document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=229242>Question 229242</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello. I'm working on a question in Algebra 2 in quadratics. It says:<BR>\n" );
document.write( "A store charges $2 for a one-day rental of a video cassette. On the average, 200 cassettes are rented from the store each day. If a survey indicates that the store's rentals will decrease by and average of 5 per day for each 10-cent increase in rental charge, what should the store charge to maximize its income?\r<BR>\n" );
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document.write( "I figured out that charging $2 and $4 was the same profit ($400 a day), so that means the answer is $3, but I need to show my work in a h(t)=-.5gt+vt+h, where V and H are sub 0. How does this problem fit into that formula? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #170014 by </B><A HREF=/tutors/aboutme.mpl?userid=cornball3440><B>cornball3440(16)</B></A><img src=\"/images/stars/stars-06.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=cornball3440><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=170014\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A store charges $2 for a one-day rental of a video cassette. On the average, 200 cassettes are rented from the store each day. If a survey indicates that the store's rentals will decrease by and average of 5 per day for each 10-cent increase in rental charge, what should the store charge to maximize its income?\r<BR>\n" );
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document.write( "I figured out that charging $2 and $4 was the same profit ($400 a day), so that means the answer is $3, but I need to show my work in a h(t)=-.5gt+vt+h, where V and H are sub 0. How does this problem fit into that formula?<BR>\n" );
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document.write( "If your teacher requires work in that formula, then so be it.\r<BR>\n" );
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document.write( "Your gravity is one day, your velocity is 10t (Explained later), and the original one day total is 400. The 400 is found by multiplying $2 by 200 cassettes, and since your One Day decreases by 5 customers a day, it's found by the -1/2 multiplied by the H sub Zero, 10. So the H was found by dividing 5 and a Positive (Opposite) 1/2.\r<BR>\n" );
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document.write( "In thus, it's symmetrical t point for the function of t is 10. (-b/2a or -10/[2(-1/2)])<BR>\n" );
document.write( "The Increments were in $.1, so 10($.1)=$1<BR>\n" );
document.write( "The Original $2 added to this new $1 is your answer of $3, which you got.\r<BR>\n" );
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document.write( "And if you need to also know how much money that is, plug it into the original idea, which is simpler. 10*5=50, so 200-50 is 150, and 150 customers buying at $3 a movie is $450 a day for maximum output.\r<BR>\n" );
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document.write( "That's quite the brain teaser, I hope you don't have many more like it where work is necessary, or the answer isn't easy to find guess and check tonight or else you'll be up all night. </SPAN>\n" );
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