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A fuel oil distributor is planning to invest in a new terminal facility. The cos

ID: 1196208 • Letter: A

Question

A fuel oil distributor is planning to invest in a new terminal facility.   The costs are provided below.

Initial costs:

Buildings and equipment

$1,500,000

Trucks

150,000

Annual costs:

Maintenance

145,000

Labor

500,000

Oil processing costs $0.30 per gallon.   The life of the building and equipment is 20 years.   The life of the trucks is 10 years.   A MARR of 12% is desired.   Oil can be sold for $0.75 per gallon.

(a)        Breakeven:      How many gallons of oil must be sold to breakeven?

(b)      Sensitivity:       If annual costs (maintenance, labor, processing) increase by 10%, what must the new price (up from $0.75) be if the number of gallons sold does not change?

Initial costs:

Buildings and equipment

$1,500,000

Trucks

150,000

Annual costs:

Maintenance

145,000

Labor

500,000

Explanation / Answer

a.

Total Fixed Cost = 1500000+150000+145000+500000 = $2295000

Contribution margin = price per gallon – processing cost per gallon = .75 - .3

Contribution margin = $.45

Thus,

Break Even Point in units = 2295000 / contribution margin = 2295000/.45

Break Even Point in units = 5100000 Gallons

b.

in a new scenario, maintenance, labor, processing cost increase by 10%.

New total fixed cost = 1500000+150000+ (145000+500000)*1.10

New total fixed cost = $2359500

If breakeven point in units does not change then

5100000 = 2359500/ Contribution margin

Contribution margin = 2359500/5100000 = .4626

New Price = Contribution margin + processing cost = .4626+.3*1.1

New Price =$ .7926 or $.8 per gallon

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