The opening inventory value on February $1,2024$ in Boathouse Restaurant in North Vancouver was $$5,245.$ The purchases in February, $2024$ in this restaurant amounted to $$43,200.$ The restaurant provides free lunches $20$ times in a month to it$$s $30$ employees, and the cost of each lunch is $$6.$ On February $29,$ the storage inventory records showed $$6,200$ worth items in stock. What was the cost of food sold in this restaurant in February $2024?$

a$.$

$$38,845$

b$.$

$$44,845$

c$.$

$$6,200$

d$.$

$$42,245$