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Lubbock County is planning to construct a bridge across the Rio de Lubbock to fa

ID: 1092034 • Letter: L

Question

Lubbock County is planning to construct a bridge across the Rio de Lubbock to facilitate afternoon skiing in the El Dusto Ski Basin. The first cost for the bridge will amount to $6,500,000. Annual maintenance and repairs will amount to $25,000 for each of the first five years, to $30,000 for each of the next ten years and to $35,000 for each of the next five years. In addition, a major overhaul costing $500,000 will be required at the end of the tenth year. Use an interest rate of 5% and determine the equivalent uniform annual worth for a 20-year period.

Explanation / Answer

Cash Outflows Purchase                          -             1.00        6,500,000.00         6,500,000.00 Cash Outflows                     1.00           0.95              25,000.00               23,809.52 Cash Outflows                     2.00           0.91              25,000.00               22,675.74 Cash Outflows                     3.00           0.86              25,000.00               21,595.94 Cash Outflows                     4.00           0.82              25,000.00               20,567.56 Cash Outflows                     5.00           0.78              25,000.00               19,588.15 Cash Outflows                     6.00           0.75              30,000.00               22,386.46 Cash Outflows                     7.00           0.71              30,000.00               21,320.44 Cash Outflows                     8.00           0.68              30,000.00               20,305.18 Cash Outflows                     9.00           0.64              30,000.00               19,338.27 Cash Outflows                   10.00           0.61              30,000.00               18,417.40 Cash Outflows                   11.00           0.58              30,000.00               17,540.38 Cash Outflows                   12.00           0.56              30,000.00               16,705.12 Cash Outflows                   13.00           0.53              30,000.00               15,909.64 Cash Outflows                   14.00           0.51              30,000.00               15,152.04 Cash Outflows                   15.00           0.48              30,000.00               14,430.51 Cash Outflows                   16.00           0.46              35,000.00               16,033.90 Cash Outflows                   17.00           0.44              35,000.00               15,270.38 Cash Outflows                   18.00           0.42              35,000.00               14,543.22 Cash Outflows                   19.00           0.40              35,000.00               13,850.69 Cash Outflows                   20.00           0.38              35,000.00               13,191.13 Cash OutflowsMajor Overhaul                   10.00           0.61            500,000.00             306,956.63 PV of cash outflows         7,169,588.32 Equivalent uniform annual cost             358,479.42