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A contractor maintains an inventory of electrical conduit with an average value of $45,000. If the annual carrying cost rate is 18% and the inventory turns over 6 times per year, what is the annual carrying cost?

Correct Answer

B) $8,100

Annual carrying cost = Average inventory value × Carrying cost rate = $45,000 × 18% = $8,100. Inventory turnover affects how long materials are held but doesn't directly change the carrying cost calculation.

Answer Options
A
$6,750
B
$8,100
C
$7,500
D
$9,000

Why This Is the Correct Answer

The annual carrying cost is calculated by multiplying the average inventory value by the carrying cost rate. This gives us $45,000 × 18% = $8,100. The inventory turnover rate of 6 times per year is additional information that doesn't affect this basic carrying cost calculation. Carrying costs are typically expressed as a percentage of the average inventory value held throughout the year.

Why the Other Options Are Wrong

Option A: $6,750

$6,750 would result from incorrectly using 15% instead of 18% as the carrying cost rate ($45,000 × 15% = $6,750)

Option C: $7,500

$7,500 would result from incorrectly using 16.67% instead of 18% as the carrying cost rate, possibly from confusion with the inventory turnover calculation

Option D: $9,000

$9,000 would result from incorrectly using 20% instead of 18% as the carrying cost rate ($45,000 × 20% = $9,000)

Memory Technique

Remember 'AIC' - Average Inventory × Carrying rate = annual carrying Cost. The turnover is a red herring that doesn't affect the basic carrying cost formula.

Reference Hint

Look up inventory management and carrying costs in construction business management chapters, typically found in project management or business operations sections

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