The Emerson Corporation, a manufacturer of airplane landing gear equipment, is trying to develop a learning curve model to help forecast labor costs for successive units of one of its products. From past data, the firm knows that labor costs of the $25$th$,75$th$,$ and $125$th units were $$800,$ $$600,$ and $$500,$ respectively. Using the learning curve equation for these labor costs, log$10$C$=3\mathrm{.}307550\mathrm{.}28724\backslash$times log$10$Qlog$10$C$=3\mathrm{.}307550\mathrm{.}28724\backslash$times log$10$Q What is the estimated cost of the $200$th unit of output? $$443$ $$467$ $$457$ The model estimates that the labor cost for the $50$th unit is $$659\mathrm{.}99.$ What is the approximate percentage of learning at Emerson? $69\%82\%96\%$