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$10$Q

What is the estimated cost of the $200$th unit of output?

$$467$

$$457$

$$443$

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?

$96\%$

$82\%$

$69\%$