Relevant Costs for Equipment Replacement Decision

Assume Urgent Care paid $$42,000$ for X$-$ray equipment four years ago. The equipment was expected to have a useful life of $10$ years from the date of acquisition with annual operating costs of $$25,000.$ Technological advances have made the machine purchased four years ago obsolete with a zero salvage value. An improved X$-$ray device incorporating the new technology is available at an initial cost of $$50,000$ and annual operating costs of $$15,000.$ The new machine is expected to last only six years before it$,$ too, is obsolete. Asked to analyze the financial aspects of replacing the obsolete but still functional machine, an Urgent Care accountant prepared the following analysis. After looking over these numbers, the company's manager rejected the proposal.

Six$-$year savings $[($$$25,000-$ $ $15,000)$ X $6]=$$$60,000$

Cost of new machine $=(50,000)$

Undepreciated cost of old machine $[($$$42,000/10)$ x $6].=(25,200)$

Advantage $($disadvantage$)$ of replacement $=$ $$15,200$

Calculate the net benefit $($cost$)$ of purchasing the new machine.