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the annual demand of car is 15000, the tire they pay 10 per tire with carrying c

ID: 345918 • Letter: T

Question

the annual demand of car is 15000, the tire they pay 10 per tire with carrying cost of 20% of the tire cost. Each order cost 30 to process. Each 1st day of month place order and same quantity for month. Calculate current ordering cost, carrying cost, total inventory cost/year, EOQ the annual demand of car is 15000, the tire they pay 10 per tire with carrying cost of 20% of the tire cost. Each order cost 30 to process. Each 1st day of month place order and same quantity for month. Calculate current ordering cost, carrying cost, total inventory cost/year, EOQ

Explanation / Answer

Annual demand for cars is 15000.For 1 car the demand for tires = 4.so for 15000 cars the demand for tires = 15000x4 = 60000 tires

Annual demand (D) = 60000 tires

Ordering cost (S) = $30

Carrying cost (H) = 20% of cost = 20% of $10 = $2

Economic order quantity (Q) = sqrt of (2DS / H)

= sqrt of [(2 x 60000 x 30)/2]

= sqrt of 1800000

= 1341.64 or rounded to 1342 tires

Annual Ordering cost = (D/Q) S = (60000/1342)30 = $1341.28

Annual carrying cost = (Q/2)H = (1342/2)2 = $1342

Total inventory cost = Ordering cost + carrying cost

= $1341.28 + $1342

= $2683.28