document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=175893>Question 175893</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Demand equation. Helen’s Health Foods usually sells<BR>\n" );
document.write( "400 cans of ProPac Muscle Punch per week when the price<BR>\n" );
document.write( "is $5 per can. After experimenting with prices for some<BR>\n" );
document.write( "time, Helen has determined that the weekly demand can<BR>\n" );
document.write( "be found by using the equation<BR>\n" );
document.write( "d = 600 - 40p,<BR>\n" );
document.write( "where d is the number of cans and p is the price per can.<BR>\n" );
document.write( "a) Will Helen sell more or less Muscle Punch if she raises<BR>\n" );
document.write( "her price from $5?<BR>\n" );
document.write( "b) What happens to her sales every time she raises her<BR>\n" );
document.write( "price by $1?<BR>\n" );
document.write( "c) Graph the equation.<BR>\n" );
document.write( "d) What is the maximum price that she can charge and<BR>\n" );
document.write( "still sell at least one can? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #131091 by </B><A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><B>ankor@dixie-net.com(22740)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ankor@dixie-net.com><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/cgi-bin/show-face.mpl?user=ankor@dixie-net.com><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=131091\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Demand equation. Helen’s Health Foods usually sells<BR>\n" );
document.write( "400 cans of ProPac Muscle Punch per week when the price<BR>\n" );
document.write( "is $5 per can. After experimenting with prices for some<BR>\n" );
document.write( "time, Helen has determined that the weekly demand can<BR>\n" );
document.write( "be found by using the equation<BR>\n" );
document.write( "d = 600 - 40p,<BR>\n" );
document.write( "where d is the number of cans and p is the price per can.<BR>\n" );
document.write( ":<BR>\n" );
document.write( "a) Will Helen sell more or less Muscle Punch if she raises<BR>\n" );
document.write( "her price from $5?<BR>\n" );
document.write( "Less, 40p is subtracted from 600<BR>\n" );
document.write( ":<BR>\n" );
document.write( "b) What happens to her sales every time she raises her<BR>\n" );
document.write( "price by $1?<BR>\n" );
document.write( "She sells 40 less cans<BR>\n" );
document.write( ":<BR>\n" );
document.write( "c) Graph the equation.<BR>\n" );
document.write( "graph y = 600 - 40x<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+graph%28+300%2C+200%2C+-5%2C+16%2C+-100%2C+700%2C+600-40x%29+ ALIGN=MIDDLE  ALT=\"+graph%28+300%2C+200%2C+-5%2C+16%2C+-100%2C+700%2C+600-40x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ":<BR>\n" );
document.write( "d) What is the maximum price that she can charge and<BR>\n" );
document.write( "still sell at least one can?<BR>\n" );
document.write( "Find p when  d = 1<BR>\n" );
document.write( "600 - 40p = 1<BR>\n" );
document.write( "-40p = 1 -600<BR>\n" );
document.write( "p = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-599%29%2F%28-40%29 ALIGN=MIDDLE  ALT=\"%28-599%29%2F%28-40%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "p = +14.975<BR>\n" );
document.write( "We can say that if she sells it for $14.97, she will still sell at least one can<BR>\n" );
document.write( "Check this: d = 600 - 40(14.97)<BR>\n" );
document.write( "d = 600 - 598.8<BR>\n" );
document.write( "d ~ 1 can </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );