X2 number of 31 50 years old and live in a border

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Unformatted text preview: 80 $5.50 State not bordering Mexico $6.90 $7.25 $6.10 36 Goal: Meet Sampling Requirements With Minimum Cost Objective: Minimize total interview costs = $7.50 X1 + $6.80 X2 + $5.50 X3 + $6.90 X4 + $7.25 X5 + $6.10 X6 • Decision variables X1 = number of 30 years old, or younger, and live in a border state. X2 = number of 31-50 years old and live in a border state. X3 = number of 51 years old, or older, and live in a border state. X4 = number of 30 years old, or younger, and do not live in a border state. X5 = number of 31-50 years old and do not live in a border state. X = number of 51 years old, or older, and do not live in a border 37 LP Formulation Objective: Minimize total interview costs = $7.50 X1 + $6.80 X2 + $5.50 X3 + $6.90 X4 + $7.25 X5 + $6.10 X6 subject to: X1 + X2 + X3 + X4 + X5 + X6 ≥ 2300 (total households) X1 + (households 30 or younger) X4 X2 + X5 ≥ 1000 ≥ 600 (households 31-50 in age) X1 + X2 + X3 ≥ 0.15(X1 + X2 + X3 + X4 + X5 + X6 ) (border states) X3 ≤ 0.2(X3 + X6) (limit on age...
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This note was uploaded on 11/04/2012 for the course IS CB2505 taught by Professor Tommylau during the Spring '12 term at City University of Hong Kong.

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