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Unformatted text preview: CO 227 - Homework assignment 1 Fall ‘10 Page 1 CO 227 - Fall ‘10 Homework assignment #1: (Due at the beginning of the class, 10:30AM, on Monday, Oct 4th) Instructions: • Please show all your work and justify your answers. Answers without proper justification will not be considered. • Please list who you collaborated with. • Clearly define what are your decision variables and write down your final model. • Total value = 100 points Question 1- Shark feeding problem (20 points) The shark tank at Captain Nemo’s aquarium contains a number NS of sharks. Every day, each shark requires at least enough, but not too much, of each of NN nutrients. Let l ij denote the daily minimum requirement of nutrient i (in pounds) for shark j , and let u ij denote the maximum amount of nutrient i (in pounds) that shark j can ingest per day (for all i = 1 , . . . , NN , j = 1 , . . ., NS ). The sharks are fed a total number of NF different foods. Let n ik denote the amount of nutrient i (in pounds) in each pound of food k given to the sharks, and let c k be the per-pound cost of food k (for all i = 1 , . . ., NN , k = 1 , . . ., NF ). All sharks are hand-fed, so that each shark will get exactly the food that it is supposed to. Moreover, there is a huge supply of food, so we can assume there is no limit on the maximum amount of food that can be used to feed the sharks....
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- Spring '10
- Shark, special chocolate