In: Finance
Question 5:
You run a school in Florida. Fixed monthly cost is $5,041.00 for rent and utilities, $6,181.00 is spent in salaries and $1,561.00 in insurance. Also every student adds up to $92.00 per month in stationary, food etc. You charge $692.00 per month from every student now.
You are considering moving the school to another neighborhood where the rent and utilities will increase to $10,886.00, salaries to $6,885.00 and insurance to $2,162.00 per month. Variable cost per student will increase up to $167.00 per month. However you can charge $1,061.00 per student. At what point will you be indifferent between your current mode of operation and the new option?
Question 8:
You run a nail salon. Fixed monthly cost is $5,325.00 for rent and utilities, $6,233.00 is spent in salaries and $1,559.00 in insurance. Also every customer requires approximately $5.00 in supplies. You charge $62.00 on average for each service.
You are considering moving the salon to an upscale neighborhood where the rent and utilities will increase to $10,789.00, salaries to $6,154.00 and insurance to $2,413.00 per month. Cost of supplies will increase to $7.00 per service. However you can now charge $143.00 per service. At what point will you be indifferent between your current location and the new loaction?
Question 9:
A Restaurant is open only for 25 days in a month.
Expenses for the restaurant include raw material for each
sandwich at $6.00 per slice, $1,219.00 as monthly rental and
$420.00 monthly as insurance. They consider the cost of lost sales
as $4.00 per item. They are able to sell any leftover sandwiches
for $3. They prepares 200.00 sandwiches and sells them at a rate of
$14.00/sandwich.
Today there was a party at nearby office so the demand for
sandwiches rose to 224.00. How much profit did the restaurant earn
today?
Answer to Q 5:
First Calculate changes in contribution and changes in fixed cost due to change in location. Calculation is as follow:
Changes in Contribution | ||
Current Situation | Proposed | |
Sales per student | 692 | 1061 |
Variable cost per student | 92 | 167 |
Contribution per Student | 600 | 894 |
Changes in Contribution | 294 | i.e. (894-600) |
Changes in Fixed Cost | ||
Current Situation | Proposed | |
Rent | 5041 | 10886 |
Salaries | 6181 | 6885 |
Insurance | 1561 | 2162 |
Total Fixed Cost | 12783 | 19933 |
Changes in Fixed Cost | 7150 | i.e. (19933-12783) |
Calculation of Indifference Point:
Indifference Point = Changes in Fixed Cost / Changes in contribution per student
= 7150/294
= 24.32 i.e. 25 students.
If no. of students increases by 25 in new location, then decision to move the school can be made.
Q 8:
First Calculate changes in contribution and changes in fixed cost due to change in location. Calculation is as follow:
Changes in Contribution | ||
Current Situation | Proposed | |
Sales per service | 62 | 143 |
Supplies per service | 5 | 7 |
Contribution per customer | 57 | 136 |
Changes in Contribution | 79 | i.e. (136-57) |
Changes in Fixed Cost | ||
Current Situation | Proposed | |
Rent | 5325 | 10789 |
Salaries | 6233 | 6154 |
Insurance | 1559 | 2413 |
Total Fixed Cost | 13117 | 19356 |
Changes in Fixed Cost | 6239 | i.e. (19356-13117) |
Indifference Point = Changes in Fixed Cost /
Changes in contribution per student
= 6239/79
= 78.97 i.e. 79 customers
If no. of customers increases by 79 in new location, then decision to move the salon can be made.
Q 9:
Each slice cost $ 6 and no. of slices required to make one sandwich is 2.Therefore per sandwich cost is $ 12.
Calculation of per day Fixed cost | |
Amount | |
Rent | 1219 |
Salaries | 420 |
Total Fixed Cost | 1639 |
Per day cost = Total Fixed Cost / 25 | 65.56 |
Calculation of Contribution per sandwich | |
Sale per sandwich | 14 |
Slice Cost | 12 |
Contribution per Sandwich (a) | 2 |
Total No. of Sandwich (b) | 200 |
Total Contribution (a*b) | 400 |
Profit Earn Today = Total Contribution - ( Per day Fixed Cost) - (cost of lost sales)
= 400 - 65.56 - (24*4)
= 400- 65.56 -96
= $ 238.44