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Unformatted text preview: AS/2901/1/SC/lp/1011 THE UNIVERSITY OF HONG KONG DEPARTMENT OF MATHEMATICS MATH2901 Operations Research I Assignment 1 * Q1Q4 require handing in as assignment * * Q5Q6 will be discussed during R1 class * Due date: 29 September, 2010 (by noon) 1. A 10acre slum in New York City is to be cleared. The oﬃcials of the city must decide on the redevelopment plan. Two housing plans are to be considered: lowincome housing and middleincome housing. The types of housing can be developed at 20 and 15 units per acre, respectively. The unit costs of the low and middleincome housing are $17,000 and $25,000. The lower and upper limits set by the oﬃcials on the number of lowincome housing units are 80 and 120. Similarly, the number of middleincome housing units lie between 45 and 90. The combined maximum housing market potential is estimated to be 190 (which is less than the sum of the individual market limits due to the overlap between the two markets). The total mortgage committed to the renewal plan is not to exceed $2.5 million. Finally, it was suggested by the architectural adviser that the number of lowincome housing units be at least 50 units greater than onehalf the number of the middlehousing units. (a) Formulate the minimum cost renewal planning problem as a linear program....
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 Fall '11
 SydneyChu
 Math, Istanbul, linear program, Bombay

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