Applications of Definite Integrals to Business and Economics Find the total income produced by a continuous income stream in the first 15 years if the rate of flow is given by the following function, where t is time in years. f(t) = 2500 How much was earned over 15 years? $ Find the consumers' surplus at a price level of p = $160 for the price-demand equation below. p = D(x) = 300 - 0.04x What is the consumer surplus? Find the producers' surplus at a price level of p = $55 for the price-supply equation below. p = S(x) = 5 +0.1x + 0.0003x2 The producers' surplus is $ Barnett, Ziegler, Byleen, Calculus for Business, Economics, Life Sciences, and Social Sciences, Global Edition, 13e