Please answer all parts.

Problem $3(10$ points$)$

Using Figure $3,$

Determine the purchase quantity of $28$ rafters needed for the roof. The slope of the roof is $4$:$12.$

Collar ties are used to prevent the rafters of the roof from spreading. The collar ties are $16s$ spaced $4$ feet on center and are located one$-$third of the distance from the ridge of the roof to the top of the walls. Determine the purchase quantity of $16$ needed for the collar ties.

Determine the purchase quantity of $110$ s needed for the ridge of the roof.

Determine the number of $4-$foot by $8-$foot sheets of plywood needed to cover the roof.

How many linear feet of $110$ fascia and $\frac{1}{2}-$inch A$-$C plywood soffit are needed for the roof?

Figure $3$: Roofing Plan