Question

Using a computerized Inventory Management System, a Paint Supply Store franchise continuously monitors the inventory of all the paint located at each of their 15 stores and their distribution warehouse. The Paint Supply Store franchise sells an average of 74 gallons of Purple Paint every week (for 52 weeks per year, Standard Deviation of the Demand = 8 gallons). They purchase Purple Paint from their supplier at a price of $4.00 per gallon.It takes 2.50 weeks to receive an order from the supplier.Administrative costs for Ordering paint have been estimated to be $35 per order.Holding Costs = 40% of the purchase price per gallon per year.How much Safety Stock should the company hold to have a Service Level of 99.0%?

Answer 1

Answer: 29.4 gallons

Explanation:

The Safety Stock that should be held by the company to have a Service Level of 99.0% will be:

= Z × σ × ✓LT

Z = 2.326

σ = Standard deviation = 8

LT = Lead time = 2.50

Safety stock = = Z × σ × ✓LT

= 2.326 × 8 × ✓2.50

= 2.326 × 8 × 1.58

= 29.4 gallons

The safety stock is 29.4 gallons.