Option $1$: Purchase a new machine for the Production Department for $$550,000.$ The machine will increase productivity by

$6\%$ and all of the additional units manufactured can be sold. The cost of the machine is $$550,000$ and it has a $10-$year life.

The net cash inflow is expected to be $$127,000$ each year for $10$ years.

Option $2$: Invest in a new fleet of automobiles for Sales and Services Department. The automobiles consist of a mix of cars

for salespeople, delivery trucks to ship completed products, and specialty cargo trucks for transporting raw materials used

in production. The selected vehicles are more fuel efficient, equipped with the latest technology to help avoid accidents,

and provide greater capacity for the needs of the company. The fleet of vehicles could be purchased for $$800,000$ and are

expected to have a $10-$year useful life. ABC expects a net cash inflow of $$184,000$ each year for $10$ years.

Option $3$: Purchase a new company$-$wide ERP system, which can link the relevant functions. This will improve

communications among all departments, reduce redundant information, and minimize errors. The ERP system has a cost of

$$536,000,$ which includes training, setup, and periodic upgrades to avoid obsolescence for $6$ years. It has an estimated

useful life of $9$ years and expected net cash inflow of $$40,736.$

can you help me find the unadjusted rate of return for all these examples and explain how you did it$.$