Answer:
The number of customers needed to break even is
![\simeq 6775.](https://tex.z-dn.net/?f=%5Csimeq%206775.)
Step-by-step explanation:
Rent per month = $ 7200
Rent per year, $ ![7200 \times 12](https://tex.z-dn.net/?f=7200%20%5Ctimes%2012%20)
= $ 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](https://tex.z-dn.net/?f=%202%20%5Ctimes%2015%20%5Ctimes%208%20%5Ctimes%205%20%5Ctimes%2050%20)
= $ 60000
Total cost for helper ( without tax) per year,
= $ ![4 \times 15 \times 5 \times \50](https://tex.z-dn.net/?f=%204%20%5Ctimes%2015%20%5Ctimes%205%20%5Ctimes%20%5C50%20)
= $ 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}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%2875000%20%5Ctimes%20%28100%20%2B%206.2%20%2B%201.45%29%7D%7B100%7D)
= $ ![\frac {(75000 \times 107.65 }{100}](https://tex.z-dn.net/?f=%5Cfrac%20%7B%2875000%20%5Ctimes%20107.65%20%7D%7B100%7D)
= $ 80737.5 -----------------------(3)
So,
total cost for running the restaurant (except food)
= (1) + (2) + (3) = $ ![(86400 + 4200 + 80737.5)](https://tex.z-dn.net/?f=%2886400%20%2B%204200%20%2B%2080737.5%29)
= $ 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}](https://tex.z-dn.net/?f=%20%5Cfrac%20%7B171337.5%7D%7B25.29%7D%20)
\simeq 6775
Answer:
(-6,4)
Step-by-step explanation:
If this is the system of equations here is how:
solve for 1 vairuble in the first equation, and plug that it to the other.
Neither one of the slopes are going to be minus. It means you are travelling backwards in time, which is wonderful if you are a sci-fi fan, but not so good if you are Sharon. A and D has Sharon going from 70 to 0. That can't be happening so both are wrong.
Now you have to decide between B and C. The intersection point has Sharon going upwards until she is 20. She started out at 70. The graph has John starting at 70. That's not right.
So we've eliminated A,D and now C.
The answer must be B. They meet when Sharon is 90 and John is about 22.5 which is what it should be.