TippingToys is considering the purchase of a new toy$-$making machine that will increase revenues by $$50,000$ a year and annual costs by $$10,000.$ The new machine will replace an outdated machine with a current book vale of $$10,000$ but if scrapped now can only be sold for $$6,000.$The new machine will cost $$100,000$ with shipping and installation fees of $$10,000.$ The machine will be depreciated via $5-$year MACRS schedule $(20\mathrm{.}0\%,32\mathrm{.}0\%,19\mathrm{.}2\%,11\mathrm{.}5\%,11\mathrm{.}5\%,5\mathrm{.}8\%).$ The firm estimates that the new machine can be sold at the end of its five$-$year life for $$20,000.$ The new machine will necessitate an investment of $$30,000$ in working capital that will be fully recovered at the end of the project. Tipping Toys has a $10\%$ cost of capital and a corporate tax rate of $40\%.$What is the IRR of the project? $18\mathrm{.}85$ is the answer just provide steps