The net profit of a company for the years 2000 to 2011 is approximated by the function p(t) = t3 − 5t2 + 6t, where p is the profit (in thousands of dollars) and t is the number of years that have passed since January 1, 2000. For which period will the company report a net loss?

January 1, 2000, through December 31, 2001

January 1, 2001, through December 31, 2001

January 1, 2002, through December 31, 2002

January 1, 2004, through December 31, 2004

Question

The net profit of a company for the years 2000 to 2011 is approximated by the function p(t) = t3 − 5t2 + 6t, where p is the profit (in thousands of dollars) and t is the number of years that have passed since January 1, 2000. For which period will the company report a net loss?


January 1, 2000, through December 31, 2001


January 1, 2001, through December 31, 2001


January 1, 2002, through December 31, 2002


January 1, 2004, through December 31, 2004