Question

Neon Light Company of Kansas City ships lamps and lighting appliances throughout the country. Ms. Neon has determined that through the establishment of local collection centers around the country, she can speed up the collection of payments by three days. Furthermore, the cash management department of her bank has indicated to her that she can defer her payments on her accounts by one-half day without affecting suppliers. The bank has a remote disbursement center in Florida.
a. If Neon Light Company has $2.25 million per day in collections and $1.05 million per day in disbursements, how many dollars will the cash management system free up? (Enter your answer in dollars not in millions (e.g., $1,234,567).)
b. If Neon Light Company can earn 6 percent per annum on freed-up funds, how much will the income be? (Enter your answer in dollars not in millions (e.g., $1,234,567).)
c. If the total cost of the new system is $400,000, should it be implemented?

Answer 1

Answer:

A. $7,275,000

B. $436,500

C. YES

Explanation:

A. Calculation for how many dollars will the cash management system free up

First step is to calculate for Additional collections

Using this formula

Additional collections=Daily collections× Numbers of days to speed up

Let plug in the formula

Additional collections= $2,250,000 million per day × 3 days speed up

Additional collections=$6,750,000

Second step is to calculate for delayed disbursements using this formula

Delayed disbursements= Daily disbursement × Numbers of Days for slow down

Let plug in the formula

Delayed disbursements= $1,050,000 million per day ×0.5

Delayed disbursements= 525,000

Last step is to calculate for the freed up fund using this formula

Freed up fund=Additional collections+Delayed disbursements

Let plug in the formula

Freed up fund=$6,750,000 + 525,000

Freed up fund=$7,275,000

Therefore the amount of dollars that the cash management system will free up is $7,275,000

B. Calculation for how much will the income be using this formula

Income =Freed up fund× Interest rate

Let plug in the formula

Income=$7,275,000×6%

Income=$436,500

Therefore the income amount will be $436,500

C. YES it should be implemented reason be that the income amount of $436,500 is $36,500 ($435,600- $400,000) higher than New system total cost of the amount of $400,000