Question Set $2.$ For this question set, you will calculate labor productivity and multifactor productivity, both in tons of wheat produced per dollar value of inputs.

A Wheat Manufacturer employs $60$ field workers $($each working $50$ hours per week at a wage of $$\frac{15}{h}r)$ and $30$ line workers $($each working $25$ hours per week at a wage of $$\frac{12}{h}r).$

The business has capital expenses of $$20,000$ per week and produces $450,000$ tons of rice per week.

Recently, the company decided to invest on additional equipment which increased the capital expenses by $12\%.$ Also, the number of field workers was cut short by $8\%$ whereas line workers were $15\%$ more recruited. Both field and line workers were given a raise of $8\%$ and $10\%,$ respectively. Due to the above$-$mentioned changes, the new system reported to have an $9\%$ more output than the old system.

You will need the following formulas:

Labor productivity $=\frac{[\text{W}\text{e}\text{e}\text{k}\text{l}\text{y}\text{o}\text{u}\text{t}\text{p}\text{u}\text{t}]}{[\text{W}\text{e}\text{e}\text{k}\text{l}\text{y}\text{t}\text{o}\text{t}\text{a}\text{l}\text{l}\text{a}\text{b}\text{o}\text{r}cost]}$

Multifactor productivity $=\frac{[\text{W}\text{e}\text{e}\text{k}\text{l}\text{y}\text{o}\text{u}\text{t}\text{p}\text{u}\text{t}]}{[\text{W}\text{e}\text{e}\text{k}\text{l}\text{y}\text{t}\text{o}\text{t}\text{a}\text{l}\text{l}\text{a}\text{b}\text{o}\text{r}cost+\text{W}\text{e}\text{e}\text{k}\text{l}\text{y}\text{c}\text{a}\text{p}\text{i}\text{t}\text{a}\text{l}\text{e}\text{x}\text{p}\text{e}\text{n}\text{s}\text{e}\text{s}]}$

After copying the table below into Excel, solve the following questions and fill the table

$\backslash$table$[[,$OLD SYSTEM,$\%$ CHANGE,NEW SYSTEM$],[$Number of Field workers,$60,-0\mathrm{.}08,?$