City engineers are considering two plans for municipal aqueduct tunnels. They are to decide between the two using an interest rate of 8 percent. Plan A is a full-capacity tunnel that will meet the needs of the city forever. Its cost is $3 000 000 now and $100 000 every 10 years for lining repairs. Plan B involves building a half-capacity tunnel now and a second half-capacity tun- nel in 20 years, when the extra capacity will be needed. Each of the half-capacity tunnels costs $2 000 000. Maintenance costs for each tunnel are $80 000 is also an additional $15 000 per tunnel per year required to pay for extra pumping costs caused by greater friction in the smaller tunnels. (a) Which alternative is preferred? Use a present worth comparison. (b) Which alternative is preferred? Use an annual worth comparison. every 10 years. There

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City engineers are considering two plans for municipal aqueduct tunnels. They are to
decide between the two using an interest rate of 8 percent.
Plan A is a full-capacity tunnel that will meet the needs of the city forever. Its cost is
$3 000 000 now and $100 000 every 10 years for lining repairs.
Plan B involves building a half-capacity tunnel now and a second half-capacity tun-
nel in 20 years, when the extra capacity will be needed. Each of the half-capacity tunnels
costs $2 000 000. Maintenance costs for each tunnel are $80 000
is also an additional $15 000 per tunnel per year required to pay for extra pumping costs
caused by greater friction in the smaller tunnels.
(a) Which alternative is preferred? Use a present worth comparison.
(b) Which alternative is preferred? Use an annual worth comparison.
every
10
years.
There
Transcribed Image Text:City engineers are considering two plans for municipal aqueduct tunnels. They are to decide between the two using an interest rate of 8 percent. Plan A is a full-capacity tunnel that will meet the needs of the city forever. Its cost is $3 000 000 now and $100 000 every 10 years for lining repairs. Plan B involves building a half-capacity tunnel now and a second half-capacity tun- nel in 20 years, when the extra capacity will be needed. Each of the half-capacity tunnels costs $2 000 000. Maintenance costs for each tunnel are $80 000 is also an additional $15 000 per tunnel per year required to pay for extra pumping costs caused by greater friction in the smaller tunnels. (a) Which alternative is preferred? Use a present worth comparison. (b) Which alternative is preferred? Use an annual worth comparison. every 10 years. There
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