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b) Joe Henry\'s machine shop uses 2,500 brackets during .1se of a year. These br

ID: 353448 • Letter: B

Question

b) Joe Henry's machine shop uses 2,500 brackets during .1se of a year. These brackets are purchased from a supplier 90 12.15 the co S? d) The following information is known about the brackets: d ink 40% per ply. Annual demand: Holding cost per bracket per year: Order cost per order: Lead time: Working days per year: 2,500 $1.50 18.75 2 days 250 ur y? a) Given the above information, what would be the economic order quantity (EOQ)? b) Given the EOQ, what would be the average inventory? What would be the annual inventory holding cost?

Explanation / Answer

Annual Demand D = 2500

Holding cost H = 1.5 $/bracket

Ordering cost S = 18.75 $

Lead Time L = 2 days

Number of working days per year = 250

a) EOQ = SQRT(2*D*S/H) = SQRT(2*2500*18.75/1.5) = 250 brackets

b) Average inventory = Q/2 = 250/2 = 125 brackets

c) Number of orders per year = D/Q = 2500/250 = 10 orders

Annual ordering cost = Number of orders*Ordering cost = 10*18.75 = 187.5 $

d) EOQ (Annual holding cost) = (Q/2)*H = 125*1.5 = 187.5 $

e) Time between orders = Number of working days/Number of orders = 250/10 = 25 days

f) Reorder Point (ROP) = d*L = (2500/250)*2 = 20 brackets