Question

You run a school in Florida. Fixed monthly cost is $5,435.00 for rent and utilities, $6,171.00 is spent in salaries and $1,545.00 in insurance. Also every student adds up to $91.00 per month in stationary, food etc. You charge $734.00 per month from every student now. You are considering moving the school to another neighborhood where the rent and utilities will increase to $11,679.00, salaries to $6,974.00 and insurance to $2,408.00 per month. Variable cost per student will increase up to $158.00 per month. However you can charge $1,054.00 per student. At what point will you be indifferent between your current mode of operation and the new option?

Answer 1

31

Step-by-step explanation:

The calculation of indifferent between your current mode of operation and the new option is shown below:-

Current Operation

Contribution Margin = Monthly Fees - Variable Cost

= $734.00 - $91.00

= $643.00

Total Fixed Cost = Rent and Utilities + Salaries + Insurance

= $5,435.00 + $6,171.00 + $1,545.00

= $13,151.00

New Operation

Contribution Margin = Monthly Fees - Variable Cost

= $1,054.00 - $158.00

= $896.00

Total Fixed Cost = Rent and Utilities + Salaries + Insurance

= $11,679.00 + $6,974.00 + $2,408.00

= $21,061.00

Here we will assume the indifferent number of students will be X

So,

Income under current option = Income under new option

$643.00 × X - $13,151.00 = $896.00 × X - $21,061.00

$253X = $7,910

X = $7,910 ÷ $253

= 31.26

or

= 31