document.write( "Question 697046: The cost to develop a DVD is $300,000. DVDs can be made for $0.27 each. Two hundred DVDs are given away as samples. How many DVDs must be produced for the average cost to be under $12? \n" ); document.write( "

Algebra.Com's Answer #429624 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+C+\"$ = the cost to produce $\"+n+\"$ DVD's
\n" ); document.write( "which do not include the $\"+200+\"$ samples
\n" ); document.write( "The $300,000 is a fixed cost, and the $\"+200+\"$
\n" ); document.write( "that are given away is a fixed cost. This fixed cost
\n" ); document.write( "is the $\"+200%2A.27+\"$ production cost of
\n" ); document.write( "the samples
\n" ); document.write( " $\"+C+=+.27n+%2B+300000+%2B+200%2A.27++\"$
\n" ); document.write( " $\"+C+=+.27n+%2B+300000+%2B+54+\"$
\n" ); document.write( " $\"+C+=+.27n+%2B+300054+\"$
\n" ); document.write( "The average cost is required to be
\n" ); document.write( " $\"+C+%2F+%28+n+%2B+200+%29+%3C+12+\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"+%28+.27n+%2B+300054+%29+%2F+%28+n+%2B+200+%29+%3C+12+\"$
\n" ); document.write( " $\"+.27n+%2B+300054++%3C+12%2A%28+n+%2B+200+%29+\"$
\n" ); document.write( " $\"+.27n+%2B+300054+%3C+12n+%2B+2400+\"$
\n" ); document.write( " $\"+11.73n+%3E+300054+-+2400+\"$
\n" ); document.write( " $\"+11.73n+%3E+297654+\"$
\n" ); document.write( " $\"+n+%3E+25375.5+\"$
\n" ); document.write( " $\"+n+%2B+200+%3E+25575.5+\"$
\n" ); document.write( "25,577 DVDs must be produced for the
\n" ); document.write( "average cost to be under $12
\n" ); document.write( "-----------------
\n" ); document.write( "check answer:
\n" ); document.write( " $\"+C+=+.27n+%2B+300054+\"$
\n" ); document.write( " $\"+C+=+.27%2A25377+%2B+300054+\"$
\n" ); document.write( " $\"+C+=+6851.79+%2B+300054+\"$
\n" ); document.write( " $\"+C+=+306905.79+\"$
\n" ); document.write( " $\"+C+%2F+%28+n+%2B+200+%29+%3C+12+\"$
\n" ); document.write( " $\"+306905.79+%2F+%28+n+%2B+200+%29+%3C+12+\"$
\n" ); document.write( " $\"+306905.79+%2F+%28+25377+%2B+200+%29+%3C+12+\"$
\n" ); document.write( " $\"+306905.79+%2F+25577+%3C+12+\"$
\n" ); document.write( " $\"+11.999+%3C+12+\"$
\n" ); document.write( "OK
\n" ); document.write( "Hope I got it!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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