You are sourcing an assembly component (item number: KN95) from two suppliers: Supplier X and Y.

In the last year, Supplier X delivered $200,000 worth of the components, and there were 12 instances of late delivery. Supplier Y delivered $100,000 worth of the components, and there were in total 200 defective items that had to be reworked.

The average cost for each type of failure event is as follows:

- Late delivery: $2,000 (per occurrence)

- Rework: $50 (per item)

Below is the unit component price from each supplier:

- Supplier X: $500 (per component)

- Supplier Y: $510 (per component)

Which supplier had the lower total cost in the last year?

a. Supplier X

b. Supplier Y