Acompany determines that its marginal revenue per day is given by R'(t), where R(t) is the total accumulated revenue, in dollars, on the fth day. The company's marginal cost per day is given by C'(t), where C(t) is the total accumulated cost, in dollars, on the tth day. R'(t)=100t, R(0)= 0; C'(t) = 100 ~ 0.7t, 0(0) = 0 a) Find the total prot P(T) from t= 0 to t: 10 (the rst 10 days). , T P(T) = R(T) C(T) =I 0 [R'(t) (70)] dt The total prot is $[:. (Round to the nearest cent as needed) b) Find the average daily prot for the rst 10 days. The average daily prot is S . (Round to the nearest cent as needed.)