70 Boulder 60 50 San Francisco Relative Consumer Price Index Percentage 40 30 Nantucket 20 Duluth 10 10 12 Month in Year 2021 2 3 4 5 6 10 11 12 B 47 50 46 45 48 52 54 61 62 63 59 55 SF 41 44 46 48 52 53 53 53 51 51 49 47 47 N 35 34 34 36 36 37 37 36 35 35 34 33 32 D 9 11 1 1 12 14 15 17 19 20 22 24 24 25 Monthly Relative Consumer Price Index (CPI) in % for Boulder, Colorado; Duluth, Minnesota; Nantucket, Massachusetts; and San Francisco, California, over a 12-month period on the same day of the Year 2021 are shown in the figures. Assume these data are taken from a continuous CPI function I(t) I(t). The average relative CPI (in %) over the 12-month period is I - _ fo? I (t) atl - 1252I(1)dt. (i) Evaluate an accurate approximation to the average relative CPI (in %) over the 12-month period for Boulder using Simpson's Rule. Work must be included; you can write the stepsumbers or attach an Excel file. (ii) Provide a conclusion for what you evaluate. (iii) Is your summation (a) overestimated, (b) underestimated, or (c) neither based on the nature of the graph itself? Why