........... Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms in her motel. There are two plans before her. Plan A calls for an immediate cash outlay of $600,000, whereas plan B calls for an immediate outlay of $400,000. Sharon estimates that adopting plan A would yield an income stream of f(t) = 3,030,000e0.02t dollars/year for the next 5 years, whereas adopting plan B would yield an income stream of g(t) = 3,200,000 dollars/year for the next 5 years. If the prevailing rate of interest is 3%/year compounded continuously, which plan will yield the higher net income (in dollars) at the end of 5 years? O plan A O plan B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms in her motel. There
are two plans before her. Plan A calls for an immediate cash outlay of $600,000, whereas plan B calls for an immediate outlay
of $400,000. Sharon estimates that adopting plan A would yield an income stream of
f(t) = 3,030,000e0.02t
dollars/year for the next 5 years, whereas adopting plan B would yield an income stream of
g(t) = 3,200,000
%3D
dollars/year for the next 5 years. If the prevailing rate of interest is 3%/year compounded continuously, which plan will yield
the higher net income (in dollars) at the end of 5 years?
plan A
plan B
Transcribed Image Text:Business Decisions Sharon, the owner of the Brentwood Motel, is planning to renovate all the rooms in her motel. There are two plans before her. Plan A calls for an immediate cash outlay of $600,000, whereas plan B calls for an immediate outlay of $400,000. Sharon estimates that adopting plan A would yield an income stream of f(t) = 3,030,000e0.02t dollars/year for the next 5 years, whereas adopting plan B would yield an income stream of g(t) = 3,200,000 %3D dollars/year for the next 5 years. If the prevailing rate of interest is 3%/year compounded continuously, which plan will yield the higher net income (in dollars) at the end of 5 years? plan A plan B
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