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# sol1 - AMS 540 MBA 540(Fall 2010 Estie Arkin Homework Set 1...

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Unformatted text preview: AMS 540 / MBA 540 (Fall, 2010) Estie Arkin Homework Set # 1: Solution notes 1). B 3 ,B 5 the number of 3 and 5 speed bicycle made, Fr the number of frames bought, Fi,As the additional hours of finishing and assembly obtained. max z = 12 B 3 + 15 B 5- 4 Fr- 6 Fi- 4 . 5 As s . t . B 3 + B 5 ≤ 100 + Fr 1 / 3 B 3 + 1 / 2 B 5 ≤ 40 + Fi 1 / 4 B 3 + 2 / 3 B 5 ≤ 50 + As Fr ≤ 100 Fi ≤ 16 As ≤ 14 B 3 ,B 5 ,Fr,Fi,As ≥ 2). Let w i be the amount of money invested in the one-year investment at the beginning of year i , x i the the amount of money invested in the three-year investment at the beginning of year i , and y i the amount of money invested in the five-year investment at the beginning of year i , max z = 1 . 051 w 6 + 1 . 162 x 4 + 1 . 285 y 2 w 1 + x 1 + y 1 = 10 , 000 w 2 + x 2 + y 2 = 1 . 051 w 1 w 3 + x 3 = 1 . 051 w 2 w 4 + x 4 = 1 . 051 w 3 + 1 . 162 x 1 w 5 = 1 . 051 w 4 + 1 . 162 x 2 w 6 = 1 . 051 w 5 + 1 . 162 x 3 + 1 . 285 y 1 x i ,y i ,w i ≥ i = 1 ,..., 6 3). Define the variables3)....
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sol1 - AMS 540 MBA 540(Fall 2010 Estie Arkin Homework Set 1...

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