$2\mathrm{.}9$ Established in $2010,$ Severn Manufacturers is one of South Africa's leading designers and manufacturers of custom$-$made cosmetic and toiletry bags. The company manufactured $20000$ units during the quarter ended $31$ March $20$X$1.$ The factory has maximum capacity to manufacture $21500$ units per quarter. Additional space is required when more than $21500$ units are planned. Extra capacity is available at R$2000$ per month. The following costs for the three months ended $31$ March $20$X$1$ appeared in the books of Severn Manufacturers:

Direct material costs of R$180000$ were incurred.

Direct wages of R$220000$ were paid.

The rent for the factory building was R$6000$ for the quarter.

Other manufacturing overheads for the period were R$39750,$ of which R$18000$ was fixed.

Due to recent change in sales policy, the company introduced door$-$to$-$door sales. Commission of R$13900$ was paid to the sales agent. Rent of R$22000$ was paid for the sales office located in Ballito.

Required:

Calculate the following:

$($a$)$ Prime cost per unit for the quarter ended $31$ March $20$X$1.$

$($b$)$ Conversion costs incurred during the quarter ended $31$ March $20$X$1.$

$($c$)$ Total period costs for the quarter ended $31$ March $20$X$1.$

$($d$)$ Expected fixed costs per unit for the expected production level of $22000$ units for the forthcoming quarter.

$($e$)$ Expected total production costs for the expected production level of $22000$ units for the forthcoming quarter.