document.write( "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. \n" ); document.write( "

Algebra.Com's Answer #717258 by ikleyn(52910) $\"\"$ $\"About$

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document.write( "Let F = food,  S = shelter  and  E = entertainment.\r\n" );
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document.write( "Then you should find the maximum of this objective function (which is \"the accumulated satisfaction value\", or the \"profit\")\r\n" );
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document.write( "Z = 2F + 3S + 5E\r\n" );
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document.write( "under this set of restrictions\r\n" );
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document.write( "E + F + S <= 15000,\r\n" );
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document.write( "F + S <= 10000,\r\n" );
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document.write( "0 <= S <= 7000,\r\n" );
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document.write( "0 <= E <= 3000.\r\n" );
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\n" ); document.write( "\n" ); document.write( "I answered your question.\r
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