QUESTION $2[12$ Marks$]$

A c o mmo d ity a na lys t h as ma d e av aila ble th e fo llo wing info r ma tio n a b ou t th e c o b alt pr o du c tion i n th e De mo c r atic Re p u blic o fCo n g o $($ DR C$)$ i n $2021.$

The countr y produc e d $120000$ tonnes of cobalt with the follo win g resourc es :

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

Require d:

$2\mathrm{.}1.$ Calcula te the labour productivity per labour$-$h o ur in terms of tonnes of cobalt produce d in the DRC during the $2021$ financial year

$($round off answer to one decimal place$).$

$2\mathrm{.}2.$ In relations to cobalt production in the DRC during the $2021$ financial year, determin e the multifactor productivity. Assume an average

selling price of R$60000$ per tonne $($round off the answe r 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

$2022$ witho u t cutting production or changin g any other input, determine the percent change in multifac to r productiv ity $?($Assume an

averag e selling price of R$55000$ per tonne of cobalt in $2022).$