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AICPA Exam CPA-Business Topic 1 Question 64 Discussion

Actual exam question for AICPA's CPA-Business exam
Question #: 64
Topic #: 1
[All CPA-Business Questions]

Handyman Inc. operates a chain of hardware stores across New England. The controller wants to determine the optimum safety stock levels for an air purifier unit. The inventory manager has compiled the following data.

* The annual carrying cost of inventory approximates 20 percent of the investment in inventory.

* The inventory investment per unit averages $50.

* The stockout cost is estimated to be $5 per unit.

* The company orders inventory on the average of ten times per year.

* Total cost = carrying cost + expected stockout cost.

* The probabilities of a stockout per order cycle with varying levels of safety stock are as follows.

The total cost of safety stock on an annual basis with a safety stock level of 100 units is:

Show Suggested Answer Hide Answer
Suggested Answer: A

Choice 'a' is correct. 7.0 percent cost of funds from retained earnings.

The cost of retained earnings is equal to the rate of return required by the firm's common shareholders (or, in effect, the return 'lost' by them when the firm chooses to fund with retained earnings). While oftentimes this rate is somewhat subjective, we are given the facts to exactly answer the question in this case. The stock is currently selling for $100/share, and the dividend is given at $7/share.

$7 / $100 = 7%

Choices 'b', 'c', and 'd' are incorrect, per the above Explanation:/calculation.


Contribute your Thoughts:

Shawna
3 days ago
Hmm, I think the key here is the probability of a stockout. With 100 units of safety stock, the probability is 0.1%. So the expected stockout cost is $5 x 0.001 = $0.05. Add that to the carrying cost of $1,000, and the total cost is $1,000 + $0.05 = $1,000.05. Not quite right, but closer.
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Glendora
12 days ago
Okay, let's break this down. The carrying cost per unit is 20% of $50, which is $10. With a safety stock of 100 units, the carrying cost is $10 x 100 = $1,000. The expected stockout cost is 0.001 x $5 = $0.05 per unit, with 100 units that's $0.05 x 100 = $5. The total cost is $1,000 + $5 = $1,005. Definitely not the correct answer.
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Ceola
15 days ago
I'm not sure, but I think it might be C) $2,000. The safety stock level of 100 units seems significant.
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Reuben
24 days ago
I agree with Xuan. The total cost calculation makes sense with that option.
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Xuan
25 days ago
I think the answer is A) $1,750.
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