Respuesta :
Answer:
(1) 2,28 units
(ii) 1,414 units
(iii) Minimum stock is less than EOQ.
Explanation:
(1) Units Ordered each time
[tex]Economic\ order\ Quantity=\sqrt{\frac{2\times A\times O}{C} }[/tex]
where,
A = Annual Requirement =40,000 Units
O = Ordering Cost = $200 Per unit
Minimum Stock for lead time:
= (40,000 Units × 10) ÷ 365
= 1096 (Approximately)
C=Annual Carrying cost per unit = $40 × 10% × 1/2
= 2
[tex]Economic\ order\ Quantity=\sqrt{\frac{2\times 40,000\times 200}{2} }[/tex]
= 2828 Units
(2) Average Inventory = EOQ ÷ 2
= 2828 Units ÷ 2
= 1,414 Units
(3) If the Lead time Increase 10 to 15 days:
Minimum Stock Need to be Maintained:
= Avg Daily Demand × Lead time
= (40,000 Units ÷ 365) × 15
= 1,644 Units
Minimum Stock is Less the EOQ , then Increasing Lead time to 15 Days Does not Have effect on EOQ.
Answer:The answer( 1)Re-order level 600,000 unit,(2) Average stock 21,000 unit, (3) it will reduce the EOQ because, it will delay the time when the goods should be available for use.
Explanation:
Demand = 40,000 unit per annum
Ordering cost = $200 per order
Carrying cost = 10% × $40 = 10/100 × 40 = $4
EOQ = √2DCO /CC
Where CO = ordering cost per order
D = Demand per annum
CC = carrying cost per item per annum
EOQ = √2 × 40,000 × 200/4
= √16,000,000/4
= √4,000,000
= 2,000 unit
(1) Re- order level = Maximum usage × Maximum lead time
= 40,000 × 15
= 600,000 unit
(2) Averagestock = Maximum stock level + Minimum stock level / 2
= 40,000 + 2000/2
= 42,000/2
= 21,000
(3) The EOQ will be reduced because, it will delay the time when the goods should be available for use.