A company determines that its marginal revenue per day is given by Upper R prime left parenthesis t right parenthesisR(t),where Upper R left parenthesis t right parenthesisR(t)is the total accumulatedrevenue, indollars, on the tth day. Thecompany's marginal cost per day is given by Upper C prime left parenthesis t right parenthesisC(t),where Upper C left parenthesis t right parenthesisC(t)is the total accumulatedcost, indollars, on the tth day. r(t)=130e^t, r(0)=0; C (first derivative t)= 130-0.7t, C(0)=0. Find total profit , P(t) from t=0, to t=10 (the first 10 days).
P(T)=R(T)-C(T)= interval t,0 [r (first derivative t)-c (first derivative t) dt, the total profit is $. (round to the nearest cent as needed)