Answer:
The one time fee that the owner should charge is $1764.71
Explanation:
To calculate the one time fee, we take this as a perpetuity and calculate the value or price of the perpetuity based on the fututre cash flows discounted to today's price by a certain dicount rate.
The discount rate is taken as 8.5% which is also the market interests rate.
The formula for the value/price of the perpetuity is,
Value / Price = Cash flow / Discount rate
Value / Price = 150 / 0.085
Value / Price = $1764.705 rounded off to $1764.71
Credit $1300 from you cash or bank account and Debit $1300 to Principal account.
Given:
Future value, F=60508.29
Monthly payment, A = 165
Compounding period = month
Number of periods, n = 12*12=144
interest per period = i [ to be found ]
We have the relationship
F=A((1+i)^n-1)/i
but there is no explicit formula for i for given F, A and n.
We need to solve a non-linear equation for the value of i, the monthly interest rate.
One of the ways is to solve it by fixed iteration, i.e.
1. using the given relation, express i in terms of other parameters.
2. select an initial value of i
3. evaluate i according the equation in step 1 until the value is stable.
Here we will use the relationship to express
i=((60508.29*i)/165+1)^(1/144)-1 [ notice that i is on both sides of = sign ]
using an initial value of i=0.01 (about 1% per month).
Successively, we get
i=((60508.29*0.01)/165+1)^(1/144)-1=0.01075571
i=((60508.29*0.01075571)/165+1)^(1/144)-1=0.011160681, similarly
i=0.0113685
i=0.0114728
i=0.0115246
i=0.0115502
i=0.0115628
i=0.0115690
i=0.0115720
Assuming the above has stablilized, and the APR is 12 time the above value, namely
Annual percentage rate = 0.01157205998210142*12=0.13886=13.89%
Answer:
22 radio advertisements will be used.
Explanation:
<u>Note</u>: A similar complete question is as follow as the question provided is incomplete <em>"A company has $11,970 available per month for advertising. Newspaper ads cost $110 each and can't run more than 25 times per month. Radio ads cost $410 each and can't run more than 32 times per month at this price. Each newspaper ad reaches 5950 potential customers, and each radio ad reaches 7100 potential customers. The company wants to maximize the number of ad exposures to potential customers. Use n n for number of Newspaper advertisements and r r for number of Radio advertisements . Maximize P"</em>
Number of potential customers that can be reached due to each dollar spent in newspaper advertising = 5950 / 110 = 54.09
Number of potential customers that can be reached due to each dollar spent in Radio advertisements = 7100 / 410 = 17.32.
As the number of potential customers reached by each dollar spent is more from the newspaper advertising, we will use all the newspaper advertising opportunities before going for the radio advertisements. So, we will choose to have 25 newspaper advertisements in the month.
The cost of 25 newspaper advertisements = 25*110 = $2750.
Amount left = $11970 - $2750 = $9220.
Number of radio advertisements possible in this budget = 9220 / 410 = 22.48
Hence, 22 radio advertisements will be used.
Answer:
d. The decision maker must only stick to completely rational, mathematical analysis while selecting an alternative.
Explanation:
It is most ideal for a decision maker to stick to completely rational way of selecting an alternative as this means that the decision maker will only make choices that will be of maximum benefits and low costs. Factors such as personal feelings, or sense of obligation do not interefere when a decision maker sticks to completely rational and mathematical analysis method of decision making.
