$(35$p$)$ 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 $(10$p$)$ and solve using PuLP in an executable Python $(.$py$)$ file $(25$p$)($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.

$\backslash$table$[[$Beam$,$Normal regions,Tumorous regions$],[1,12,17,9,20,10,19],[2,11,17,4,13,7,19],[3,20,12,6,18,16,15],[4,7,12,11,4,11,8],[5,4,4,13,4,12,19]]$