Juan Junior Junior’s Coffin Shoppe
After Grandpa Juan’s timely
(as determined in blog post two) death, and Juan Junior Junior’s subsequent
coffin research, Juan Jr. Jr. decided to open a coffin shop. When doing his
research, Juan Jr. Jr. realized that everyone dies eventually, and therefore it
would be very wise to capitalize in this market.
Fixed
costs:
Heating/cooling systemà $1,700
Rent------------------------à $7,000
Supplies-----------------à
$100,000
Internet-----------------à $1,000
Other--------------------à $5,300
TOTAL
FIXED COST: 115,000
Variable
costs--à1,000
Price-------------à 7,000
Revenue
Function:
R(q)=7,000q
Cost
Function
C(q) =1000q+ 115,000
Profit
Function
P(q)= R(q)-C(q)
P(q)=(7,000q)-(1000q+115,000)
Break
Even Point
7,000q=1000q+115,000
6,000q=115,000
q= 19.166
The break even point, or equilibrium, is the point at which revenue
and cost are equal. In this case, after this point is where revenue begins to
exceed cost and therefor is where the company begins to make a profit.
Where P(q) crosses
the x-axis is where the company begins to make a profit. A this graph shows,
when the company sells 19.166 units is where the company begins to even out,
and anything sold above that is where the company is making a profit.
(Part three)
N=q=5
units
5
units produced daily
Marginal
cost—1000
The
average cost of producing 5 units is C(q)/q= 24,000
1.) Marginal revenue is greater than
marginal cost due to the fact that marginal revenue is $7,000 and marginal cost
is $1,000
2.) The number of units sold daily is
after the break even point because the break even point is on a monthly scale. If
you were to multiply the number of units sold daily (5), by 30 to put it on the
correct scale, you would be selling approximately 150 units a month, which is
after the break even point.
3.) If production is increased by one
extra quantity per day, the company will continue to make money. When you
subtract the formula C (q+1) –C (q) from the formula R (q+1) –R (q), you can
determine whether or not the company will continue to make money. If your
answer is negative then your company will begin to lose money; however, in this
case, the answer was positive and therefore the company is still making money.
4.) At q=n, an increase in production
decreases average cost.
5.) Decreasing average costs would
benefit the company because it would become cheaper to produce their product, and
therefore, increase the profit margin.
Part 4
Over
the next five years, the coffin industry is going to grow at a steady rate. Everyone
dies eventually, and so Juan Junior Junior’s Coffin Shoppe is expected to
thrive.
Very interesting look at the coffin industry. I learned a lot about what the costs are in this industry, and what kinds of profits companies need to overcome their costs.
ReplyDeleteI like the industry you choose!
ReplyDeleteyour graphs were also clear!
paige,
ReplyDeletejuan jr. jr. the continuing saga! love it! your calculations are accurate and most of your graphs look good. the average cost graph should have only been a graph of the slope of the average cost value. other than that, good job!
professor little