Suppose the Resident Population P(in Millions) of the United States $P = 0.00000583 t ^ { 3 } + 0.005003 t ^ { 2 } + 0.13776 t + 4.658 , - 6 \leq t \leq 193$

Multiple Choice

Suppose the resident population P(in millions) of the United States can be modeled by $P = 0.00000583 t ^ { 3 } + 0.005003 t ^ { 2 } + 0.13776 t + 4.658 , - 6 \leq t \leq 193$ , where $t = 0$ corresponds to 1800. Analytically find the minimum and maximum populations in the U.S. for $- 6 \leq t \leq 193$ .

A) The population is minimum at $t = - 6$ and maximum at $t = 0$ .
B) The population is minimum at $t = 0$ and maximum at $t = 193$ .
C) The population is minimum at $t = 193$ and maximum at $t = - 6$ .
D) The population is minimum at $t = - 6$ and maximum at $t = 193$ .
E) The population is minimum at $t = 0$ and maximum at $t = - 6$ .