Question

In: Finance

How Many Days of Hire are Needed to Break Even this Year? - Company Operational Fixed...

How Many Days of Hire are Needed to Break Even this Year?

- Company Operational Fixed Cost:

Salaries - $1.2 million

Office/Structure - $600,000

Misc - $700,000

- Debt Fixed Cost (Debt servicing & Insurance Coverage) :

$11,000/day based on one year deb service

- Variable Costs (Food/Gas) :

$1,500 per day

- $22,000 daily rate (market decides that rate)

Solutions

Expert Solution

Days of Hire required to achive Break even = Total Annual Fixed Cost/ Daily Contribution Margin.

Calculation of Total Annual Fixed Cost
salaries $1,200,000
Office expenes $600,000
Misc Expenses $700,000
Debt fixed cost($11000*365) $4,015,000
Total annual fixed cost $6,515,000
Calulation Of daily contribution Margin
Daily Hire rate $22,000
Less-Variable cost $1,500
Contribution margin per day $20,500

Days of Hire required to achive Break even = $6,515,000/$20500 = 317.80 days or 318 days.

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Proof

Income statement at 318 days of hire
Income from Hire($22000*318 days) $6,996,000
Less- Variable cost($1500*318 days) $477,000
Contribution margin $6,519,000
Less- Fixed Costs $6,515,000
Net income $4,000
Income statement at 317 days of hire
Income from Hire($22000*317 days) $6,974,000
Less- Variable cost($1500*317 days) $475,500
Contribution margin $6,498,500
Less- Fixed Costs $6,515,000
Net income(loss) -$16,500

As we can see in case of 318 days of hire there is a nominal profit of $4000.

And in case of 317 days of hire there is a Loss of $16500.

Hence to achive the breakeven point, total days of hire need to be 318 days in a year.


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