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You\'ve recently been hired as a project manager at a distributor of fruits and

ID: 424390 • Letter: Y

Question

You've recently been hired as a project manager at a distributor of fruits and vegetables located in Northern Kentucky. An operations manager has asked for your help in analyzing current inventory policies related to packing crates. She's looking for a lower cost policy Currently, the operation buys crates from a regional supplier. The operation uses 1500 crates each month. Annual carrying cost is 18% of the $6 acquisition cost per crate. Each order costs approximaely $40. Crate supplier lead time is 5 days. Currently, the operation orders crates every two months. You've been asked to develop a lower cost alternative to the existing crate inventory policy

Explanation / Answer

A.

The assumption that the demand is constant is one the requirement for applying EOQ model.

Ans: assume that demand is constant

B.

Currently the company is placing order every two months, means ordering two months demand.

Monthly demand = d = 1500 crates

Order quantity = 2*1500 = 3000 crates

C.

S = ordering cost = $40

A = annual cost = 12*1500 = 18,000

I = holding charge = 18%

C = Unit cost = $6

H = annual holding cost = 0.18*6 = $1.05

EOQ = ?(2AS/H) = ?(2*18000*40/1.08) = 1154.7

Ans: EOQ = 1155 units

D.

Total inventory cost of EOQ policy = annual ordering cost + annual holding cost

TIC(eoq) = (A/Q * S) + (Q/2*H) = (18000/1155*40) +(1155/2*1.08)

TIC (eoq) = $1247

TIC (current) = (6*40) + (3000/1500*1.08)

TIC (current) = $1860

Difference in cost = 1860-1247 = $613

Ans: about $613

E.

Reorder point = lead Time x daily demand

Assume 30 days per month, daily demand = 1500/30 = 50 units

Reorder point = 5 days * 50 units/day = 250 units

Ans: 250

F.  

No. Of orders for EOQ policy = A/Q = 18000/1155 = 15.54 orders

Thus,EOQ policy requires frequent ordering as compared to current policy.

Ans: true

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