Question

A Restaurant is open only for 25 days in a month.

Expenses for the restaurant include raw material for each sandwich at $5.00 per slice, $1,209.00 as monthly rental and $210.00 monthly as insurance. They consider the cost of lost sales as $6.00 per item. They are able to sell any leftover sandwiches for $3. They prepares 200.00 sandwiches and sells them at a rate of $13.00/sandwich.
Today there was a party at nearby office so the demand for sandwiches rose to 227.00. How much profit did the restaurant earn today?

Answer 1

Solution:

As per the information given in the question we have

No. of sandwiches prepared per day = 200

Sale price per sandwich = $ 13.00

Thus total sales per day = 200 * $ 13 = $ 2,600

Raw material cost per sandwich = $ 5

Thus total raw material cost per day = 200 * $ 5 = $ 1,000

As per the Information given in the question we have

Demand for sandwiches = 227 ; Sandwiches actually prepared = 200   ;

Cost of lost sales = $ 6

Hence cost of Lost sales per day = ( Demand for sandwiches – Sandwiches actually prepared ) * Cost of lost sales

= ( 227 – 200 ) * $ 6

= 27 * $ 6

= $ 162

Thus cost of lost sales per day = $ 162

As per the Information given in the question we have

Monthly rental = $ 1,209   ; Monthly Insurance = $ 210

No. days the restaurant is open in a month = 25

Thus total Fixed cost per month = Monthly rental + Monthly Insurance

= $ 1,209 + $ 210 = $ 1,419

Fixed cost per day = Total Fixed cost per month / No. days the restaurant is open in a month

= $ 1,419 / 25 = $ 56.76

Thus we have

Total Sales per day = $ 2,600   ;    Raw material cost per day = $ 1,000   ;

Cost of lost sales per day = $ 162 ; Fixed cost per day = $ 56.76

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.

= $ 2,600 - $ 1,000 - $ 162 - $ 56.76

= $ 1,381.24

Thus the profit earned by the restaurant today = $ 1,381.24

= $ 1,381 (when rounded off to the nearest dollar)