Question 1102540
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Let F = food,  S = shelter  and  E = entertainment.


Then you should find the maximum of this objective function (which is "the accumulated satisfaction value", or the "profit")


Z = 2F + 3S + 5E


under this set of restrictions

E + F + S <= 15000,

F + S <= 10000,

0 <= S <= 7000,

0 <= E <= 3000.
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I answered your question.