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Stor. Assign. 9

# Stor. Assign. 9 - Similarly for A2 A3 B2 and B3 Max profit=...

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1. Decision variables: Let x1 be a binary variable where we provide the benefit of annual bonus (x1=1), or we don’t (x1=0). Similarly for x2, x3, x4, x5, x6, and x7. Min. cost=x1(100) + x2(60) + x3(50) + x4(45) + x5(5) + x6(3) + x7(2). Subject to: x5 <= x2 (flat screen can only be installed if cafeteria is remodeled) x1 + x3 <=1 (cannot give both annual bonus and gym membership) x6 + x7 <=1 (cannot have both Christmas and Halloween parties) x1 + x2 + x3 + x4 + x5 + x6 + x7 >=4 (must provide at least 4 benefits) x1 + x3 + x4 + x5 + x6 >=3 (at least 3 benefits must be preferred by over 20 employees) x1 + x4 >=1 (at least 1 benefit must be preferred by over 40 employees) all variables binary 2. Decision variables: Let A1 be the number of installations done by DishWorks.

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Unformatted text preview: Similarly for A2, A3, B2, and B3. Max. profit= A1(77 - 58) + A2(47 – 14.5) + A3(47 – 29) + B2(39) + B3(49) Subject to: A1 + A2 + A3 <=20 (number trucks available) A1(2) + A2(.5) + A3(1) <=120 (number hours available for trucks) B2 + B3 <=500 (number of calls per month that MM can take) B2 >= B3(2) A1(3) <=A2 + A3 all variables >=0 (non-negativity) 3. Decision variables: Let x1 be a binary variable where we open a cart a Nassau St. (x1=1, or we don’t (x1=0). Similarly for x2, x3, x4, and x5. Min. cost=x1(1500) + x2(2200) + x3(2900) + x4(1600) + x5(1200). Subject to: x2 + x3 >=1 (site A distance) x2 + x4 >=1 (site B distance) x1 + x5 >=1 (site C distance) x4 =1 (site D distance) all variables binary...
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Stor. Assign. 9 - Similarly for A2 A3 B2 and B3 Max profit=...

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