document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=149747>Question 149747</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a.)Suppose that a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answer in the form p=mx+b. (write an equation using two points).\r<BR>\n" );
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document.write( "b.)A company's revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation p. Substitute the result from part a into the equation R=xp to find the revenue equation.\r<BR>\n" );
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document.write( "here is what I have so far:<BR>\n" );
document.write( "a.) <BR>\n" );
document.write( "my equation are in the form p=mx+b<BR>\n" );
document.write( "20 = 42x + b                    10 = 52x + b<BR>\n" );
document.write( "I think I am supposed to find the difference.<BR>\n" );
document.write( "   20 = 42x + b<BR>\n" );
document.write( " -(10 = 52x + b)\r<BR>\n" );
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document.write( "=10 = -52x\r<BR>\n" );
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document.write( "This is where I am completely lost. Please help me. <BR>\n" );
document.write( "Thanks a lot! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #109939 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=109939\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> a.)Suppose that a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. If they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a month's time. Find the equation of the line for the demand equation. Write your answer in the form p=mx+b. (write an equation using two points).<BR>\n" );
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document.write( "Points: ($20,42) and ($10,52)<BR>\n" );
document.write( "slope = (52-42)/(10-20) = -1<BR>\n" );
document.write( "Find the intercept:<BR>\n" );
document.write( "42 = -1(20) + b<BR>\n" );
document.write( "b = 62<BR>\n" );
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document.write( "EQUATION:<BR>\n" );
document.write( "p = -x + 62<BR>\n" );
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document.write( "b.)A company's revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation p. Substitute the result from part a into the equation R=xp to find the revenue equation. <BR>\n" );
document.write( "R(x) = x(-x+62) = -x^2+62x<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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