In 2014 I decided to open up my own company that solely makes pancakes. The sole purpose of the this business to create the most delicious, scrumptious pancakes that DC has ever seen. The pancakes will come with a wide variety of fillings and toppings and will be served from breakfast to dinner. We target our market for people who have a love for pancakes at any time of the day.
Part 2:
Fixed Cost
ITEM
|
Monthly Cost
|
Rent
|
$2500
|
Utilities
|
$720
|
Payroll
|
$4000
|
Business License/Government Fees
|
$50
|
|
$7,270
|
Variable Pancake Cost:
$5 per pancake
Price For One Unit:
$10
Cost Function:
C(q) = 7,270 + 5q
Revenue Function:
R(q) = 10q
Profit Function:
P(q) = 10q - 7,270 + 5q
Break Even Point:
10q = 7,270 + 5q
5q = 7270
q= 1,454 pancakes
Interpretation: This graph shows
the “break even” point. This point represents the amount of pancakes that need
to be sold in order to make a profit. If less than 1,454 pancakes are sold
there will be a deficit because the cost function will be greater than the
revenue function.
The slope of the revenue function
represents the amount of money needed to produce a set of pancakes, while the slope
of the revenue function represents the amount of money made from selling a set
of pancakes.
The
break-even point on the profit function is the negative break-even point of the
cost/revenue function (-7,270). This graph represents the total profit of the
company.
Part 3
Q=100
The Marginal cost of producing n=100 pancakes is C’(q)= $5
The average cost of producing n=100 would be 17770/30 (days
in a month) then 592.3/100 which is $5.92 per pancake unit.
1.
The marginal revenue of $10 is greater than the
average cost per unit of $5.92, which means that this business is making a
profit.
2.
100 * 30 = 3000 pancakes per month. This is
greater than the breaking point of 1,454 pancakes.
3.
Yes the business will still be making a profit
R(101)-R(100) = 10 and C(101)-C(100) = 5 so they will still make a profit of $5
if adding a additional unit.
4.
The average cost will decrease if more
additional units were added because it will become more spread out.
5.
If you decrease the average cost, then the
business will benefit from it because they have a greater profit.
Part 4:
At the rate that the company is going, Jack’s Flapjack shop
should continue to make a profit over the next 5 years. Although there can be a
fluctuation either for the better or the worse in the cost, revenue, and profit
functions, the profit made by selling the pancakes should continue to remain positive.
Great Job Jack. The calculations are all correct and I like the company you created. Pancakes are the best.
ReplyDeleteYes Jack, like Jackson, I agree that the company you created is quite cool. Your calculations also appear to be correct. Huzzah!
ReplyDeletejack,
ReplyDeletethis business idea reminds me of an awesome restaurant in philly called sabrinas! yummy! most of your calculations look correct and your graphs look good. a couple things is that your graph of the slope of the average cost is missing and also, your profit function should either look like this P(q) = 10q - (7,270 + 5q) or like this P(q) = 10q - 7,270 - 5q. other than that, great post! i really like the name of the company!
professor little