$(35$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 $45$ 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.