document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=442009>Question 442009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello! I need some help trying to solve parts a and b. I've already used the quadratic formula to find the two zeros (.5 and 2) but I am having trouble moving forward. Thank you so much!!\r<BR>\n" );
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document.write( "An espresso stand finds that its weekly profit is a function of the price, x, it charges per cup. If x is in dollars, the weekly profit is P(x) = -2900x^2 + 7250x - 2900 dollars. \r<BR>\n" );
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document.write( "a) Approximate the maximum profit and the price per cup that produces that profit.\r<BR>\n" );
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document.write( "b) Which function, P(x - 2) or P(x) - 2, gives a function that has the same maximum profit? What price per cup produces that maximum profit? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #304931 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=304931\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello! I need some help trying to solve parts a and b. I've already used the quadratic formula to find the two zeros (.5 and 2) but I am having trouble moving forward. Thank you so much!! <BR>\n" );
document.write( "An espresso stand finds that its weekly profit is a function of the price, x, it charges per cup. If x is in dollars, the weekly profit is P(x) = -2900x^2 + 7250x - 2900 dollars.<BR>\n" );
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document.write( "Note that value is the average of 0.5 and 2: (0.5+2)/2 = 1.25<BR>\n" );
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document.write( "a) Approximate the maximum profit and the price per cup that produces that profit.<BR>\n" );
document.write( "Maximum for a quadratic always where x = -b/2a = -7250/(2(-2900)) = $1.25<BR>\n" );
document.write( "Then max profit = f(1.25) = $1631.30<BR>\n" );
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document.write( "b) Which function, P(x - 2) or P(x) - 2, gives a function that has the same maximum profit? What price per cup produces that maximum profit?<BR>\n" );
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document.write( "P(x-2) moves all point 2 to the right and changes the price to x = $3.25.<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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