Great Green, Inc., determines that its marginal revenue per day is given by

R

(t)=100e

t

,R(0)=0,

R(t)=100et,R(0)=0,

where R(t) is the total accumulated revenue, in dollars, on day t. The company's marginal cost per day is given by

C

(t)=100t

2

,C(0)=0,

C(t)=100t2,C(0)=0,

where C(t) is the total accumulated cost, in dollars, on day t.

a) (5pts) Find the total profit from t=0 to t=3.

b) (5pts) Find the average daily profit for the first 3 days.