study the information provided below and answer the following questions.

Paulshro Enterprise makes three different types of high$-$end airconditioners. the ceiling type $($A$1$X$),$the cassette type $($A$2$X$),$and the wall$-$mounted type $($A$3$X$).$ the data provided below relates to the $3$ types of air conditioners for the current year.

Annual production and sales units: $($A$1$X$)=450,($A$2$X$)=375$ and $($A$3$X$)=500$

Selling price per unit,R: $($A$1$X$)=36000,($A$2$X$)=45000$ and $($A$3$x$)=50000$

Direct labour per unit,minutes: $($A$1$X$)=180,($A$2$X$)=120$ and $($A$3$X$)=90$

Direct material cost per unit,R: $($A$1$X$)=8000,($A$2$X$)=6550$ and $($A$3$X$)=8400$

Actual overhead cost per unit,R: $($A$1$X$)=7100,($A$2$X$)=5300$ and $($A$3$X$)=4400$

a$.$ calculate the labour production in Rands per hour for each type of air conditioner, round off answers to the nearest Rand where necessary.

b$.$ calculate the current multifactor productivity of Paulshron Enterprises.show all calculations and round off answer to two decimal places

c$.$ Paulshron Enterprisess plans to increase the selling prise of each of the three types of airconditioners by $5\%$ and the total direct labour cost is projected to increase to R$3200$ per hour next year. calculate the expected multifactor productivity of Paulshron Enterprisess next year. show all calculations and round the answer to two decimal places