Answer:
Net income will decrease by $400,000
Explanation:
Currently this business unit is generating a net loss of $150,000:
total revenue - variable expenses - fixed costs = $700,000 - $300,000 - $550,000 = -$150,000
if the unit is eliminated, then the revenue and variable expenses will be gone, but the fixed costs will be allocated to other business units. So instead of losing $150,000, the company will lose $550,000. The company's net income will decrease by $550,000 - $150,000 = $400,000
Answer:
Suppose Y is a random variable with mu Subscript Upper YμY = 0, and sigma Subscript Upper Y Superscript 2σ2Y = 1, skewness = 0, and kurtosis = 100.
n random variables drawn from this distribution might have some large outliers due to the reason that there might be some outliers because the kurtosis of the distribution equals 100..
Option A.
Explanation:
From the question, the rate of the description of the data given will not give rise to outliers in the random sample drawn from the population.
Therefore, there might be some outliers because the kurtosis of the distribution equals 100 - Option A.
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:
b. 7.28%
Explanation:
This question is asking for the yield to maturity(YTM) of the bond. You can solve this using a financial calculator with the inputs below. Additionally, adjust the coupon payment(PMT) and time to maturity(N) to semiannual basis.
Time to maturity; N = 5*2 = 10
Face value; FV = 1000
Price of bond; PV = -1071
Semiannual coupon payment; PMT = (9%/2) *1000 = 45
then compute semiannual interest rate; CPT I/Y = 3.64%
Next, convert the semiannual rate to annual rate(YTM) = 3.64% *2
YTM = 7.28%
Answer:
C. stock price changes that are random and unpredictable
Explanation:
Random walk -
In terms of business ,
This theory determines the changes in the prices of stock are not related to each other and are basically completely random and can not be predicted .
Hence , the past details can not forecast the present changes in the stock market .
Hence , the correct statement about random walk is ( c ) .