Question

某商品在最近30天内的价格f(t)的函数关系式f(t)=t+8(0

Answer 1

设该商品日销售金额为h(t),则

h(t)=f(t)*g(t)

=(t+8)*(-t+40)

=-t^2+32t+320

=-(t^2-32t)+320

=-(t-16)^2+256+320

=-(t-16)^2+576

所以当t=16时,h(t)有最大值,最大值为576