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Sonbull
3 months ago
10

The General Chemical Company uses 150,000 gallons of hydrochloric acid per month. The cost of carrying the chemical in inventory

is 50 cents per gallon per year, and the cost of ordering the chemical is $150 per order. The firm uses the chemical at a constant rate throughout the year. The chemical's economic order quantity is
A) 32,863 gallons.
B) 11,619 gallons.
C) 9,487 gallons.
D) 1,900 gallons.
Business
1 answer:
arsen [3.4K]3 months ago
8 0

Answer:

The reorder quantity (EOQ) calculates to 32,863 gallons.

Therefore, option (a) is the correct choice.

Explanation:

The company consumes 150,000 gallons of hydrochloric acid monthly.

Ordering expenses amount to $150 per order.

Holding cost is $0.50 per gallon annually.

Since one year has 12 months, annual demand equals 12 × 150,000 = 1,800,000 gallons.

The economic order quantity (EOQ) formula is given by:

EOQ=\frac{2\times annual\ demand\ \times ordering\ cost}{holding\ cost}=\frac{2\times 1800000\times 150}{0.5}=32863.35=3286gallons

This calculation confirms option (a) as the accurate answer.

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