Business Math 2

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the engraving department
uses an aging rotary engraver to engrave plaques and trophies. the machine has
been reliable, but requires regular maintenance and periodic replacement of
parts. charlie has just found out that this engraver will no longer be
supported by the manufacturer. this means that service and parts will be hard
to get in the future and if it breaks it could take up to three weeks to get a
new machine up and running. they keep this machine running almost 8 hours a
day, every day. each day that the engraver is down will cost around $975 in
lost income.


if charlie has to buy a
new engraver, it would cost around $25,000.


charlie can get a
one-year loan at 12% to buy a new engraver, but he worries that this is a lot
of money to spend, especially since the old engraver is still working fine. he
has to make a decision.


should he purchase a new
engraver now or wait until the old engraver breaks before ordering a new
engraver?


what
you know:


new engraver cost:
$25,000


one-year loan cost: 12%
interest


revenue per day from
engraving: $975


profit margin on
engraving: 25%


potential days lost, if
engraver breaks: 18


what
you are looking for:


1.         
cost of new engraver in total if the full value is financed by a
12% loan (not including tax)


2.         
total amount of revenue that could be lost if the engraver breaks


3.         
amount of net profit that could be lost if the engraver breaks


4.         
how long it will take to pay for the engraver if the entire net
profit is allocated toward paying for it?


5.         
any other considerations that charlie should factor into his
buying decision


solution
plan:


1.         
the local bank will loan charlie $25,000 for 1 year at an interest
rate of 12% with only one payment due at the end of the year. if charlie
borrows the full $25,000 for the new engraver, what will the total cost of the
loan be?


2.         
calculate the total amount of revenue (gross profit) that will be
lost if the engraver breaks.


3.         
if the engraving business makes $975 per day in revenue and
generates a net profit of 25%, how much profit is generated per day?


4.         
what is the total net profit lost if the engraver is out of
commission for the full 18 days?


5.         
if the engraver is kept busy 269 full days per year, how much
revenue (gross profit) will be generated?


6.         
if the engraver is kept busy 269 full days per year, how much net
profit will be generated?


7.         
given a 25% profit margin and $975 per day in revenue, how many
days would it take for the new engraver to earn back the total cost of purchase,
if the entire net profit were allocated to pay for the unit? round your answer
to the next full day.


8.         
what other factors should charlie consider in order to make a good
business decision?


9.         
should charlie buy the new engraver? why?


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