Answer with its Explanation:
<u>Part A.</u> Economic order quantity Computation
Economic order quantity can be calculated by using the following formula:
EOQ = Squaroot of (2* D * S / H)
Here
Ordering cost per order is $425 which is S
Annual Holding cost per unit per year is $4.5 which is H
Annual Demand is 25000 Units
By putting values, we have:
EOQ = (2 * 25000 * $425 / $4.5) ^(1 / 2) = 2173 Hats
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<u>Part B.</u>
Total Cost at EOQ = Purchasing Cost + Total Ordering cost + Holding Cost
By putting values, we have:
Total Cost = 25,000 Units * $25 per unit + ($25,000 / 2173 Hats) * $425 + (2173 Hats / 2) * $4.5 = $634,778 Annual Cost
<u>Part C.</u>
For ordering at-least 2000 units per order, the total cost would be:
Total Cost under 2000 order quantity = 25,000 * $25 per unit + (25000/2000) * $425 + (2000/2) * $4.5
Total Cost under 2000 order quantity = $634,813
By ordering at least 2000 hats will bring a loss of $35 ($634,778 - $634,813), hence Master Hatter must only order in EOQ.
