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order for the auto parts shop is $80; the holding cost of carrying 1 unit is $1.2 per year. The shop has 360 working days per year. The lead time is usually 12 working days. Determine the total carrying cost.

2 Answers

5 votes

Question:

The question is incomplete. See the complete question and the answer below:

An auto parts shop carries an oil filter for trucks. The annual demand for the oil filter is roughly 1200 units. The ordering cost per order for the auto parts shop is $80; the holding cost of carrying 1 unit is $1.2 per year. The shop has 360 working days per year The lead time is usually 12 working days.

Determine the total carrying cost.

Answer:

Total carrying cost =$240

Step-by-step explanation:

Given Data;

Annual demand (D) = 1200

Ordering cost (w) = $80

Per unit cost (cn) = $1.2

calculating the economic order quantity (EOQ) using the formula;

EOQ = √[(2Dw)/cn]

Where D = annual demand

w = ordering cost

cn = per unit cost

Substituting into the formula, we have

EOQ = √[(2*1200*80)/1.2]

EOQ = √(192,000/1.2)

= √160000

= 400 units

Number of orders = 1200/400

= 3 orders

Therefore,

Total carrying cost = number of order * ordering cost

= 3 * $80

= $240

User Brian Buck
by
3.9k points
5 votes

Answer:

Total carrying cost is $240.

Step-by-step explanation:

EOQ=√(2*D*Co)/Cn

EOQ= 400 units

Annual carrying cost= (EOQ/2)*Cn

=(400/2)*1.20

=$240

User Rik Schoonbeek
by
4.2k points