document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055415>Question 1055415</A>: <I><SPAN STYLE=\"word-break: break-all;\"> in a teddy bear factory 130 bears would be sold for $8 each. the company knows that if they charge an extra $1 for each bear, then amount of sales would drop by 4 bears. if the company decides to increase each bear by $x, write an expression for the amount of revenue. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670634 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=670634\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 130 bears will be sold for $8 apiece.\r<BR>\n" );
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document.write( "revenue with 130 bears is equal to 130 * 8.\r<BR>\n" );
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document.write( "for each dollars added to the price of the bears, 4 bears less will be sold.\r<BR>\n" );
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document.write( "let x equal the number of dollars added to the base cost of 8 dollars for each bear.\r<BR>\n" );
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document.write( "let 4x equal the number of bears subtracted from the base number of 130 for each dollar added to the cost.\r<BR>\n" );
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document.write( "the formula for revenue becomes r = (130 - 4x) * (8 + x)\r<BR>\n" );
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document.write( "under the assumption that, if the price is dropped x dollars, then 4x more bears will be sold, this formula can be used to find the the total revenue whether you add x dollars to the price or whether you drop x dollars from the price.\r<BR>\n" );
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document.write( "for example:\r<BR>\n" );
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document.write( "when x = 0, 130 bears are sold at 8 dollars apiece for a total of 8 * 130 = 1040 dollars in revenue.\r<BR>\n" );
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document.write( "when x = 1, 126 bears are sold at 9 dollars apiece for a total of 9 * 126 = 1134 dollars.\r<BR>\n" );
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document.write( "when x = -1, 134 bears are sold at 7 dollars apiece for a total of 7 * 134 = 938 dollars.\r<BR>\n" );
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document.write( "the equation of y = (130 - 4x) * (8 + x) can be graphed.<BR>\n" );
document.write( "when graphing, the y replaces the r.<BR>\n" );
document.write( "the value of the increase or decrease in the base dollar of 8 is shown on the x-axis.<BR>\n" );
document.write( "the value of the revenue is shown on the y-axis.<BR>\n" );
document.write( "the coordinate points are generally shown as (x,y).<BR>\n" );
document.write( "for example, the coordinate point of (0,1040) tells you that when nothing is added to the base price of 8 dollars for each bear, the total revenue is 1040 dollars.\r<BR>\n" );
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document.write( "the first graph shows the values of y when x = -1, 0, 1.<BR>\n" );
document.write( "this corresponds to the price for each bear being 7, 8, 9.<BR>\n" );
document.write( "x represents the change from the base price of 8.<BR>\n" );
document.write( "y represents the revenue.\r<BR>\n" );
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document.write( "here's that graph.<BR>\n" );
document.write( "look below it for the second graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/110201.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( "the second graph shows the full graph and the fact that the maximum revenue occurs when x = 12.25.<BR>\n" );
document.write( "when x = 12.25, the number of bears sold is (130 - 4) * 12.25 = 81 and the price per bear is (8 + 12.25) = 20.25<BR>\n" );
document.write( "the total revenue is 20.25 * 81 = 1640.25.<BR>\n" );
document.write( "x = 12.25 represents the change from the base price of 8.<BR>\n" );
document.write( "y = 1640.25 represents the revenue generated when the price of the bear was increased from 8 to 20.25.\r<BR>\n" );
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document.write( "here's that graph.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2016/110202.jpg\" alt=\"$$$\" </><BR>\n" );
document.write( " </SPAN>\n" );
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