HW1_F09_key

HW1_F09_key - BUSI 410 Homework#1 Solutions 1 Let xij...

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_________________________________________________________________________________ BUSI 410 – Homework #1 Solutions 1. Let x ij denote the space (in ft 2 ) rented in month i for j months, i = 1, 2, 3, j = 1, 2, 3. Then, a suitable (linear) decision model is the following. min 0.28 x 11 + 0.45 x 12 + 0.6 x 13 + 0.28 x 21 + 0.45 x 22 + 0.6 x 23 + 0.28 x 31 + 0.45 x 32 + 0.6 x 33 x 11 + x 12 + x 13 15,000 x 12 + x 13 + x 21 + x 22 + x 23 13,000 x 13 + x 22 + x 23 + x 31 + x 32 + x 33 10,000 x ij ≥ 0, i = 1,2,3, j = 1,2,3 2. Let x i denote the number of ads in media i , i = tv, n, r. Then, a suitable (linear) decision model is the following. min 15,000 x tv + 4,000 x n + 6,000 x r x r 2 x n 25,000 x tv + 10,000 x n + 15,000 x r 100,000 15,000 x tv + 3,000 x n + 12,000 x r ≥ 2(10,000 x tv + 7,000 x n + 3,000 x r ) 15,000 x tv + 4,000 x n + 9,000 x r 0.3(25,000 x tv + 10,000 x n + 15,000 x r ) x n ≤ 4 x tv , x n , x r ≥ 0 The decision model above can be rewritten as follows. min 15,000 x tv + 4,000 x n + 6,000 x r -2 x n + x r 0 25,000 x tv + 10,000 x n + 15,000 x r ≥ 100,000 -5,000 x tv - 11,000 x n + 6,000 x r 0 7,500 x tv + 1,000 x n + 4,500 x r ≥ 0 x n ≤ 4 x tv , x n , x r ≥ 0 3. Let x i denote the amount of money invested in option i , i = MB, CD, TB, GS. Then, a suitable (linear) decision model is the following.

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HW1_F09_key - BUSI 410 Homework#1 Solutions 1 Let xij...

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