document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=359127>Question 359127</A>: <I><SPAN STYLE=\"word-break: break-all;\"> when milk is priced at $1.10 per quart and 4000 quarts are sold ber week but when milk is priced at $1.25 per quart only 3700quarst are sold:<BR>\n" );
document.write( "a: use the given price and quantity to find a linear demand equasion of the form y=b+mp that gives the weekly demand y (in quarts) when the price of milk is p dollars per quart. Sketch a graph of the equation.\r<BR>\n" );
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document.write( "b: what does the slope og the graph og the demand equation represent and why is it negetive?\r<BR>\n" );
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document.write( "c: what do the p and y intercepts represent?<BR>\n" );
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document.write( "d: at what price will the demand drop to 3000 quarts?\r<BR>\n" );
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document.write( "e: a survey of local dairies indicates that the supply equation for milk sold at Akamee Dairy is y= 7800p-5070. sketch this line on your graph from part a.\r<BR>\n" );
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document.write( "f: what does the p-intercept of the supply equation represent?\r<BR>\n" );
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document.write( "g: from your graph, estimate the coordinates of the equilibrium point(the point at which the graghs of the supply and demand equation meet).\r<BR>\n" );
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document.write( "h: find the coordinates of the equilibrium point algebraically. What is the equalibriam price and how many quarts of milk are sold at this price? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #256292 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=256292\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> when milk is priced at $1.10 per quart and 4000 quarts are sold ber week but when milk is priced at $1.25 per quart only 3700quarst are sold:<BR>\n" );
document.write( "(1.10,4000) and (1.25,3700)<BR>\n" );
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document.write( "a: use the given price and quantity to find a linear demand equation of the form y=b+mp that gives the weekly demand y (in quarts) when the price of milk is p dollars per quart. Sketch a graph of the equation.<BR>\n" );
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document.write( "slope = -300/0.15 = -2000<BR>\n" );
document.write( "intercept = ?<BR>\n" );
document.write( "4000 = -2000(1.1) + b<BR>\n" );
document.write( "b = 6200<BR>\n" );
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document.write( "y = -2000x + 6200<BR>\n" );
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document.write( "b: what does the slope of the graph of the demand equation represent and why is it negetive?<BR>\n" );
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document.write( "For every one dollar increase in the price, the demand goes down 2000 bottles.<BR>\n" );
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document.write( "c: what do the p and y intercepts represent?<BR>\n" );
document.write( "(0,6200) Theoretically, the demand is 6200 when the price is zero.<BR>\n" );
document.write( "(0.3226,0) Theoretically, the demand is zero when the price is 32 cents<BR>\n" );
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document.write( "d: at what price will the demand drop to 3000 quarts?<BR>\n" );
document.write( "Solve 3000 = -2000x + 6200<BR>\n" );
document.write( "x = $1.60<BR>\n" );
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document.write( "e: a survey of local dairies indicates that the supply equation for milk sold at Akamee Dairy is y= 7800p-5070. sketch this line on your graph from part a.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28400%2C300%2C-5%2C5%2C-6000%2C7000%2C7800x-5800%2C-2000x%2B6200%29 ALIGN=MIDDLE  ALT=\"graph%28400%2C300%2C-5%2C5%2C-6000%2C7000%2C7800x-5800%2C-2000x%2B6200%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "etc.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. <BR>\n" );
document.write( "f: what does the p-intercept of the supply equation represent? <BR>\n" );
document.write( "g: from your graph, estimate the coordinates of the equilibrium point(the point at which the graghs of the supply and demand equation meet). <BR>\n" );
document.write( "h: find the coordinates of the equilibrium point algebraically. What is the equalibriam price and how many quarts of milk are sold at this price?<BR>\n" );
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