 = Pinecrest site X 2 = Woodlands site X 3 = Arbor Oaks site X 4 = Regency site X 5 = Hillsboro site X 6 = Hillwood site MAX Z: 10000X 1 +12000X 2 +20000X 3 +24000X 4 +16000X 5 +6000X 6 (Profit, \$) Subject to: 120000X 1 + 100000X 2 + 164000X 3 + 206000X 4 + 100000X 5 + 82000X 6 < 600000 (Total Invest.) X
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Linear Prog COP4355_Part_17 - 72 Chapter 6 Goal Programming...

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