Rocio predicts that the amount of corn, CCC, in bushels, produced on her farm ttt years from now can be modeled by the function C(t)=80t+1000C(t)=80t+1000C, left parenthesis, t, right parenthesis, equals, 80, t, plus, 1000, while the price, PPP, in dollars, per bushel of corn ttt years from now can be modeled by the function P(t)=0.03t+5P(t)=0.03t+5P, left parenthesis, t, right parenthesis, equals, 0, point, 03, t, plus, 5. Let III be Rocio's predicted total income from producing corn ttt years from now.