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Unformatted text preview: week) X3 ≤ 25 (max 30-sec. radio / week) X4 ≤ 20 (max 1-min. radio / week) 800 X1 + 925 X2 + 290 X3 + 380 X4 ≤ 8000
X3+ X4 ≥ 5
290 X3 + 380 X4 ≤ 1800
X1 , X2 , X3 , X4 ≥ 0 (weekly advertising budget)
(min radio spots / week)
(max radio expense)
6 Optimal Solution
On solving the problem by Excel Solver (or other
LP package), the optimal media selection is:
X1 = 1.97 TV spots; X2 = 5.00 newspaper ads; X3 = 6.21 30-second prime time radio spots; X4 = 0.00 1-minute afternoon radio spots. This produces an audience exposure of 67,240 contacts.
7 Manufacturing Applications
• A nationally known menswear manufacturer
produces four varieties of neckties:
– all-silk tie.
– all-polyester tie.
– two different polyester and cotton blends
(Blend 1: 50% polyester and 50% cotton;
Blend 2: 30% polyester and 70% cotton)
8 Manufacturing Applications
Has fixed contracts with major department stores with the
following contract demand for products: All silk
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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.
- Spring '12