2. At a certain factory, the daily output is (, ) = . ∙ . ∙
. ,
where denotes the capital investment measured in units of $ and the size of the labor
force measured in worker-hours. Suppose that the current capital investment is $ and
that worker-hours of labor are used each day. Use marginal analysis to estimate the effect
of an additional capital investment of $ on the daily output if the size of the labor force is
not changed. Use marginal analysis to estimate the effect of an 100 hours for labor force and the
capital investment does not change.