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

R

(t)=75e

t

2t,R(0)=0,

R(t)=75et2t,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)=753t,C(0)=0,

C(t)=753t,C(0)=0,

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

a) (4pts) Find the total profit from t=0 to t=10.

b) (4pts) Find the average daily profit for the first 10 days.