Boston Tile Company makes porcelain floor tiles. The normal selling price per tile is $$3\mathrm{.}50.$ Boston has excess production capacity for an additional $5,000$ tiles, Fixed Manufacturing Costs at capacity of $$15,000,$ and Total Variable Costs per tile are $$2\mathrm{.}15.$ Kait$’$s Hardware contacts Boston to order $3,000$ tiles but wants a discount. There will be an additional $$250$ in Selling and Administrative Costs for this special order.

At what amount should Boston Tile sell these $3,000$ tiles to earn exactly $$0\mathrm{.}50$ profit per tile?

a$.)$$$7,950$

b$.)$$$6,450$

c$.)$$$8,550$

d$.)$$$8,200$