8x 02x 0 39 optimal solution to marketing research

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Unformatted text preview: group 51 + in border state) X1 , X2 , X3 , X4 , X5 , X6 ≥ 0 38 Rewriting Last Two Constraints X1 + X2 + X3 ≥ 0.15(X1 + X2 + X3 + X4 + X5 + X6) Rewrite as: X1 + X2 + X3 − 0.15(X1 + X2 + X3 + X4 + X5 + X6) ≥ 0 Simplified to: 0.85X1 + 0.85X2 + 0.85X3 − 0.15X4 − 0.15X5 − 0.15X6 ≥ 0 and X3 ≤ 0.2(X3 + X6) Rewrite as: 0.8X − 0.2X < 0 39 Optimal Solution to Marketing Research Problem The least cost is $15,166 by surveying the following households with heads of age: 31-50 years living in a border state of Mexico = ≥ 51 years living in a border state of Mexico = 600 140 ≤ 30 years NOT living in a border state of Mexico = 1,000 ≥ 51 years NOT living in a border state of Mexico = 560 40 Appendix B: Ingredient Blending Applications Ingredient Mix and Blending Problems Blending problems arise when decision must be made to blend two or more products to produce one or more output products. Resources contain one or more essential ingredients that must be blended so that each output product contains specific pe...
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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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