Pharoah Company has a factory machine with a book value of $\backslash (\backslash$$ $87,800\backslash )$ and a remaining useful life of $5$ years. It can be sold for $\backslash (\backslash$$ $32,000\backslash ).$ A new machine is available at a cost of $\backslash (\backslash$$ $455,100\backslash ).$ This machine will have a $5-$year useful life with no salvage value. The new machine will lower annual variable manufacturing costs from $\backslash (\backslash$$ $624,400\backslash )$ to $\backslash (\backslash$$ $524,400\backslash ).$ Prepare an analysis showing whether the old machine should be retained or replaced