document.write( "Question 61554: A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities. \n" ); document.write( "

Algebra.Com's Answer #42582 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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A home-based company produces both hand-knitted scarves and sweaters. The scarves take 2 hours of labor to produce, and the sweaters take 14 hours. The labor available is limited to 40 hours per week, and the total production capacity is 5 items per week. Write a system of inequalities representing this situation, where x is the number of scarves and y is the number of sweaters. Then graph the system of inequalities.
\n" ); document.write( ":
\n" ); document.write( "The labor inequality:
\n" ); document.write( "2x + 14y =<40
\n" ); document.write( ":
\n" ); document.write( "The production inequality:
\n" ); document.write( "x + y =< 5
\n" ); document.write( ":
\n" ); document.write( "Here is what the graph should look like:
\n" ); document.write( "Put the equations in the the general form:
\n" ); document.write( "y =< (40-2x)/14: purple
\n" ); document.write( "and
\n" ); document.write( "y =< 5 - x; green
\n" ); document.write( "Plot these two:
\n" ); document.write( " $\"+graph%28+300%2C+200%2C+-4%2C+10%2C+-4%2C+10%2C+%2840-2x%29%2F14%2C+5-x%29+\"$ \n" ); document.write( "

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