The Boxwood Company sells blankets for $$40$ each. The following was taken from the inventory records during May. The company had no beginning inventory on May $1.$

Date Blankets Units Cost

May $3$ Purchase $9$

$$17$

$10$ Sale $3$

$17$ Purchase $10$

$$18$

$20$ Sale $6$

$23$ Sale $3$

$30$ Purchase $12$

$$24$

Assuming that the company uses the perpetual inventory system, determine the May $31$ inventory balance using the FIFO inventory cost method.

a$.$ $$323$

b$.$ $$342$

c$.$ $$456$

d$.$ $$414$