# sol2 - CO 350 Winter 2007 Homework 2 Solutions Problem 1...

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Problem 1: Personnel Scheduling Decision Variables: Let T i be the number of trained employees available in month i ( i = 1 ,..., 6) Let UP i be the number of untrained employees engaged in production in month i ( i = 1 ,..., 6) Let UT i be the number of untrained employees enrolled in training pro- gram in month i ( i = 1 ,..., 6) Let E i be the number of untrained employees required in month i . Note that these are not variables but are known quantities: E 1 = 100, E 2 = 100, E 3 = 115, E 4 = 125, E 5 = 140, E 6 = 150. Constraints: Assume that T 1 = 0, and start with 145 untrained workers. UT 1 + UP 1 = 145 . For each month i = 1 ,..., 6 : The required number of employees is UP i + 1 . 2 T i E i . The number of trained employees is T i = T i - 1 + 0 . 9 UT i . The number of untrained employees is UT i + UP i = 0 . 95 UP i - 1 + 0 . 1 T i - 1 . 1

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sol2 - CO 350 Winter 2007 Homework 2 Solutions Problem 1...

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