A firm would like to replace a machine that originally cost $$15,000.$The new machine will cost $$100,000,$ will require $$5,000$ to install and $$3,000$ to ship.$$They will have to initially increase networking capital by $$5,000.$They can sell the old machine today for $$25,000$ and have a $40\%$ tax rate.$$The new machine will be depreciated over $10$ years. Find the initial outlay.