Respuesta :
Answer:
51.2 million
Explanation:
The computation of the annual demand is shown below:
As we know that the total annual setup cost and the carrying cost would be equivalent to EOQ
Since the total annual setup cost & carrying cost is $32,000
So, for each it would be $16,000
Now
Total number of orders is
= $16000 ÷ $200
= 80 orders
And, Total inventory carrying cost = 0.05 × (EOQ ÷ 2)
$16000 = 0.05 × EOQ ÷ 2
$32000 ÷ 0.05 = EOQ
EOQ = 640000 units
Now
Total demand = 640000 × 80
= 51200000
= 51.2 million
The annual demand for the K2 microprocessors is 51.2 million.
The total annual setup and carrying costs are $32,000, therefore, the value of each will be:
= $32000/2
= $16000.
The total number of orders will be:
= 16000/200 = 80 orders
The economic order quantity will be:
16000 = 0.05 × (EOQ/2)
EOQ = 32000/0.05
EOQ = 640000
The total demand will be:
= 640000 × 80 = 51.2 million
In conclusion, the annual demand of the K2 microprocessors is 51.2 million.
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