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DMORMidterm02 - UF-ESI-6314 DMOR-Midterm-02 Problem...

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UF-ESI-6314 DMOR-Midterm-02.xls Problem Definition page 1 of 5 package page -1 of '* (9 /- Question 2 (20 points): Model the following problem as a linear program. Consider a cancer patient who is being treated with radiation therapy. doctor has determined that she should receive treatment in a dimensional cross-section, represented by a 6 x 6 grid (or matrix). The following matrix gives the number of units of radiation that should be received: The two- Radiation can be delivered in any row, and in any column. The amount of radiation received in a cell is the sum of the radiation delivered to its row plus radiation delivered to its column. We may never over-radiate a cell. For instance, noting that cell (1,1) has a desired radiation dosage of 9, the amount of radiation delivered in row 1 plus the amount of radiation delivered in column 1 must not be more than 9. Luther Setzer 1 NASA Pkwy EStop NEM3, Kennedy Space Center, FL 32899 (321) 544-7435 9 12 9 6 7 10 8 6 6 8 7 8 6 9 10 10 9 9 7 7 11 9 11 6 5 11 8 11 5 7 6 8 7 8 6 5
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