$($a$)$ Show your work as you use the following load combinations to solve the problem:

Load Combinations

Ultimate load $=$ dead load $+$ live load $+$ snow load

Ultimate load $=$ dead load $+$ live load $+$ wind load $($or earthquake load$)$

Ultimate load $=$ dead load $+$ live load $+$ wind load snow load $2$

Ultimate load $=$ dead load $+$ live load $+$ snow load $+($wind load $2)$

Ultimate load $=$ dead load $+$ live load $+$ snow load $+$ earthquake load

Calculate the five ultimate loads resulting from each combination for the following loads:

Dead load $=45359\mathrm{.}237kg$

Live load $=13834\mathrm{.}56729kg$

Wind load $=2277\mathrm{.}0337kg$

Snow load $=181\mathrm{.}437kg$

Earthquake load $=2267\mathrm{.}962kg$