Last year, Cool Lope, Inc. had an inventory turnover rate of 6.8. This year, the turnover rate is 7.1. Based on this information
1 answer:
You might be interested in
Answer:
See explanation below.
Explanation:
Let X the random variable that represent the demand for the magazine, the pmf for X is given by:
X 1 2 3 4 5 6
P(X) 1/15 2/15 3/15 4/15 3/15 2/15
3 magazines
For this case the total spent is 2*3 = $ 6
And the net revenue for this case would be:
$4-$6 = -$2 , X=1 (demand 1)
$4*2-$6 = $2 , X=2 (demand 2)
$4*3-$6 = $6 , X=3 (demand 3)
For the values of X=4,5,6 the net revenue will be $6 since the number of magazines is 3
And the expected value for the net revenue would be:
4 magazines
For this case the total spent is 2*4 = $ 8
And the net revenue for this case would be:
$4-$8 = -$4 , X=1 (demand 1)
$4*2-$8 = $0 , X=2 (demand 2)
$4*3-$8 = $4 , X=3 (demand 3)
$4*4-$8 = $8 , X=4 (demand 4)
For the values of X=5,6 the net revenue will be $8 since the number of magazines is 4
And the expected value for the net revenue would be:
As as we can see we have a higher expected value for the case with 4 magazines.
Answer:
1. Interest compounded annually = $18,049.74
2. Interest compounded quarterly = $18,493.77
3. Interest compounded Monthly = $18,598.16
4. Interest compounded continuously = $18,651.19
Explanation:
First let me state the formula for compound interest:
The future value of a certain amount which is compounded is the total amount (Principal + interest) on the amount of money, after compound interests have been applied, and this is shown below:
FV = PV
where:
FV = Future value
PV = Present value = $7,000
r = interest rate in decimal = 0.07
n = number of compounding periods per year
t = compounding period in years = 14
For interests compounded continuously, the Future value is given as:
FV = PV ×
where
is a mathematical constant which is = 2.7183
Now to calculate each on the compounding periods one after the other:
1. Interest compounded annually:
here n (number of compounding periods annually) = 1
Therefore,
FV = 7,000 ×
FV = 7,000 × = $18,049.74
2. Interest compounded quarterly:
here, n = 3 ( there are 4 quarters in a year)
FV = 7,000 ×
FV = 7,000 × = $18,493.77
3. Interest compounded Monthly:
here n = 12 ( 12 months in a year)
FV = 7,000 ×
FV = 7,000 × = $18,598.16
4. Interests compounded continuously:
FV = PV ×
FV = 7,000 × 2.66446 = $18,651.19