document.write( "Question 1143452: A cat breeder has the following amounts of cat food: 120 units of tuna, 110 units of liver, and 70 units of chicken.
\n" ); document.write( "To raise a Siamese cat, the breeder must use 2 units of tuna, 2 of liver and 3 of chicken, while raising a Persian cat requires
\n" ); document.write( "3, 2, and 1 units respectively per day.
\n" ); document.write( "If a Siamese cat sells for $14 and a Persian cat sells for $16, how many of each
\n" ); document.write( "should be raised in order to obtain maximum gross income?
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Algebra.Com's Answer #765745 by Edwin McCravy(20056) $\"\"$ $\"About$

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A cat breeder has the following amounts of cat food: 120 units of tuna, 110 units of liver, and 70 units of chicken.
\n" ); document.write( "To raise a Siamese cat, the breeder must use 2 units of tuna, 2 of liver and 3 of chicken, while raising a Persian cat requires
\n" ); document.write( "3, 2, and 1 units respectively per day.
\n" ); document.write( "If a Siamese cat sells for $14 and a Persian cat sells for $16, how many of each
\n" ); document.write( "should be raised in order to obtain maximum gross income?
\n" ); document.write( "Set up the system of equations and initial simplex tableau.
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document.write( "Let x = no. of Siamese cats to be raised\r\n" );
document.write( "Let y = no. of Persian cats to be raised\r\n" );
document.write( "We make the tuna inequality to make sure we don't run out of tuna,\r\n" );
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document.write( "We make the liver inequality to make sure we don't run out of liver.\r\n" );
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document.write( "We make the chicken inequality to make sure we don't run out of chicken.\r\n" );
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document.write( "We make the objective equation for the income that we want to maximize.\r\n" );
document.write( "P = 14x + 16y\r\n" );
document.write( "So We add NOB-NEGATIVE slack variables to take up the slack and turn the 3\r\n" );
document.write( "inequalities into equations:\r\n" );
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document.write( "Then we rearrange the objective equation so that the variable terms are\r\n" );
document.write( "negative and we have 0 on the right:\r\n" );
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document.write( "So we have this system of equations:\r\n" );
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document.write( "We make the augmented matrix for the system:\r\n" );
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document.write( "I'm going to stop here.  If you need help finishing,\r\n" );
document.write( "tell me so in the form below, and I'll get back to\r\n" );
document.write( "you by email. No charge.  I'm an 82-year-old retired\r\n" );
document.write( "math professor, and I just do this for fun. lol\r\n" );
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document.write( "Edwin

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