Emrald Corp currently uses a manufacturing facility costing $$500,000$ per year; $90\%$ of the facility's capacity is currently being used. A start$-$up business has proposed a plan that would utilize the other $10\%$ of the facility and increase the overall costs of maintaining the space by $5\%.$ If the stand$-$alone method were used, what amount of cost would be allocated to the start$-$up

$?$business

$$52,500,.a$

$$50,000,.b$

$$50,500,.c$

$$48,000,.d$