document.write( "Question 495560: a tourist agency can sell up to 1200 packages for a football game. the package includes airfare, weekend accomodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with a nonstop flight sells for $1200, and each package with a two-stop flight sells for $900. assume that each plane will carry the maximum number of passengers.
\n" ); document.write( "A. write a system of linear equalities to represent the constraints.
\n" ); document.write( "B. Write an objective function that maximizes the revenue for the tourist agency, and find the maximumrevenue for the given constraints. \n" ); document.write( "
Algebra.Com's Answer #336403 by ankor@dixie-net.com(22740)\"\" \"About 
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a tourist agency can sell up to 1200 packages for a football game. the package includes airfare, weekend accomodations, and the choice of two types of flights: a nonstop flight or a two-stop flight. The nonstop flight can carry up to 150 passengers and the two-stop flight can carry up to 100 passengers. The agency can locate no more than 10 planes for the travel packages. Each package with a nonstop flight sells for $1200, and each package with a two-stop flight sells for $900. assume that each plane will carry the maximum number of passengers.
\n" ); document.write( ":
\n" ); document.write( "A. Write a system of linear equalities to represent the constraints.
\n" ); document.write( "Let x = no. of non-stop airplanes
\n" ); document.write( "Let y = no. of 2-stop airplanes
\n" ); document.write( ":
\n" ); document.write( "total passenger constraint
\n" ); document.write( "150x + 100y =< 1200
\n" ); document.write( ":
\n" ); document.write( "Total Airplanes constraint
\n" ); document.write( "x + y =< 10
\n" ); document.write( ":
\n" ); document.write( "B.Graph the feasible region.
\n" ); document.write( "Arrange the above equations for graphing
\n" ); document.write( "150x + 100y = 1200
\n" ); document.write( "100y = 1200 - 150x
\n" ); document.write( "y = 12 - 1.5x; purple
\n" ); document.write( "and
\n" ); document.write( "x + y = 10
\n" ); document.write( "y = 10 - x; green
\n" ); document.write( ":
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-4%2C+10%2C+-4%2C+15%2C+12-1.5x%2C+10-x%29+\"
\n" ); document.write( "Feasibility region is all positive values at or below either line, which ever is lowest.
\n" ); document.write( ":
\n" ); document.write( "C.Write an objective function that maximizes the revenue for the tourist agency, and find the maximum revenue for the given constraints.
\n" ); document.write( ":
\n" ); document.write( "x,y
\n" ); document.write( "0,10: revenue
\n" ); document.write( "0*150*1200=0,
\n" ); document.write( "10*100*900 = 900,000
\n" ); document.write( "----------------
\n" ); document.write( "total $900,000
\n" ); document.write( ":
\n" ); document.write( "x,y
\n" ); document.write( "4,6
\n" ); document.write( "4*150*1200 =720000
\n" ); document.write( "6*100*900 = 540000
\n" ); document.write( "------------------
\n" ); document.write( "total rev = $1,260,000
\n" ); document.write( ":
\n" ); document.write( "x,y
\n" ); document.write( "8,0
\n" ); document.write( "8*150,1200 = 1440000
\n" ); document.write( "0*100,900 = 0
\n" ); document.write( "---------------------
\n" ); document.write( "total rev = $1,440,000
\n" ); document.write( ":
\n" ); document.write( "It looks like you load up 8 nonstop planes at $1200 ea, for max revenue \n" ); document.write( "
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