Answer:
a-The present value of revenue in the first year is $61,085.92.
b-The total time it would take to pay for its price is 2.44 years of 29.33 months.
Explanation:
a-
Let the function of the revenue earned is given as
![S(t)=\left \{ {{66000t+38000} {\ \ 0The present value is given as [tex]PV=\int\limits^a_b {S(t)e^{-rt}} \, dt](https://tex.z-dn.net/?f=S%28t%29%3D%5Cleft%20%5C%7B%20%7B%7B66000t%2B38000%7D%20%7B%5C%20%5C%200%3C%2Fp%3E%3Cp%3EThe%20present%20value%20is%20given%20as%20%3C%2Fp%3E%3Cp%3E%5Btex%5DPV%3D%5Cint%5Climits%5Ea_b%20%7BS%28t%29e%5E%7B-rt%7D%7D%20%5C%2C%20dt)
Here
- a and b are the limits of integral which are 0 and 1 respectively
- r is the rate of interest which is 5% or 0.05
- S(t) is the function of value which is
![S(t)=\left \{ {{66000t+38000} {\ \ 0So the equation becomes[tex]PV=\int\limits^0_1 {S(t)e^{-0.05t}} \, dt\\PV=\int\limits^{0.5}_0 {(66000t+38000)e^{-0.05t}} \, dt+\int\limits^{1}_{0.5}{(71000)e^{-0.05t}} \, dt\\PV=\int\limits^{0.5}_0 {(66000t)e^{-0.05t}} \, dt+\int\limits^{0.5}_0 {(38000)e^{-0.05t}} \, dt+\int\limits^{1}_{0.5}{(71000)e^{-0.05t}} \, dt\\PV=8113.7805+18764.4669+34207.6751\\PV=61085.9225](https://tex.z-dn.net/?f=S%28t%29%3D%5Cleft%20%5C%7B%20%7B%7B66000t%2B38000%7D%20%7B%5C%20%5C%200%3C%2Fli%3E%3C%2Ful%3E%3Cp%3ESo%20the%20equation%20becomes%3C%2Fp%3E%3Cp%3E%5Btex%5DPV%3D%5Cint%5Climits%5E0_1%20%7BS%28t%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%5C%5CPV%3D%5Cint%5Climits%5E%7B0.5%7D_0%20%7B%2866000t%2B38000%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%2B%5Cint%5Climits%5E%7B1%7D_%7B0.5%7D%7B%2871000%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%5C%5CPV%3D%5Cint%5Climits%5E%7B0.5%7D_0%20%7B%2866000t%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%2B%5Cint%5Climits%5E%7B0.5%7D_0%20%7B%2838000%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%2B%5Cint%5Climits%5E%7B1%7D_%7B0.5%7D%7B%2871000%29e%5E%7B-0.05t%7D%7D%20%5C%2C%20dt%5C%5CPV%3D8113.7805%2B18764.4669%2B34207.6751%5C%5CPV%3D61085.9225)
So the present value of revenue in the first year is $61,085.92.
b-
The time in which the machine pays for itself is given as
The present value is set equal to the value of machine which is given as
$160,000 so the equation becomes:
So the total time it would take to pay for its price is 2.44 years of 29.33 months.
Answer: cultural selection
Explanation:
Products are winnowed out as they make their way down the path from conception to consumption, a process called cultural selection.
Cultural selection theory is a theory about how certain things spread in the society, such as an art, a religious ritual etc. Due to innovation and other criteria, products will be winnowed out.
All liabilities involve a probable future sacrifice of economic benefits and arise as a result of past transactions or events.
A liability is a debt that a person or business has, typically in the form of money. Through the transmission of economic benefits like money, products, or services, liabilities are eventually satisfied. Assets and liabilities can be compared. Assets are items you own or owe money to; liabilities are things you owe money to or have borrowed. A liability is an unfulfilled or unpaid obligation owed by one party to another. A financial liability is an obligation in the world of accounting, but it is more specifically characterized by previous business transactions, events, sales, exchanges of goods or services, or anything else that will generate income in the future.
More about liabilities brainly.com/question/14921529
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Answer:
Options 1 - 4 are True but 5 is FALSE
Explanation:
All options given are indicators of economic growth and strong economic performance
When considering the economic prospects of a country, it can be said that: 1. the advantages of building brand loyalty and gaining experience in a country's business practices is greater for a last-mover than for a first-mover <em>because the last-mover has the chance to learn from the mistakes of the first-mover and perfect on them</em>
2. countries which do not have property rights protection tend to achieve greater economic growth rates because<em> </em><em><u>prosperity and property rights are inextricably linked</u></em><em>. The importance of having well-defined and strongly protected property rights is now widely recognized among economists and policymakers</em>
3. the economic system and property rights regime are reasonably good predictors of economic prospects of a country because <em>widely accepted explanation is that </em><u><em>well-enforced property rights provide incentives for individuals to participate in economic activities, such as investment</em></u><em>, innovation and trade, which lead to a more efficient market.</em>
4. countries where property rights are not well respected and where corruption is rampant always have very low levels of economic growth because as stated in 3 above <u><em>ill-enforced property rights does not provide incentives for individuals to participate in economic activities, such as investment</em></u><em>, innovation and trade, which lead to a more efficient market.</em>
5.countries with command economies tend to achieve greater economic growth rates than free market economies.
<em>This is FALSE because one of the Command economy disadvantages include lack of competition and lack of efficiency.
</em>
<em />
<u>Explanation:</u>
Mercedes-Benz adopts a method where the dealers are the only contact with the customers and company has failed to communicate with the customers directly.
Customer Relationship Management (CRM) is a tool that can be utilized by the company for easier day to day work. The information can be kept up to date which is easy to import, export and apply statistics to find information. The information can be accessed by Mercedes from anywhere. It helps to connect with the customers.
Another tool Partner Relationship Management (PRM) is used to connect with partners. The tasks can be scheduled and performance can be managed. Information and report details can be shared with the help of CRM and PRM from dealers and partners with Mercedes.
