The production department of R Ltd$.$ has four separate processes$/$departments$.$ The budget for the

year ended ${30}^{th}$ June $2024$ shows the following information.

Overheads

$(1)$ Employer's liability Insurance $368000$

$(2)$ Rent and Rates $40,000$

$(3)$ Building Insurance $24,000$

$(4)$ Light and Heat $60,000$

$(5)$ Supervision of employees $80,000$

$(6)$ Insurance of machinery value of machines $30,000$

$(7)$ Depreciation of machinery value $14,000$

The following information is also available:

Production Groups

The product $"$LYT$"$ has a raw material cost of $300$ and is sold at a mark$-$up of $35\%$ and requires production in each process $/$ group as follows:

A $-5$ hours

B $-4$ hours

C $-6$ hours

D $-3$ hours

Direct Labour is paid within each production group as follows:

A $-20$ per hour

B $-12$ per hour

C $-15$ per hour

D $-17$ per hour

You are required to:

$($a$)$ Calculate a machine hour overhead absorption rate for each production group.

$($b$)$ Calculate the overhead that will be absorbed by one unit of $"$LYT$".$

$($c$)$ Calculate the selling price of the product $"$LYT$".$