Question

An aircraft company uses rivets at an approximate demand rate of 2,500 kg per year. Each...

An aircraft company uses rivets at an approximate demand rate of 2,500 kg per year. Each unit costs $ 30 per kg and the company personnel estimate that it costs $130 to place an order and that the carrying cost of inventory is 10 % per year. How frequently should orders for rivets be placed? Determine the optimum size of each order?

Find EOQ, Order frequency T, Number of orders N and TC

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Answer #1

Data: λ(D) = 2,500 Kg. per year

C3 = Rs. 130/-

i = 10%

H = i * c = 30 * 10% = 3

p = Rs. 30/- per unit. (C1 = i × p = 0.10 × 30 = Rs. 3/-)

qo = / ip

qo = / 0.10 × 30 = App. 466 units.

to = qo = / = 466 / 2500 = 0.18 year = 0.18 × 12 = 2.16 month.

N = Number of orders = / qo = 2500 / 466 = 5 orders per year.

EOQ = sqrt(2DS/H)

= sqrt(2*2500*130/3)

= sqrt(216666.67)

= 465.47 units

Order Frequency = R / EOQ

= 2500 / 465.47

= 5.37 orders

Numer Orders is same as order frequency.

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