document.write( "Question 932521: I am definitely confused and can't understand, if you can please explain in detailed steps, I keep going round in circles and my steps are taking forever\r
\n" ); document.write( "\n" ); document.write( "I need to rewrite the constraints in slope intercept,
\n" ); document.write( "List all vertices of the feasible region as ordered pairs,
\n" ); document.write( "list values of the objective function for each vertex,
\n" ); document.write( "list maximum or minimum amount, including x and y value\r
\n" ); document.write( "\n" ); document.write( "3x+5y >= 35
\n" ); document.write( "2x + y <= 14
\n" ); document.write( "x >= 0, y>= 0
\n" ); document.write( "Maximum for P= 3x + 2y
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Algebra.Com's Answer #566175 by Fombitz(32388)\"\" \"About 
You can put this solution on YOUR website!
Slope intercept form is \"y=mx%2Bb\"
\n" ); document.write( "\"3x%2B5y%3E=35\"
\n" ); document.write( "\"5y%3E=-3x%2B35\"
\n" ); document.write( "\"y%3E=-%283%2F5%29x%2B7\"
\n" ); document.write( "\"graph%28300%2C300%2C-2%2C10%2C-2%2C10%2Cy%3E=-%283%2F5%29x%2B7%29\"
\n" ); document.write( ".
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\n" ); document.write( "\"2x%2By%3C=14\"
\n" ); document.write( "\"y%3C=-2x%2B14\"
\n" ); document.write( ".
\n" ); document.write( ".
\n" ); document.write( "\"graph%28300%2C300%2C-2%2C10%2C-2%2C10%2Cy%3C=-2x%2B14%29\"
\n" ); document.write( ".
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\n" ); document.write( "The easy vertices are (0,0),(0,7),(7,0).
\n" ); document.write( "To find the remaining one, set the two linear equations equal to each other.
\n" ); document.write( "\"-2x%2B14=-%283%2F5%29x%2B7\"
\n" ); document.write( "\"-2x%2B%283%2F5%29x=-7\"
\n" ); document.write( "\"-%2810%2F5%29x%2B%283%2F5%29x=-7\"
\n" ); document.write( "\"-%287%2F5%29x=-7\"
\n" ); document.write( "\"x=5\"
\n" ); document.write( "Then,
\n" ); document.write( "\"y=-2%285%29%2B14\"
\n" ); document.write( "\"y=4\"
\n" ); document.write( "(5,4) is the final vertex.
\n" ); document.write( "Now check the function at each point.
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\n" ); document.write( ".
\n" ); document.write( "(0,0):\"P=3%280%29%2B2%280%29=0\"<-- Min
\n" ); document.write( "(7,0):\"P=3%287%29%2B2%280%29=21\"
\n" ); document.write( "(0,7):\"P=3%280%29%2B2%287%29=14\"
\n" ); document.write( "(5,4):\"P=3%285%29%2B2%284%29=23\"<-- Max
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