Mphoreng Industries is considering replacing its existing machine, which was purchased $3$ years ago at a cost of R$1$ million. The machine is depreciated at $30\%$ per annum and can be sold today at R$900000.$ The new machine will cost R$700000$ with R$20000$ installation cost and R$5000$ transportation costs. The use of the new machine will decrease the working capital with R$8000.$ Assume a $40\%$ capital gains tax per annum. REQUIRED: $1\mathrm{.}1$ Calculate the book value of the existing machine. Show all calculations. $(2$ marks$)1\mathrm{.}2$ Calculate the tax implication from the sale of the existing machine. $(2$ marks$)1\mathrm{.}3$ Calculate the after$-$tax proceeds from the sale of the existing machine. $(2$ marks$)1\mathrm{.}4$ Calculate the initial investment associated with the replacement of the existing machine. $(2$ marks$)$