document.write( "Question 989542: QUESTION: Apple sells 1200 of their iPods at price of 200. They know that for every $5.00 decrease in price , 75 more iPods will sell but they will not drop the price below 115.00. write the number of iPods n as a function of the price p. \n" ); document.write( "
Algebra.Com's Answer #609842 by josmiceli(19441)\"\" \"About 
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\"+n+=+1200+%2B+%28%28+200+-+p+%29%2F+5+%29%2A75+\"
\n" ); document.write( "\"+n+=+1200+%2B+15%2A%28+200+-+p+%29+\"
\n" ); document.write( "\"+n+=+1200+%2B+3000+-+15p+\"
\n" ); document.write( "\"+n+=+4200+-+15p+\" answer
\n" ); document.write( "----------------------------------
\n" ); document.write( "\"+p+=+115+\" is the lowest price that can be charged
\n" ); document.write( "\"+n+=+1200+%2B+%28%28+200+-+115+%29+%2F+5+%29%2A75+\"
\n" ); document.write( "\"+n+=+1200+%2B+%28+85%2F5+%29%2A75+\"
\n" ); document.write( "\"+n+=+1200+%2B+85%2A15+\"
\n" ); document.write( "\"+n+=+1200+%2B+1275+\"
\n" ); document.write( "\"+n+=+2475+\" is the most ipods that can be sold
\n" ); document.write( "by dropping the price
\n" ); document.write( "-----------------------
\n" ); document.write( "Here's the plot of \"+n+=+f%28p%29+\"
\n" ); document.write( "\"+graph%28+400%2C+400%2C+-40%2C+350%2C+-450%2C+4500%2C+-15x+%2B+4200%2C+2475+%29+\"
\n" ); document.write( "Note that the horizontal line is at ( p,n ) = ( 115, 2475 )
\n" ); document.write( "showing the lowest possible price and most ipods that can be sold\r
\n" ); document.write( "\n" ); document.write( "
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