document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=733627>Question 733627</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1 )The PTA at Magnolia Elementary is selling spirit shirts for students to wear on Fridays to raise money for a new track field. For any orders of 100 or more, the silk screening company will charge $195 set up fee and $3.50 per<BR>\n" );
document.write( "T-shirt ordered. The PTA is charging $5 per shirt to students.\r<BR>\n" );
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document.write( "a.     Write an equation for the total cost, C, of ordering t T-shirts. b.          b.    Write an equation for the revenue, R, for selling t T-shirts.<BR>\n" );
document.write( "c.    Write an equation for the profit, P, made by the PTA for selling the        shirts.\r<BR>\n" );
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document.write( "d.   (1 point) How many shirts does the PTA have to sell before they start making money for their fundraiser?\r<BR>\n" );
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document.write( "e.   (1 point) If the PTA needs to raise $5000 for the new track field, how many T-shirts do they need to sell?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #448505 by </B><A HREF=/tutors/aboutme.mpl?userid=chana><B>chana(69)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=chana><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=chana><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=448505\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  1)The PTA at Magnolia Elementary is selling spirit shirts for students to wear on Fridays to raise money for a new track field. For any orders of 100 or more, the silk screening company will charge $195 set up fee and $3.50 per<BR>\n" );
document.write( "T-shirt ordered. The PTA is charging $5 per shirt to students. <BR>\n" );
document.write( "a. Write an equation for the total cost, C, of ordering t T-shirts. b. b. Write an equation for the revenue, R, for selling t T-shirts.<BR>\n" );
document.write( "c. Write an equation for the profit, P, made by the PTA for selling the shirts. <BR>\n" );
document.write( "d. (1 point) How many shirts does the PTA have to sell before they start making money for their fundraiser? <BR>\n" );
document.write( "e. (1 point) If the PTA needs to raise $5000 for the new track field, how many T-shirts do they need to sell?\r<BR>\n" );
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document.write( "Ans:<BR>\n" );
document.write( "Consider fixed cost(FC)= 195$<BR>\n" );
document.write( "Cost pice = 3.50$<BR>\n" );
document.write( "Selling price = 5$<BR>\n" );
document.write( "a.total cost = t*3.50 + 195<BR>\n" );
document.write( "Where t= no of shirts ordered .<BR>\n" );
document.write( "total cost and fixed cost .The above question is answered on the basis that all the expense includes FC+Variable cost<BR>\n" );
document.write( "Where variable cost here is cost of one shirt *total ordered.\r<BR>\n" );
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document.write( "b.Revenue= t*5$<BR>\n" );
document.write( "where t= toal shirts ordered.\r<BR>\n" );
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document.write( "c.P = revenue - Total cost<BR>\n" );
document.write( "    =(t*5)-(t*3.50 + 195)\r<BR>\n" );
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document.write( "d.this is calculated by using break even point, in that point there will be no profit and no loss, after this poin, the company faces profit.<BR>\n" );
document.write( "break even quantity = FC/(CP-SP per unit)<BR>\n" );
document.write( "                    =195/(5-3.5)<BR>\n" );
document.write( "                    =130 shirts.<BR>\n" );
document.write( "So this company have to sell 130 shirts to make a profit.\r<BR>\n" );
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document.write( "e.use this formula P = Total revenue - total cost<BR>\n" );
document.write( "                   5000= (X*5)-(X*3.50 + 195)<BR>\n" );
document.write( "Where X is the total number of shirts to be sold to attain a profit of 5000$<BR>\n" );
document.write( "Solving for X we get 3203 (rounded for nearest whole number)i.e., number of shirts to be sold.<BR>\n" );
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