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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:

Francoise
2 months ago
So, the controller wants to know the optimal safety stock level for air purifiers, huh? I guess they're trying to keep the air in those stores as clean as the books. Maybe they should consider adding a few extra units just in case the accountants get a little too... purified.
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Stephen
2 months ago
Hmm, let's see. Carrying cost, stockout cost, probability of a stockout... Sounds like a recipe for a perfectly balanced financial statement. And if the inventory manager has their way, we'll be seeing a lot of purified air in those stores!
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Sylvie
20 days ago
C) $2,000
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Shawna
21 days ago
B) $1,950
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Toshia
2 months ago
A) $1,750
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Anisha
2 months ago
Okay, time to put on my best accountant hat. The carrying cost is easy, $1,000. The stockout cost is a bit trickier, but with a probability of 0.001 and a cost of $5 per unit, that's $0.05 per unit. Add those together and... voila, $1,000.05! Wait, is that the right answer? *scratches head*
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Karrie
2 months ago
Let's see, the carrying cost is 20% of $50 per unit, so $10 per unit. With 100 units, that's $1,000. The expected stockout cost is $5 per unit times the probability of 0.001, which is $0.05 per unit. With 100 units, that's $5. The total cost is $1,000 + $5 = $1,005. Aha, I got it!
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Lashawn
1 months ago
Nice work! The total cost with 100 units of safety stock is $1,005.
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Lovetta
2 months ago
So, the total cost is $1,005. Great job on the calculation!
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Orville
2 months ago
That's correct! The total cost with a safety stock level of 100 units is $1,005.
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Shawna
3 months 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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Tess
22 days ago
D) $650
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Mitzie
24 days ago
C) $2,000
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Genevive
25 days ago
B) $1,950
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Kara
26 days ago
A) $1,750
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Sheron
27 days ago
D) $650
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Charisse
1 months ago
C) $2,000
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Vallie
1 months ago
B) $1,950
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Gladis
2 months ago
A) $1,750
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Glendora
3 months 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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James
2 months ago
User 2
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Marla
3 months ago
User 1
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Ceola
3 months 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
4 months ago
I agree with Xuan. The total cost calculation makes sense with that option.
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Xuan
4 months ago
I think the answer is A) $1,750.
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