document.write( "Question 924161: I am having a problem with a setting up a linear programming word problem. Once I have the set up I am able to graph it fine. Please give assistance with the set up.
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document.write( "A trip requires bus and van rentals. Each bus has 40 seats and 1 handicapped seat. Vans have 8 seats and 3 handicapped seats. Rental costs is $350 for each van and $975 for each bus. If 320 seats and 36 handicapped seats are required, how many vehicles of each type should be rented to minimize cost?
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document.write( "Thank you for your help.
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document.write( "David \n" );
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Algebra.Com's Answer #560694 by Theo(13342)![]() ![]() You can put this solution on YOUR website! bus has 40 seats and one handicapp[ed seat. \n" ); document.write( "each van 8 seats and 3 handicapped seats. \n" ); document.write( "rental cost is $350 for the van and $975 for the bus. \n" ); document.write( "need 320 regular seats and 36 yhandicapped seats \n" ); document.write( "need to minimize cost.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = number of buses \n" ); document.write( "y = number of vans\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "objective function is 975*x + 350*y\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you need a minimum of 320 regular seats. \n" ); document.write( "bus has 40 regular seats and van has 8 regular seats.\r \n" ); document.write( "\n" ); document.write( "equation for regular seats is 40x + 8y >= 320\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you need a minimum of 36 handicapped seats. \n" ); document.write( "bus has 1 handicapped seat and van has 3 handicapped seats.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "equation for handicapped seats is 1x + 3y >= 36\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x and y both have to be greater than or equal to 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your objective function is 975x + 350y which you want to minimize\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your constraints are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x,y >= 0 \n" ); document.write( "40x + 8y >= 320 \n" ); document.write( "1x + 3y >= 36\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |