3. The Bailey Construction Company is considering the purchase of a diesel power shovel to improve its productivity. The shovel, which costs $80,000, is expected to produce a before-tax benefit of $36,000 in the first year and $4,000 less in each succeeding year for a total of five years (i.e., before-tax benefit of $32,000 in the second year, $28,000 in the third year, continuing to $20,000 in the fifth year). The salvage value of the equipment will be $5,000 at the end of five years. The firm uses the sum-of-years'-digits depreciation for the equipment and has an annual tax rate of 30 percent. If the MARR after tax is 8 percent, is the purchase worth-while? Note: Check the web to find out how swo-of-years-digits depreciation is calculated