document.write( "Question 758759: A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The trick ski requires 6 labor hours for fabricating and 1 labor hour for finishing. The slalom ski requires 4 labor hours for fabricating and 1 labor hour for finishing. The maximum labor hours available per day for fabricating and finishing are 108 and 24, respectively. If X is the number of trick skis and Y is the number of slalom skis produced per day, write a system of linear inequalities that indicates appropriate restraints on X and Y. Find the set of feasible solutions graphically for the number of each type of ski that can be produced. \r
\n" ); document.write( "\n" ); document.write( "Please help me with this, I am totally lost. Please expalin the steps so I'll understand how to solve these problems. \n" ); document.write( "
Algebra.Com's Answer #461712 by ankor@dixie-net.com(22740)\"\" \"About 
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company makes two types of water skis, a trick ski and a slalom ski.
\n" ); document.write( " The trick ski requires 6 labor hours for fabricating and 1 labor
\n" ); document.write( " hour for finishing.
\n" ); document.write( "The slalom ski requires 4 labor hours for fabricating and 1 labor
\n" ); document.write( " hour for finishing.
\n" ); document.write( "The maximum labor hours available per day for fabricating and
\n" ); document.write( " finishing are 108 and 24, respectively.
\n" ); document.write( "If X is the number of trick skis and Y is the number of slalom skis
\n" ); document.write( " produced per day, write a system of linear inequalities that
\n" ); document.write( " indicates appropriate restraints on X and Y.
\n" ); document.write( " Find the set of feasible solutions graphically for the number of each type of ski that can be produced.
\n" ); document.write( ":
\n" ); document.write( "Fabricating equation
\n" ); document.write( "6x + 4y <= 108
\n" ); document.write( ":
\n" ); document.write( "Finishing equation
\n" ); document.write( "1x + 1y <= 24
\n" ); document.write( ":
\n" ); document.write( "since you can make negatives skis
\n" ); document.write( "x => 0
\n" ); document.write( "y => 0
\n" ); document.write( ":
\n" ); document.write( "Find the set of feasible solutions graphically for the number of each
\n" ); document.write( " type of ski that can be produced.
\n" ); document.write( "We have to put the equations into the slope/intercept to graph
\n" ); document.write( "6x + 4y = 108
\n" ); document.write( "4y = -6x + 108
\n" ); document.write( "divide by 4
\n" ); document.write( "y = -1.5x + 27; Red
\n" ); document.write( "and
\n" ); document.write( "x + y = 24
\n" ); document.write( "y = -x + 24; Green
\n" ); document.write( "Graph these two equations
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-10%2C+35%2C+-10%2C+35%2C-1.5x%2B27%2C+-x%2B24%29+\"
\n" ); document.write( "The feasibility region is at or below the area bounded by the points
\n" ); document.write( "x=0, y=24; x=6, y=18; x=18; y=0
\n" ); document.write( ":
\n" ); document.write( "you can prove this to yourself using the fabricating equation
\n" ); document.write( "6x + 4y <= 108
\n" ); document.write( "x=6 trick skies, y=18 salom skies
\n" ); document.write( "6(6) + 4(18) =
\n" ); document.write( "36 + 72 = 108 total hrs \n" ); document.write( "
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