SOLUTION: 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 pe

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?
Answer by sudhir(14) (Show Source): You can put this solution on YOUR website!
In the question consumption is denoted by y
and the formula says : y = -0.2125t^2 + 2.615t + 56.33
so we will calculate y' & y" to get the value of t to get maxima .
so, y' = -0.2125*2*t + 2.615
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.
the location of maxima can be obtained by putting y' = 0
so, we get t = 6.1529
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.
http://www.walterzorn.com/grapher/grapher_e.htm
this is a graphing site which can be of help as basically this problem was to check your understanding of graphs.
cheers!
RELATED QUESTIONS
Fitting a quadratic model to data Throughout the twentieth century, the eating habits of (answered by stanbon)

I have no idea how to solve this? The population of a small town is given by the... (answered by Fombitz)

Help with this problem, please. The number of first -year enrollment in obsteopathy... (answered by jim_thompson5910)

bottled water: from 1990 to 1999, the per person consumption B of bottled water (in... (answered by stanbon)

Hello. Referred to me by Minka. The polynomial 0.0013x^3 - 0.075x^2 + 1.5x + 11 models (answered by MathLover1)

The price of crude oil during the period 1999-2001 was modeled by: P(t) = -10t^2 + 32... (answered by checkley71)

The amount y of red meat consumed per person in the United States (in pounds) in the... (answered by rwm)

Sales of a software company increased linearly from $120,000 in 1996 to $180,000 in 1999 (answered by lkwtcnj)

According to the data from the U.S. department of Agriculture, the annual per capita... (answered by cutepiscean5)