document.write( "Question 71254: From 1990 to 1996, the consumption of poultry per capita is modeled by y=-0.2125t^2+2.615t+56.33, where t=0 corresponds to 1990. During what year was the consumption of poultry per capita at it's maximum? \n" ); document.write( "
Algebra.Com's Answer #50970 by sudhir(14)![]() ![]() ![]() You can put this solution on YOUR website! In the question consumption is denoted by y \n" ); document.write( "and the formula says : y = -0.2125t^2 + 2.615t + 56.33 \n" ); document.write( "so we will calculate y' & y\" to get the value of t to get maxima . \n" ); document.write( "so, y' = -0.2125*2*t + 2.615 \n" ); document.write( "and y\" = -0.2125*2 which is negative this means that only the maxima appears and no minima or point of inflexion will be there.\r \n" ); document.write( "\n" ); document.write( "the location of maxima can be obtained by putting y' = 0 \n" ); document.write( "so, we get t = 6.1529 \n" ); document.write( "this means that the time ( 1996 + 0.1529 ) had the largest consumption but as our consideration is for the period 1990 to 1996 so 1996 has the maximum consumption.\r \n" ); document.write( "\n" ); document.write( "http://www.walterzorn.com/grapher/grapher_e.htm \n" ); document.write( " this is a graphing site which can be of help as basically this problem was to check your understanding of graphs.\r \n" ); document.write( "\n" ); document.write( "cheers! \n" ); document.write( " |