A company is considering purchasing equipment costing $$60,000.$ The equipment is expected to reduce costs fromyear $1$ to $5$ by $$5,000,$ year $6$ to $9$ by $$8,000,$ and in year $10$ by $54,000.$ In year $10,$ the equipment can be sold at asalvage value of $$15,000.$ Calculate the internal rate of return $($IRR$)$ for this proposal.