document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1035222>Question 1035222</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi everyone please help me with these..<BR>\n" );
document.write( "suppose three companies: A, B, C dominates the market for a certain product and are competing against each other for a large share of the market. currently comapany A has 2/9 of the market, comapany B has 4/9 of the market and company C has 1/3 of the market. the market survey indicates that every 6 months company A retains 3/4 of its customer and loss 1/6 to company B and 1/12 to company C. company B retains 1/2 of its customer and loss 1/3 to company A and 1/6 to company C. company C retains 3/8 of its customer and loss 1/4 to company A and 3/8 to company B. find the share of the market that each company will have. <BR>\n" );
document.write( "1. one year later<BR>\n" );
document.write( "2. in the long run </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #649865 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=649865\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  three companies: A, B, C dominates the market for a certain product and are competing against each other for a large share of the market.<BR>\n" );
document.write( "--------- <BR>\n" );
document.write( "currently company A has 2/9 of the market, company B has 4/9 of the market and company C has 1/3 of the market. <BR>\n" );
document.write( "------------------------------------<BR>\n" );
document.write( "the market survey indicates that every 6 months <BR>\n" );
document.write( "company A retains 3/4 of its customer and losses 1/6 to company B and 1/12 to company C. <BR>\n" );
document.write( "company B retains 1/2 of its customer and losses 1/3 to company A and 1/6 to company C. <BR>\n" );
document.write( "company C retains 3/8 of its customer and losses 1/4 to company A and 3/8 to company B. find the share of the market that each company will have.<BR>\n" );
document.write( "======= <BR>\n" );
document.write( "1. one year later:<BR>\n" );
document.write( "A = 2[((3/4)-(1/6)-(1/12))(2/9) +(1/3)(4/9) +(1/4)(1/3)] <BR>\n" );
document.write( "B = 2[((1/2) -(1/3)-(1/6))(4/9) +(1/6)(2/9) +(3/8)(1/3)]<BR>\n" );
document.write( "C = 2[((3/8) -(1/4)-(3/8))(1/3) +(1/12)(2/9)+(1/6)(4/9)]<BR>\n" );
document.write( "2. in the long run<BR>\n" );
document.write( "Compare the answers you get for A,B,C to the fraction<BR>\n" );
document.write( "they had at the beginning of the year.  See a decrease<BR>\n" );
document.write( "or an  increase?? That's what will happen each year.<BR>\n" );
document.write( "I'll leave that to you.<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );