Baker Manufacturing Company forecasts the following demand for a product $($in thousands of units$)$ over the next five years.

Year $12345$

Forecast Demand $122137139142141$

Currently the manufacturer has eight machines that operate on a two$-$shift $($eight hours each$)$ basis. Twenty days per year are available for scheduled maintenance of equipment. Assume there are $250$ workdays in a year. Each manufactured good takes $20$ minutes to produce.

What is the effective capacity of the factory? Round your answer down to the nearest whole number and use this answer in subsequent computations.

units$/$year

Given the five$-$year forecast, how much extra capacity is needed each year? Round your answers to the nearest whole number.

Year $12345$

Extra capacity needed $($units$)$

Does the firm need to buy more machines? If so$,$ how many? When? If your answer is zero, enter $"0".$ Round your answers up to the nearest whole number.

Year $12345$

Additional machines needed