A shipyard needs a crane to support a new ship construction project. It can lease a crane for

three years, for $$180,000$ payable up front, which includes maintenance costs. The alternative is

to purchase the crane for $$240,000$ and sell it after three years for $$100,000.$ The company must

pay for maintenance on the crane, which is estimated to be zero at the end of the first year,

$$5,000$ at the end of the second year and $$10,000$ at the end of the third year. If the internal

rate of return for the company is $15\%,$ which option should the shipyard management choose?

Explain your reasoning