A highway bridge is being considered for replacement. The new bridge would cost $$x$ and would last for $24$ years. Annual maintenance costs for the new bridge are estimated to be $$27,000.$ People will be charged a toll of $$0\mathrm{.}28$ per car to use the new bridge. Annual car traffic is estimated at $390,000$ cars. The cost of collecting the toll consists of annual salaries for six collectors at $$9,000$ per collector. The existing bridge can be refurbished for $$1,800,000$ and would need to be replaced in $24$ years. There would be additional refurbishing costs of $$75,000$ every five years and regular annual maintenance costs of $$21,000$ for the existing bridge. There would be no toll to use the refurbished bridge. If MARR is $15\%$ per year, what is the maximum acceptable cost $(x)$ of the new bridge?

Click the icon to view the interest and annuity table for discrete compounding when the MARR is $15\%$ per year.

Choose the correct answer below.

A$.$ The maximum acceptable cost of the new bridge is $$2,116,543.$

B$.$ The maximum acceptable cost of the new bridge is $$2,529,016.$

C$.$ The maximum acceptable cost of the new bridge is $$1,479,020.$

D$.$ The maximum acceptable cost of the new bridge is $$2,181,590.$

E$.$ The maximum acceptable cost of the new bridge is $$1,818,724.$