A company has a cash conversion cycle of $50$ days. Annual outlays are R$10$ million and the cost of negotiated financing is $9\%.$ Calculate its annual savings if the company reduces its average age of inventory by $15$ days. Assume $360$ days per year.

a$.$

R$125000$

b$.$

R $15679$

c$.$

R $87500$

d$.$

R $37500$