In: Finance
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, $1,004.00 as monthly rental and
$470.00 monthly as insurance. They consider the cost of lost sales
as $5.00 per item. They are able to sell any leftover sandwiches
for $3. They prepares 200.00 sandwiches and sells them at a rate of
$12.00/sandwich.
Today there was a party at nearby office so the demand for
sandwiches rose to 226.00. How much profit did the restaurant earn
today?
Solution:
As per the information given in the question we have
No. of sandwiches prepared per day = 200
Sale price per sandwich = $ 12.00
Thus total sales per day = 200 * $ 12 = $ 2,400
Raw material cost per sandwich = $ 6
Thus total raw material cost per day = 200 * $ 6 = $ 1,200
As per the Information given in the question we have
Demand for sandwiches = 226 ; Sandwiches actually prepared = 200 ;
Cost of lost sales = $ 5
Hence cost of Lost sales per day = ( Demand for sandwiches – Sandwiches actually prepared ) * Cost of lost sales
= ( 226 – 200 ) * $ 5
= 26 * $ 5
= $ 130
Thus cost of lost sales per day = $ 130
As per the Information given in the question we have
Monthly rental = $ 1,004 ; Monthly Insurance = $ 470
No. days the restaurant is open in a month = 25
Thus total Fixed cost per month = Monthly rental + Monthly Insurance
= $ 1,004 + $ 470 = $ 1,474
Fixed cost per day = Total Fixed cost per month / No. days the restaurant is open in a month
= $ 1,474 / 25 = $ 58.96
Thus we have
Total Sales per day = $ 2,400 ; Raw material cost per day = $ 1,200 ;
Cost of lost sales per day = $ 130 ; Fixed cost per day = $ 58.96
Thus the profit made by the restaurant per day is calculated as follows :
Profit = Total Sales per day – Raw material cost per day – cost of lost sales per day – Fixed cost per day.
= $ 2,400 - $ 1,200 - $ 130 - $ 58.96
= $ 1011.04
Thus the profit earned by the restaurant today = $ 1011.04
= $ 1011 (when rounded off to the nearest dollar)