Which one of the following statements is correct?

a$)$ If a company uses a FIFO inventory system, it must report a LIFO reserve.

b$)$ A company cannot use a perpetual inventory system if it uses LIFO.

c$)$ If a company uses LIFO for tax purposes, it must also use LIFO for financial reporting.

d$)$ When prices are rising, LIFO will provide a higher profit than FIFO.

e$)$ The justification for the lower of cost and NRV rule is the matching principle.