Answer:
$14038
Explanation:
The company has marginal revenue R'(t) = 
. Therefore its revenue R(t) is given as;
R(t) = ∫R'(t)
R(t)= ∫ dt = + c
R(t) = + c
But R(0) = 0, therefore:
R(0) = 
+ c = 0
+ c = 0
100 + c =0
c = -100
Also the marginal cost per day is given by C'(t) = 140 - 0.3t
C'(t) = 140 - 0.3t
C(t) = ∫C(t) = ∫ (140 - 0.3t) dt = 140t - (0.3/2) t² + C
But C(0) = 0
C(0) = 140 (0) - (0.3/2)(0)² + c = 0
c = 0
C(0) = 140t - (0.3/2) t²
Profit P(t) = R(T) - C(T) , hence the total profit from t = 0 to t = 5 is given as:
P(t) = ![\int\limits^0_5 {[R'(t)-C'(t)]} \, dt =\int\limits^0_5 {([100e^t-(140-0.3t)]} \, dt=\int\limits^0_5 {100e^t} \, dt +\int\limits^0_5 {-0.3t} \, dt +\int\limits^0_5 {-140} \, dt \\\\=[100e^t]_0^5+[ -140t]_0^5+[-0.3t^2/2]_0^5=[14841.316-100]+[-700]+[-3.75]=14038](https://tex.z-dn.net/?f=%5Cint%5Climits%5E0_5%20%7B%5BR%27%28t%29-C%27%28t%29%5D%7D%20%5C%2C%20dt%20%3D%5Cint%5Climits%5E0_5%20%7B%28%5B100e%5Et-%28140-0.3t%29%5D%7D%20%5C%2C%20dt%3D%5Cint%5Climits%5E0_5%20%7B100e%5Et%7D%20%5C%2C%20dt%20%20%2B%5Cint%5Climits%5E0_5%20%7B-0.3t%7D%20%5C%2C%20dt%20%20%2B%5Cint%5Climits%5E0_5%20%7B-140%7D%20%5C%2C%20dt%20%20%5C%5C%5C%5C%3D%5B100e%5Et%5D_0%5E5%2B%5B%20-140t%5D_0%5E5%2B%5B-0.3t%5E2%2F2%5D_0%5E5%3D%5B14841.316-100%5D%2B%5B-700%5D%2B%5B-3.75%5D%3D14038)
The profit is $14038
Answer: Josh's bonus is $35,289.53.
In the question above, we need to look at the net savings that will occur from selling drinks instead of giving them as complimentary drinks. So we have,
Net Savings per year = $11.04 million
The company's MARR = 15%
Josh's bonus is 0.14% of the present value of three years' net savings.
Since the quantum of savings is constant each year, we can calculate the present value of these savings by using the Present Value of annuity formula.
![PVA = P * \left [\frac{1-(1+r)^{-n}}{r} \right ]](https://tex.z-dn.net/?f=%20PVA%20%3D%20P%20%2A%20%5Cleft%20%5B%5Cfrac%7B1-%281%2Br%29%5E%7B-n%7D%7D%7Br%7D%20%5Cright%20%5D%20)
PVA = Present value of three years' net savings = 25.20680529
million
Josh's bonus : 0.14% of present value of three years' net savings.
Josh's Bonus = $0.035289527
million or $35,289.53.
Answer:
104.6 million
Explanation:
Data provided in the question:
Free cash flows for 2018 = $58.1 million
Investment in operating capital = $41.1 million
Depreciation expense = $15.5
Taxes on EBIT in 2018 = $20.9 million
Now,
EBIT
= Free Cash Flow + Investment in operating capital + Taxes - Depreciation
on substituting the respective values, we get
EBIT = $58.1 million + $41.1 million + $20.9 million - $15.5
or
EBIT = 104.6 million
I believe it is a non-sufficient funds fee
Answer:
b. all banks whether or not they are members of the Federal Reserve System.
Explanation:
Banks subject to reserve requirements set by the Federal Reserve System includes all banks from commercial banks to savings banks, to savings and loans banks, credit agencies and also all foreign banks with branches in the United States.
