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