Question

UMUC bank has a local subsidiary, which requires $75,000 cash every month. It uses $safe armored...

UMUC bank has a local subsidiary, which requires $75,000 cash every month. It uses $safe armored trucks service for cash delivery. Service company charges $500 for each delivery.
In order to send cash to its subsidiary, the bank has to liquidate part of its securities portfolio which generates 15% annual return.
How many armored truck service trips PER YEAR should the bank order?
(Hint: The annual rate of return in this question is given as 12 * actual monthly rate of return. You can round off to the nearest whole number,
for example if your answer is 17.62, you can answer 18.)
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Answer #1

The economic order quantity is calculated as follows

EOQ = 2 x Annual demand x Ordering cost carrying cost

EOQ = 2 x 12 x 75000 x 500 0.15

Economic order quantity = $ 77,460

Thus the local subsidiary should order $ 77,460 each time.

Annual demand Service trips per year = Economic order quantity 75000 x 12 77460

Armored truck service trips per year \approx 12

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