Question

15 stores and their distribution warehouse. The Paint Supply Store franchise sells an average of 70 gallons of Purple Paint every week (for 52 weeks per year). Their current policy is that when they place an order for Purple Paint from their supplier, they order 90 gallons at a price of $4.00 per gallon. [The company does not hold Safety Stock] 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. What is the Total Annual Inventory Cost for the company's current policy?

Answer 1

Answer: $1,487.56

Step-by-step explanation:

Total annual inventory cost = Ordering cost + Inventory Holding cost

Ordering cost = Number of orders * ordering cost

= (Annual demand / Order quantity) * 35

= ((52 weeks per year * 70) / 90) * 35

= $1,415.56

Inventory holding cost:

= Average inventory * holding cost

= (90 gallons / 2) * (40% * 4)

= $72

Total annual inventory cost = 1,415.56 + 36

= $1,487.56