southwest U$\text{'}$s campus book store sells course packs for $$13$ each, the variable cost per pack is $$6,$ fixed costs to produce the packs are $$200,000,$ and expected annual sales are $63,000$ packs. What are the pre$-$tax profits from sales of course packs?

a$.$ $$619,000$

b$.$ $$178,000$

c$.$ $$441,000$

d$.$ $$241,000$

e$.$ $$641,000$