The financial analysts at the store in Example 5 corrected their projections and are now expecting the total sales for the x day of January to be

(a) Let S(x) be as in Example 5. Compute T(1), T′(1), S(1), and S′(1).

(b) Compare and interpret the data in part (a) as they pertain to the sales on January 1.

Example 5

At the end of the holiday season in January, the sales at a department store are expected to fall (Fig. 3). It is estimated that for the x day of January the sales will be

T(x) = 24 5 + 36 5(3x + 1) thousand dollars.