document.write( "Question 900237: the financial manager of a college newsletter determine that 1000 copies of the newsletter will be sold if the price is 50 cents and that the number of copies sold decrease by 10 for each 1 cent added to the price. What price will yield the largest gross income from sales and what is the largest gross income? \n" ); document.write( "
Algebra.Com's Answer #545840 by lwsshak3(11628)\"\" \"About 
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the financial manager of a college newsletter determine that 1000 copies of the newsletter will be sold if the price is 50 cents and that the number of copies sold decrease by 10 for each 1 cent added to the price. What price will yield the largest gross income from sales and what is the largest gross income?
\n" ); document.write( "***
\n" ); document.write( "let x=number of 1 cent price increases
\n" ); document.write( "Revenue=price*copies sold
\n" ); document.write( "R(x)=(50+x)(1000-10x)=50000+500x-10x^2
\n" ); document.write( "-10x^2+500x+50000
\n" ); document.write( "-x^2+50x+5000
\n" ); document.write( "complete the square:
\n" ); document.write( "-(x^2-50+625)+625+5000
\n" ); document.write( "R(x)=-(x-25)^2+5625
\n" ); document.write( "This is an equation of a parabola that opens down with vertex at (25,5625)
\n" ); document.write( "What price will yield the largest gross income from sales: $25
\n" ); document.write( "What is the largest gross income? $5625 \n" ); document.write( "
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