(12 points) 80 S=9 Start (9, 61.07) Slope of Tan = 4.18 at Start Point Actual Change = 3.89 -6 Actual Change 40 20 Start R(s) End -2 0 2 6 8 MR 10 12 14 16 MR(s) -20 -40 (12 points) S=10 Start (10, 64.96) Slope of Tan = 3.6 at Start Point Actual Change = 3.31 -6 Actual 80 R(s) End I Change 40 20 -2 0 2 8 -20 -40 MB MR(s) 12 14 16 Use the applet to answer the following questions. Note that an input box is provided for you to enter a particular number of recliners. Also observe that the End point is one horizontal unit to the right of the Start point (e.g., if the Start point has x = 4, then the End point has x = 5). (a) The marginal revenue may be used to approximate the actual change in revenue when sales increase from 9 recliners to 10 recliners. To do this, find the marginal revenue when s = . Now, interpret marginal revenue as a rate of change of revenue: When recliners are sold, revenue is ??? at a rate of $ (b) Translate your answer in part (a) into function notation, using R' (s). R' ( per additional recliner sold. (c) Find the coordinates of the point MR on the green dotted curve that provides the same information as part (b). Point MR is ( (d) According to the applet, the Actual Change (in orange) in the revenue when sales increase from 9 recliners to 10 recliners is hundred dollars. That is, revenue ??? by total revenue generated from the sale of the 10th recliner is $ (e) Translate your answer in part (d) into function notation, using R(s). hundred dollars when the th recliner is sold. Hence, the R( ) - R( (f) Observe that your work in parts (a) to (d) illustrates the fact that R(n + 1) R(n) + R' (n) for n sofas sold. In particular, R(9) + R' (9) = R(10) = are approximately equal to each other. and