Question 6

Find the producers' surplus at a price level of p = $90 for the price-supply equation below. p = S(x) = 20 + 0.4x + 0.003x The quantity supplied at the price p is x (Round to the nearest whole number as needed.) The producers' surplus is $ (Round to the nearest dollar as needed.)( X - 12 ) 2 Use a graphing calculator to graph the normal probability density function f(x) = 202 e that has the mean u =700 and the standard deviation o = 200 Choose the correct graph below. O A. OB O c. O D. + + [- 1200, 1600, 100] by [- 1200, 1600, 100] by [300, 1100, 100] by [300, 1 100, 100] by [0,0.001,0.0001] [0,0.03,0.002] [0,0.03,0.002] [0,0.004,0.0002]Evaluate the following definite integral to two decimal places e 0.03(6 -1) dt e 0.03(6 -1) t = (Round to two decimal places as needed.)Find the total income produced by a continuous income stream in the first 10 years if the rate of flow is given by the following function, where t is time in years. f(t) = 4000 How much was earned over 10 years?Find the consumers' surplus and the producers' surplus at the equilibrium price level for the given price-demand and price-supply equations. Include a graph that identifies the consumers' surplus and the producers' surplus. p = D(x) =70e-0.001x. ; p=S(x) =30 +0.0001x2 The consumers' surplus is approximately $ (Round to the nearest dollar as needed.) The producers' surplus is approximately $ (Round to the nearest dollar as needed.) The graph of D(x) = 70e is shown as a solid curve and the graph of S(x) = 30 + 0.0001x is shown as a dotted curve. Choose t correct graph below. O A. O B. O c. O D Ay 100- AY 100- 100- Ay 100- PS X es X 1000 1000 1000 1000