Seattle$-$area builders report $2$ types of major construction delays when building houses: weatherrelated delays and supply$-$disruption delays. Each weather$-$related delay costs builders $$6,000$ per

house and each supply$-$disruption delay costs builders $$3,000$ per house. Assume the expected

number of weather$-$related delays per house equals $4\mathrm{.}5$ and the expected number of supplydisruption delays per house equals $2\mathrm{.}5.$ For Seattle$-$area builders, determine the expected total

cost per house due to major construction delays. $($Show work; $1$ p