document.write( "Question 88017: A manufacturer produces both two-slice and four-slice toasters. The two-slice
\n" ); document.write( "toaster takes 6 h of labor to produce and the four-slice toaster 10 h. The labor available
\n" ); document.write( "is limited to 300 h per week, and the total production capacity is 40 toasters
\n" ); document.write( "per week. Write a system of inequalities representing this situation. Then, draw a
\n" ); document.write( "graph of the feasible region, given these conditions, in which x is the number of
\n" ); document.write( "two-slice toasters and y is the number of four-slice toasters. \n" ); document.write( "
Algebra.Com's Answer #64162 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
A manufacturer produces both two-slice and four-slice toasters. The two-slice
\n" ); document.write( "toaster takes 6 h of labor to produce and the four-slice toaster 10 h. The labor available is limited to 300 h per week, and the total production capacity is 40 toasters per week. Write a system of inequalities representing this situation.
\n" ); document.write( ":
\n" ); document.write( "x = no. of 2-slice
\n" ); document.write( "y = no. of 4-slice
\n" ); document.write( ":
\n" ); document.write( "Labor equation:
\n" ); document.write( "6x + 10y =< 300
\n" ); document.write( "Arrange equation for graphing:
\n" ); document.write( "10y =< 300 - 6x
\n" ); document.write( "y =< (300/10) - (6/10)x
\n" ); document.write( "y =< 30 - .6x; graph this
\n" ); document.write( ":
\n" ); document.write( "Production equation
\n" ); document.write( "x + y =< 40
\n" ); document.write( "y =< 40 - x; graph this also
\n" ); document.write( ":
\n" ); document.write( "Then, draw a graph of the feasible region, given these conditions, in which x is the number of two-slice toasters and y is the number of four-slice toasters.
\n" ); document.write( ":
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-10%2C+50%2C+-10%2C+50%2C++30-.6x%2C+40-x%29+\"
\n" ); document.write( ":
\n" ); document.write( "Feasibility region at or below both lines, which ever is lowest.
\n" ); document.write( "obviously only the positive region is considered
\n" ); document.write( ":
\n" ); document.write( "Did this help you? \n" ); document.write( "
\n" );