A defense contractor is starting production on a new missile control system. On the basis of data collected during the assembly of the first 16 control systems, the production manager obtained the function L(x)=2,700x describing the rate of labor use. For example, after assembly of 16 units, the rate of assembly is 675 labor-hours per unit, and after assembly of 100 units, the rate of assembly is 270 labor-hours per unit. The more units assembled, the more efficient the process.

If 21,600 labor-hours are required to assemble the first 16units, how many labor-hours L(x) will be required to assemble the first x units? The first 100?