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( 3 5 p ) In treating a brain tumor with radiation, physicians want the maximum amount of radiation possible to send to the tumorous

(35p) In treating a brain tumor with radiation, physicians want the maximum amount of radiation possible to send to the tumorous tissue. The tissue containing a tumor has been divided into six regions: three regions containing tumor and three containing normal tissue. The amount of radiation delivered to each region by a single shot of each of the 5 types of beams is given in the table below. If each region of normal tissue can handle at most 40 units of radiation, then how many shots from each beam should be used to maximize the total amount of radiation received by the tumors? Formulate this problem (10p) and solve using PuLP in an executable Python (.py) file (25p)(Excel solutions will not be accepted!). Data should be loaded directly from the Excel file and the code should use loops as much as possible.
\table[[Beam,Normal regions,Tumorous regions],[1,12,17,9,20,10,19],[2,11,17,4,13,7,19],[3,20,12,6,18,16,15],[4,7,12,11,4,11,8],[5,4,4,13,4,12,19]]
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