document.write( "Question 1131431: It costs a company $3,500 to produce 3,000 pencils whereas it costs the company $1,500 a month even if they don't produce any pencils. If they sell the pencils for $0.75 and the cost, revenue, and profit functions are known to be linear, determine how many pencils they must make in a month to break even. \n" ); document.write( "

Algebra.Com's Answer #748126 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+n+\"$ = number of pencils they sell
\n" ); document.write( "Let $\"+R+\"$ = revenue
\n" ); document.write( "Let $\"+C+\"$ = cost
\n" ); document.write( "Let $\"+P+\"$ = profit
\n" ); document.write( "-------------------------
\n" ); document.write( " $\"+P+=+R+-+C+\"$
\n" ); document.write( "At the break even point, $\"+P+=+0+\"$
\n" ); document.write( " $\"+R+-+C+=+0+\"$
\n" ); document.write( " $\"+R+=+C+\"$
\n" ); document.write( "---------------------
\n" ); document.write( " $\"+C+=+%28+3500+-+1500+%29%2F3000+%2B+1500+\"$
\n" ); document.write( " $\"+C+=+.667n+%2B+1500+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+R+=+.75n+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+R+=+C+\"$
\n" ); document.write( " $\"+.75n+=+.667n+%2B+1500+\"$
\n" ); document.write( " $\"+.08333n+=+1500+\"$
\n" ); document.write( " $\"+n+=+18000+\"$
\n" ); document.write( "They must make 18,000 pencils/month
\n" ); document.write( "to break even
\n" ); document.write( " \n" ); document.write( "

\n" );