document.write( "Question 1088225: help needed: Use graphical methods to solve the linear programming problem.
\n" ); document.write( "Minimize zequals=4xplus+5y subject to 2xminus−4yless than or equals≤10, 2xplus+ygreater than or equals≥15, xgreater than or equals≥0, and ygreater than or equals≥0. \n" ); document.write( "

Algebra.Com's Answer #702478 by Fombitz(32388) $\"\"$ $\"About$

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Cost function:C=4x+5y
\n" ); document.write( "Constraints:
\n" ); document.write( "2x-4y<=10
\n" ); document.write( "2x+y>=15
\n" ); document.write( "x>=0
\n" ); document.write( "y>=0
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\n" ); document.write( "Two vertices:(0,15) and (7,1)
\n" ); document.write( "CHeck the value of the cost function and see which vertex minimizes the cost function.
\n" ); document.write( "I'll do one, you do the other,
\n" ); document.write( " $\"C%280%2C15%29=4%280%29%2B5%2815%29=0%2B75=75\"$ \r
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