document.write( "Question 707446: The total coast for a company to manufacture and sell x items per week is C= 60x +300, whereas the revenue brought in by selling all x items is R= 100x - .5x^2. How many items must be sold to obtain a weekly profit of $300? \n" ); document.write( "

Algebra.Com's Answer #435707 by josmiceli(19441) $\"\"$ $\"About$

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The profit is Revenue minus Cost, or $\"+P+=+R+-+C+\"$
\n" ); document.write( " $\"+R+=+100x+-+.5x%5E2+\"$
\n" ); document.write( " $\"+C+=+60x+%2B+300+\"$
\n" ); document.write( " $\"+R+-+C+=+100x+-+.5x%5E2+-+60x+-+300+\"$
\n" ); document.write( " $\"+P+=+100x+-+.5x%5E2+-+60x+-+300+\"$
\n" ); document.write( "Given:
\n" ); document.write( " $\"+P+=+300+\"$
\n" ); document.write( " $\"+300+=+100x+-+.5x%5E2+-+60x+-+300+\"$
\n" ); document.write( " $\"+-.5x%5E2+%2B+100x+-+60x+-+600+=+0+\"$
\n" ); document.write( " $\"+-.5x%5E2+%2B+40x+-+600+=+0+\"$
\n" ); document.write( " $\"+-x%5E2+%2B+80x+-+1200+=+0+\"$
\n" ); document.write( "use quadratic formula
\n" ); document.write( " $\"x+=+%28-80+%2B-+sqrt%28+80%5E2-+4%2A%28-1%29%2A%28-1200%29+%29%29%2F%282%2A%28-1%29%29+\"$
\n" ); document.write( " $\"x+=+%28-80+%2B-+sqrt%28+6400+-+4800+%29%29%2F%28-2%29+\"$
\n" ); document.write( " $\"x+=+%28-80+%2B-+sqrt%28+1600+%29%29%2F%28-2%29+\"$
\n" ); document.write( " $\"+x+=+%28+-80+%2B+40+%29+%2F+%28-2%29+\"$
\n" ); document.write( " $\"+x+=+-40%2F+%28-2%29+\"$
\n" ); document.write( " $\"+x+=+20+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+x+=+%28+-80+-+40+%29+%2F+%28-2%29+\"$
\n" ); document.write( " $\"+x+=+60+\"$
\n" ); document.write( "-----------
\n" ); document.write( "According to answers they make a profit of $300/wk
\n" ); document.write( "if they sell 20 items or 60 items
\n" ); document.write( "check answers:
\n" ); document.write( " $\"+P+=+100x+-+.5x%5E2+-+60x+-+300+\"$
\n" ); document.write( " $\"+300+=+100x+-+.5x%5E2+-+60x+-+300+\"$
\n" ); document.write( " $\"+300+=+100%2A20+-+.5%2A20%5E2+-+60%2A20+-+300+\"$
\n" ); document.write( " $\"+300+=+2000+-+200+-+1200+-+300+\"$
\n" ); document.write( " $\"+300+=+2000+-+1700+\"$
\n" ); document.write( " $\"+300+=+300+\"$
\n" ); document.write( "OK
\n" ); document.write( "and
\n" ); document.write( " $\"+300+=+100%2A60+-+.5%2A60%5E2+-+60%2A60+-+300+\"$
\n" ); document.write( " $\"+300+=+6000+-+1800+-+3600+-+300+\"$
\n" ); document.write( " $\"+300+=+6000+-+5700+\"$
\n" ); document.write( " $\"+300+=+300+\"$
\n" ); document.write( "OK \n" ); document.write( "

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