Chapter 5.5, Problem 83E

Labor costs and learning. A defense contractor is starting production on a new missile control system. On the basis of data collected during assembly of the first 16 control systems, the production manager obtained the following function for the rate of labor use:

     $L^{\prime }\left(x\right)=2,400x^{-1/2}$

Approximately how many labor-hours will be required to assemble the 17th through the 25th control units? [Hint: Let a = 16 and b = 25.]