Question

Master Hatter's demand for hats is 25,000 per year. The order cost is $425 and the carrying cost is $4.50 per unit. The cost paid (price) to the hat manufacturer is $75 per hat.
A. Compute the Economic Order Quantity and enter it here.
B. The supplier has indicated that Master Hatter can have a price of $25 per hat if he orders at least 2000 at a time.
C. In order to minimize total costs (inventory plus purchase costs). Master Hatter should order blank hats and will save blank dollars each year.

Answer 1

Answer with its Explanation:

Part A. 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

Part B.

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

Part C.

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.