Galvanized Products is considering purchasing a new computer system for their enterprise data management system. The vendor has quoted a purchase price of $\backslash (\backslash$$ $130,000\backslash ).$ Galvanized Products is planning to borrow $\backslash (1/4\backslash )$ th of the purchase price from a bank at $\backslash (12\mathrm{.}00\backslash \%\backslash )$ compounded annually. The loan is to be repaid using equal annual payments over a $3-$year period. The computer system is expected to last $5$ years and has a salvage value of $\backslash (\backslash$$ $5,400\backslash )$ at that time. Over the $5-$year period, Galvanized Products expects to pay a technician $\backslash (\backslash$$ $28,000\backslash )$ per year to maintain the system but will save $\backslash (\backslash$$ $56,000\backslash )$ per year through increased efficiencies. Galvanized Products uses a MARR of $\backslash (18\mathrm{.}00\backslash \%/\backslash )$ year to evaluate investments.

a$.$ What is the present worth of this investment?

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Do all calculations to $5$ decimal places and round final answer to $2$ decimal places. Tolerance is $\backslash (\backslash$pm $1\mathrm{.}00\backslash ).$