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Thelazysandwich
03.11.2019 •
Mathematics
Me with this word !
carlita plans to establish a second restaurant, open five days a week, 50 weeks a year. here are her costs:
• rent: $7,200/month
• the average customer pays $45.47
• carlita’s average food cost per customer: $20.18
• insurance: $4,200/year
• carlita hires 2 servers for 8 hours/day and a part-time for 4 hours/day.
she pays $15 per hour and pays employer social security tax (6.2% of gross pay) and medicare tax (1.45% of gross pay).
how many customers would carlita need to serve each year for the restaurant to break even? round to the nearest whole number.
hint: “break even” means sales and expenses are equal and the owner neither makes nor loses money.
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Ответ:
The number of customers needed to break even is
Step-by-step explanation:
Rent per month = $ 7200
Rent per year, $![7200 \times 12](/tpl/images/0358/1514/eebd2.png)
= $ 86400 -------------(1)
Insurance per year = $ 4200 ---------(2)
Total direct cost for 2 servers (withoout tax) per year,
= $![2 \times 15 \times 8 \times 5 \times 50](/tpl/images/0358/1514/249d6.png)
= $ 60000
Total cost for helper ( without tax) per year,
= $![4 \times 15 \times 5 \times \50](/tpl/images/0358/1514/0f2eb.png)
= $ 15000
Total cost for employees per year (without tax),
= $ (60000 +15000) = $ 75000
Total cost per year for employees including tax,
$![\frac {(75000 \times (100 + 6.2 + 1.45)}{100}](/tpl/images/0358/1514/fe9ba.png)
= $![\frac {(75000 \times 107.65 }{100}](/tpl/images/0358/1514/1e1e9.png)
= $ 80737.5 -----------------------(3)
So,
total cost for running the restaurant (except food)
= (1) + (2) + (3) = $![(86400 + 4200 + 80737.5)](/tpl/images/0358/1514/c2667.png)
= $ 171337.5
Average total profit per customer,
= ( Average per customer payment - average cost of food per customer)
= $ (45.47 - 20.18)
= $ 25.29
So, total number of customer needed to break even,
=![\frac {171337.5}{25.29}](/tpl/images/0358/1514/2ba80.png)
\simeq 6775
Ответ: