Question

The catering manager of lavista​ hotel, lisa​ ferguson, is disturbed by the amount of silverware she is losing every week. last friday​ night, when her crew tried to set up for a banquet for 500​ people, they did not have enough knives. she decides she needs to order some more​ silverware, but wants to take advantage of any quantity discounts her vendor will offer.

Answer 1

Answer:

A.16,971 pieces

B.$530.34

C.$530.32

Explanation:

a)

EOQ = √2∗A∗B÷C

EOQ = Economic Order Quantity

A = Annual Demand

B = Buying Cost

C = Carrying Cost per unit per year

Hence:

A = 45,000 pieces

B = $200 per order

C = $1.25 * 5% per unit per year

= $0.0625

EOQ = √2∗45,000∗$200 ÷ $0.0625

= 16,970.56 approximately 16,971 pieces

b)

Annual Holding Cost = Average Inventory * Holding Cost per unit per year

Average Inventory = EOQ÷2

Using the formula

Annual Holding Cost = 16,971 ÷2 ∗$0.0625

Annual Holding Cost =8,485.5×$0.0625

Annual Holding Cost = $530.34

c)

Annual Ordering Cost = Ordering Cost Per order * No. of Orders

No. of Orders = Annual Demand÷EOQ

Annual Ordering Cost = $200∗45,000÷ 16,971

Annual Ordering Cost =$9,000,000÷16,971

Annual Ordering Cost = $530.32