document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1186038>Question 1186038</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solving real life problems involving functions<BR>\n" );
document.write( "Meet bestfriend Jessa and chan. They have formed a partnership. Jessa being the creative one makes fashionable face masks. Chan, being business-minded, markets the face masks Jessa makes. In a recent month, they spent 600 pesos on a raw materials to make 32 pieces of masks and sold each for 30 pesos each. Assuming that they are not required to pay a sales taxes, their net profit depends on the number of pieces sold.<BR>\n" );
document.write( "A. What are the three constants or fixed values in the problem?<BR>\n" );
document.write( "Let use n to represent the number of pieces of face masks sold and P for the net profit<BR>\n" );
document.write( "B. What should be the greatest value of n?<BR>\n" );
document.write( "C. What should be the greatest value of P?<BR>\n" );
document.write( "D. What should be the least value of n?<BR>\n" );
document.write( "E. What should be the least value of P?<BR>\n" );
document.write( "F. By a table values, show  what happens to the value of as n increases.(Show 3 values of n only in the table).<BR>\n" );
document.write( "G. How many pieces need to be sold so that sales and expenses are even or the same?<BR>\n" );
document.write( "H. Represent as function the relation between P(n) and n. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #816958 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=816958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> n = the number of masks sold.<BR>\n" );
document.write( "P = the net profit = the revenue minus the cost.<BR>\n" );
document.write( "C = the cost for 32 masks = 600.<BR>\n" );
document.write( "the revenue is equal to 30 * n\r<BR>\n" );
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document.write( "A. What are the three constants or fixed values in the problem?\r<BR>\n" );
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document.write( "the 3 constants would be.<BR>\n" );
document.write( "cost of 600 pesos for the raw materials.<BR>\n" );
document.write( "sale price of 30 pesos for each face mask.<BR>\n" );
document.write( "maximum number of masks that can be sold is 32.\r<BR>\n" );
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document.write( "B. What should be the greatest value of n?\r<BR>\n" );
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document.write( "the greatest value of n would be 32.\r<BR>\n" );
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document.write( "C. What should be the greatest value of P?\r<BR>\n" );
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document.write( "the maximum profit is when all masks are sold.<BR>\n" );
document.write( "that would be 32 * 30 = 960 minus 600 = 360.\r<BR>\n" );
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document.write( "D. What should be the least value of n?\r<BR>\n" );
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document.write( "the least value of n would be equal to 0.<BR>\n" );
document.write( "this assumes that none of the masks were sold.\r<BR>\n" );
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document.write( "E. What should be the least value of P?\r<BR>\n" );
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document.write( "P = revenue minus cost.<BR>\n" );
document.write( "the cost is 600.<BR>\n" );
document.write( "the revenue is 30 * the number of masks sold.<BR>\n" );
document.write( "if they didn't sell any masks, then the formula becomes:<BR>\n" );
document.write( "P = 0 * 30 - 600 = -600.<BR>\n" );
document.write( "a profit of minus 600 means a loss of 600.<BR>\n" );
document.write( "the least value of P would be -600.\r<BR>\n" );
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document.write( "F. By a table values, show what happens to the value of as n increases.(Show 3 values of n only in the table).\r<BR>\n" );
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document.write( "when n = 10, P = 10 * 30 minus 600 = 300 minus 600 = minus 300.<BR>\n" );
document.write( "when n = 20, P = 20 * 30 minus 600 = 600 minus 600 = 0.<BR>\n" );
document.write( "when n = 30, P = 30 * 30 minus 600 = 900 minus 600 = 300.\r<BR>\n" );
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document.write( "G. How many pieces need to be sold so that sales and expenses are even or the same?\r<BR>\n" );
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document.write( "break even point is when the profit is equal to 0.<BR>\n" );
document.write( "P = 30 * n - 600<BR>\n" );
document.write( "set P = 0 to get:<BR>\n" );
document.write( "0 = 30 * n - 600<BR>\n" );
document.write( "add 600 to both sides of this equation to get:<BR>\n" );
document.write( "600 = 30 * n<BR>\n" );
document.write( "solve for n to get:<BR>\n" );
document.write( "n = 600 / 30 = 20.<BR>\n" );
document.write( "break even point is when 20 masks are sold.<BR>\n" );
document.write( "when 20 masks are sold, P = 20 * 30 - 600 = 600 - 600 = 0.\r<BR>\n" );
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document.write( "H. Represent as function the relation between P(n) and n.\r<BR>\n" );
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document.write( "P(n) = 30 * n - 600.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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