A commodity analyst has made available the following information about the cobalt production in the Democratic Republic of Congo $($DRC$)$ in $2021.$

The country produced $120000$ tonnes of cobalt with the following resources:

Labour: $1200000$ hours @ R$250\mathrm{.}00$ per hour

Energy: R$8000000$ per month

Capital costs: R$160000000$ for the year

Expenditure on suppliers and Supplies: R$120000000$ for the year

Required:

$2\mathrm{.}1.$ Calculate the labour productivity per labour$-$hour in terms of tonnes of cobalt produced in the DRC during the $2021$ financial year$\mathrm{ (}$round off answer to one decimal place$).$

$2\mathrm{.}2.$ In relations to cobalt production in the DRC during the $2021$ financial year, determine the multifactor productivity. Assume an average selling price of R$60000$ per tonne $($round off the answer to two decimal places$).$

$2\mathrm{.}3.$ Assuming that the capital costs and the energy bill in relations to cobalt production were reduced by $50\%$ and $30\%$ respectively in$\mathrm{ 2}022$ without cutting production or changing any other input, determine the percent change in multifactor productivity? $($Assume an  average selling price of R$55000$ per tonne of cobalt in $2022).$