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) = 2,800x1/2 describing the rate of labor use. For example, after assembly of 16 units, the rate of assembly is 700 labor-hours per unit, and after assembly of 100 units, the rate of assembly is 280 labor-hours per unit. The more units assembled, the more efficient the process. If 22,400 labor-hours are required to assemble the first 16 units, how many labor-hours L(x) will be required to assemble the first x units? The first 100?In order to find L(x),The number of labor-hours that will be required to assemble the first x units is L(x) =(Use integers or fractions for any numbers in the expression.)The number of labor-hours that will be required to assemble the first 100 units is labor-hours.(Type a whole number.)