The Polly Company wishes to determine the amount of safety stock that it should maintain for product D that will result in the lowest cost. The following information is available:

Stockout cost

$80 per occurrence

Carrying cost of safety stock

$2 per unit

Number of purchase orders

5 per year

The available options open to Polly are as follows:

Units of Safety Stock

Probability of Running Out of Safety Stock

1. 20

40%

2. 40

20

3. 50

10

4. 55

5

What is the optimal amount of safety stock?