document.write( "Question 112715: A small firm produces both AM and AM/FM car radios. The AM radios take 15 h
\n" ); document.write( "to produce, and the AM/FM radios take 20 h. The number of production hours is
\n" ); document.write( "limited to 300 h per week. The plant’s capacity is limited to a total of 18 radios perweek, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y the number of AM/FM radios. \n" ); document.write( "
Algebra.Com's Answer #82241 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
This same problem came up a few weeks ago, this is what I submitted then, perhaps it will help you.
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\n" ); document.write( "A small firm produces both AM and AM/FM car radios. The AM radios take 15 h to produce, and the AM/FM radios take 20 h. The number of production hours is limited to 300 h per week. The plant's capacity is limited to a total of 18 radios per week, and existing orders require that at least 4 AM radios and at least 3 AM/FM radios be produced per week. Write a system of inequalities representing this situation. Then, draw a graph of the feasible region given these conditions, in which X is the number of AM radios and Y is the number of AM/FM radios.
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\n" ); document.write( "Let x = number of AM radios; let y = number of AM/FM radios
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\n" ); document.write( "The production hour constraint:
\n" ); document.write( "15x + 20y =< 300
\n" ); document.write( "Arrange in general form to plot the graph
\n" ); document.write( "20y =< 300 - 15x
\n" ); document.write( "y =< 300/20 - (15/20)x
\n" ); document.write( "y =< 15 - .75x, use this to plot the production hr graph (Purple line)
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\n" ); document.write( "Plant's capacity constraint:
\n" ); document.write( "x + y =< 18
\n" ); document.write( "y =< 18 - x, plot this graph also (Green line)
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\n" ); document.write( "Min AM radio production constraint:
\n" ); document.write( "x => 4
\n" ); document.write( "This will be a vertical line going thru the x axis at +4, (I can't draw this in)
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\n" ); document.write( "Min AM/FM radio production constraint
\n" ); document.write( "y => 3
\n" ); document.write( "This will be a horizontal line going thru the y axis at +3, (Dark blue line)
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\n" ); document.write( "Here is the graph as presented by these equations except for x => 4,
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\n" ); document.write( "\"+graph%28+300%2C+200%2C+-5%2C+25%2C+-5%2C+25%2C+15-.75x%2C+18-x%2C3%29+\"
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\n" ); document.write( "The feasibility region:
\n" ); document.write( " 1. At or below the purple or green line, whichever is lowest
\n" ); document.write( " 2. At or above the horizontal line
\n" ); document.write( " 3. At or to the right of the vertical line which you have to draw in at x = +4
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\n" ); document.write( "How about this, did it all make some sense to you? \n" ); document.write( "
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