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Homework 3 Solutions

# Homework 3 Solutions - IEOR 151 Homework 3 Solutions 1...

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Unformatted text preview: IEOR 151 Homework 3 Solutions 1. median 28 y 6 5 4 3 2 1 0 22 2 1 36 2 3 18 4 52. A(28) B(22) C(36) D(18) x 5 6 7 8 x‐axis: Left to right: {A}, 28<52; {A,B}, 28+22=50<52; {A,B,C}, 50+36=86>52. Right to left: {C,D}, 36+18=54>52. x 8. y‐axis: Upwards: {D}, 18<52; {C,D}, 18+36=54>52. Downwards: {B}, 22<52; {A,B}, 22+28=50<52; {A,B,C}, 50+36=86>52. y 3 . The optimal location is (8,3). y 2. 2 (2) 11 7 1 (3) 4 3 (2) 2 0 4 7 4 (4) 5 (1) x 11 14 median 3 2 2 2 4 1 6. x‐axis: Left to right: {1,2}, 3+2=5<6; {1,2,3}, 5+2=7>6. Right to left: {5}, 1<6; {4,5}, 1+4=5<6; {3,4,5}, 5+2=7>6. x 7. y‐axis: Upwards: {3}, 2<6; {1,3}, 2+3=5<6; {1,3,5}, 5+1=6=6. Downwards: {2,4}, 2+4=6=6. 7 y 11. The optimal location can be any point in the segment between (7,7) and (7,11). ...
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