QUESTION $1(20$ MARKS$)$

Table $1$ Input and Output of PAL Company for $2021$ and $2022$

PAL Company produced Product S as their main product. Table $1$ shows the input and output for Company S$.$ There are $25$ working days per month. Assume that $2021$ is the basic year.

a$)$ Calculate total productivity $($multifactor productivity$)$ for $2021$ and $2022.$ Comment of the overall performance for the company for both years.

b$)$ Find out the profit of $2022$ by assuming that all the product has been sold out.

c$)$ From the forecasting demand, productivity is expecting to increase by $5\%$ for year $2023.$ Determine the number of working hours if the number of workers is reduced to $35$ workers. $($Assume other inputs and output are remained as $2022).$