Proposal #2 would establish local collection centers throughout the region to decrease the time it takes to convert credit payments that are mailed in by check to cash. It is estimated that establishing these collection centers would reduce the average collection time by 2 days. If the company currently averages $60,000 in collections per day, how many dollars will this suggested cash management system free up?If all freed up dollars would be used to pay down debt that has an interest rate of 5%, how much money could be saved each year in interest expense?Do the numbers suggest that this new system should be implemented if its total annual cost is $5200? Explain.

a. $120,000

b. $6,000

c. Yes

Explanation:

a. It is said that the collection centres would help reduce the collection time by 2 days and that every day $60,000 comes in.

If the proposal will reduce the amount of time taken to collect by 2 days then that means that the amount freed up is the amount that they would have collected in two days had it not been for the system.

That amount would be,

= $60,000 * 2

= $120,000

b. If they used this free up cash to pay off a debt that was accumulating 5% per year then the 5% will be saved.

The amount saved therefore is,

= 120,000 * 5%

= $6,000

By retiring a $120,000 that was accruing $6,000 a year, the proposal has enabled that $6,000 to be saved instead.

c. The cost of implementing this proposal is $5,200 per year and yet the savings it gives in interest is $6,000.

As the savings are higher than the cost, the number definitely suggest that the project should be implemented because it is more beneficial than it costs.