document.write( "Question 1058032: Q1) Suppose a manufacturer of printed circuits has a stock of 200 resistors,120 transistors and 150 capacitors and is required to produce two types of circuits.
\n" ); document.write( " Type A requires 20 resistors, 10 transistors and 10 capacitors.
\n" ); document.write( " Type B requires 10 resistors, 20 transistors and 30 capacitors.
\n" ); document.write( "If the profits on type A circuits is $5 and that on type B circuits is $12, how many of each circuits should be produced in order to maximize the profit?\r
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Algebra.Com's Answer #673435 by Fombitz(32388)\"\" \"About 
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Look at the number of resistors used,
\n" ); document.write( "\"20A%2B10B%3C=200\"
\n" ); document.write( "Look at the number of transistors used,
\n" ); document.write( "\"10A%2B20B%3C=120\"
\n" ); document.write( "Look at the number of capacitors,
\n" ); document.write( "\"10A%2B30B%3C=150\"
\n" ); document.write( "Finally look at the profit function,
\n" ); document.write( "\"P=5A%2B12B\"
\n" ); document.write( "Graph the feasible region,
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\n" ); document.write( "Check the profit function at each of the vertices,
\n" ); document.write( "(0,5): \"P=5%280%29%2B12%285%29=60\"
\n" ); document.write( "(6,3): \"P=5%286%29%2B12%283%29=30%2B36=66\"
\n" ); document.write( "(28/3,4/3): \"P=5%2828%2F3%29%2B12%284%2F3%29=140%2F3%2B48%2F3=188%2F3\"
\n" ); document.write( "(10,0): \"P=5%2810%29%2B12%280%29=50\"
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\n" ); document.write( "\"P%5Bmax%5D=66\"
\n" ); document.write( "\"A=6\"
\n" ); document.write( "\"B=3\"
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