Question

"Jack owns a local trucking company. With fuel costs being expensive, Jack wants to evaluate how much fuel, on average, he should store in his 6,800 gallon fuel tank. Each year Jack uses 68,000 gallons of diesel (usage is spread evenly throughout the year). Jack knows with certainly that he can have a load of fuel delivered in 5 days. The price of fuel is $2.04 per gallon and there is a separate $50 ordering fee per order. Jack thinks his holding cost per unit is 40%. If Jack orders at EOQ, what will be the average inventory of fuel in his 6,800 gallon tank?"

Answer 1

Answer: 1443.5 gallons

Explanation:

Thw following can be gotten from the question:

Fuel tank capacity = 6800 gallon

Annual demand, A = 68000 gallons

Ordering cost, O= $50

Carrying cost, C = 40% × $2.04 = $0.816

EOQ = ✓2AO/✓C

= ✓(2×68000×50) / ✓0.816

= ✓6800000 / ✓0.816

= 2887

Average inventory = EOQ/2

= 2887/2

= 1443.5 gallons

Therefore, the average inventory will be 1443.5 gallons.