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Question 1102540: You are trying to create a budget to optimize the use of a portion of your disposable income. you have a maximum of 15,000 per month to be allocated to food, shelter and entertainment. the amount spent on food and shelter combined must not exceed $10,000. Thee amount spent on shelter alone must not exceed $7,000. Entertainment cannot exceed $3,000 per month. Each dollar spent on food has a satisfaction value of $2, each dollar spent on shelter has a satisfaction value of 3, and each dollar spent on entertainment a satisfaction value of 5. Assuming a linear relationship, set up the equation that can be solved to maximize the profit.
Answer by ikleyn(52889)   (Show Source):
You can put this solution on YOUR website! .
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.
I answered your question.
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