Part 1:
Macello’s
Restaurant, is a buffet restaurant that focuses on Italian food. They charge
$120 for a plate and you can eat as much as you want of the finest Italian food
by the canals of Venice. Many celebrities have eaten there, from Brad Pitt and
Angelina Jolie to Award winning Leonardo DiCaprio. They have reconstructed
their restaurant building to be stronger than most of the Venice building so
celebrities can land on top of the building in their helicopters. It was
reviewed five stars by George Clooney during his weekend wedding back on
September, 2014.
Part 2:
·
Total
fixed costs: $940,000
·
Building
cost rent (annually): $700,000
·
Equipment(annually):
$90,000
·
Supplies(annually):
$100,000
·
Utilities
(annually)(water, heat, electricity): $50,000
·
Variable
cost: cost of producing one more plate is $30.
·
R(q)=
120q
·
Cost
function: C(q)= 940,000 + 30q
·
Profit
function: P(q) = (120q) – (940,000 + 30q)
·
Break-even:
q=10,444.44
·
To
make a profit in Macello’s restaurant, they need to sell more than 10,444.44
plates to start making positive profits.
·
Before
(10444.44, 1253333.3) Macello’s Restaurant is making negative profits and after
that point it starts making profits.
Part 3:
- Macello’s Restaurant produces an average of 70 plates daily, q=70.
·
Marginal
Cost= C’(q)
C(q)= 940,000 + 30q
C’(q)=
30
·
Average
cost: A(q)= C(q)/q
A(q)= 940,000 + 30(70) / 70
=
942100 / 70
A(q)
= 13458.57 dollars
Questions:
·
Is the marginal revenue less than or greater than the marginal cost
at q = n? Explain.
The marginal revenue is
greater than marginal cost because at q= 70 plates the restaurant is positive.
·
Is the number of units sold daily (q =n) after or before the
break-even point? What does this mean?
After the break-even point
meaning that if the restaurant sells 70 plates daily, it will have positive
profits.
·
If production is increased by one extra quantity per day (i.e. if q
= n + 1)) will the company continue to make money? Explain. (be sure to
reference the formulas R(q + 1) – R(q) and C(q + 1) – C(q) in your explanation)
By doing the formula I
figured out that my marginal revenue is $120 and my marginal cost is $30. This
means that my profit will be $90 dollars.
·
At q = n, does an increase of production increase or decrease the
average cost for the company? An increase of
production decreases my average cost from $13458.57 to $13269.213
·
Explain whether increasing or decreasing average costs would be
better for the company.
Decreasing average cost
would be better for the company because the owner can make more profit.
Part
4
1. My company will do even better during the next five years because
more celebrities will come and tourist will want to dine at Macello's restaurant to
know what the buzz is about. This will cause more plates to be produced every day,
making the average cost lower.
2. Macello's will thrive within the next five years because its popularity is going to make the average cost go down with time, making more profit for the restaurant and eventually adding more stuff to the menu and expanding by buying the next door building. After it gains a little more recognition I plan to expand the menu and raise the price to $200 per plate, it's going to be risky, but real entrepreneur risk to expand.
good work jean! very organised work and clear graphs.
ReplyDeleteGood work Jean! I wonder, however, what type of electricity and water are you purchasing because 50,000 per month seems like high quality nutritious water!
ReplyDeleteWell Carlos, if you didn't lack of culture, maybe you would know that Venice is a very luxurious place and the supply and demand of real estate is very high, making utilities high as well!
ReplyDeleteDear Jean,although my remark has nothing to do with culture, I would like to show you what I was talking about, as clearly exhibited on the website http://www.numbeo.com/cost-of-living/city_result.jsp?country=Italy&city=Venice , the cost is clearly not as painstakingly expensive as you say it is.
ReplyDeleteHi Carlos, I don't like to argue a lot, but your comments have been more of an insult than helpful. I clearly emphasize that my restaurant targets high social class and celebrities. To have a helicopter landing in Venice and the whole building renovated took a lot of capital and to maintain it takes capital too. If you cant afford to eat next to DiCaprio or "Brangelina" then go to McDonald or othertotem food replication.
ReplyDeletehaha!
Deletejean,
ReplyDeletei like your restaurant idea. do the jolie-pitt babies eat there, too? i hope you have a nice children's menu. =] i actually like the idea of the helicopter landing pad, then celebrities don't always have to go through the front door. they can sneak in and out undetected by the paparazzi!
your post is well organized, and your graphs and formulas and calculations are well done and accurate. i think you forgot some units on some calculations and on your graph with the slopes of average cost and marginal cost, your marginal cost slope should have a slope of 30 not zero. all in all good job!
professor little