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Sagot :
Answer: See explanation
Explanation:
The following can be deduced from the question:
Purchase price = $15,
Ordering cost = $60
Carrying cost = 20 % × $15 = $3
(a) The EOQ (economic order quantity) goes thus:
= ✓(2 × Annual demand × ordering cost / carrying cost )
= ✓(2 × 100000 × 60 / 3)
= ✓(12000000 / 3)
= ✓(4000000)
EOQ = 2000 calculators
b. The inventory cost when PC orders are at the EOQ amount goes thus:
Note that:
Inventory cost = Cost of purchase + Ordering cost + Carrying cost
Cost of purchase = $2000 × $15 = $30000
Ordering cost = 100000 / 2000 × 60 = $3000
Carrying cost = 20% × purchase price = 20% × $30000 = $6000
Then, the total cost will be:
= $30000 + $3000 + $6000
= $39000
b. Inventory cost at 1000 calculators will be:
Purchase cost = $1000 × $15 = $15000
Ordering Cost = Annual demand / Ordering quantity × cost of placing the order
= 100000 / 1000 × 60
= $6000
Carrying cost = 20% × $15000 = $3000
Then, the total inventory cost will be:
= $15000 + $6000 + $3000
= $24000
(iii) Inventory cost at 2500 calculators will be:
Purchase cost = 2500 × purchase price = $2500 × $15
= $37500
Ordering Cost of order = 100000 / 2500 × 60
= $2400
Carrying cost = 20% × $37500 = $7500
Total inventory cost:
= $37500 + $2400 + $7500
= $47400
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