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Great Green, Inc determines that it’s marginal revenue per day is given by: R’(t)= 75e^t-2t, R(0)=0,...

Great Green, Inc determines that it’s marginal revenue per day is given by:

R’(t)= 75e^t-2t, R(0)=0,

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

C’(t)=75-3t, C(0)=0,

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

a. find the total profit from t=0 to t=10

b. find the average daily profit for the first 10 days

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