$1.$ A compacted fill is being built with $2$ sheep's$-$foot c File Preview s that each have a $5-$ft wide drum, operating at $\backslash (2\mathrm{.}0\backslash$mathrm$\{$mi$\}./\backslash$mathrm$\{$hr$\}\backslash ).$ Six passes are required to obtain the $\backslash (6-\backslash$mathrm$\{$in$\}\backslash ).$ depth of compacted fill to meet the moisture$/$density specifications. A spread of $22-$cy$,$ loose measure, trucks will haul the fill dirt to the compacted area. Analysis of the soil conditions indicates a $22-$cy loose measure truck is equivalent to $15\mathrm{.}8$ cy compacted measure. Determine number of trucks and compactor drums are required.

A$)$ If the cycle time of a single truck is $15$ min $.,$ how many trucks are required?

B$)$ If $130,000$ cy of compacted fill are required using this compaction equipment, how many drums are required if the project is to be completed in $28$ days?

$2.$ An equipment operator is estimated to work, $10$ hours$/$day and $5$ days$/$week$,$ with typical overtime rates. The equipment works the same hours per day as the operator with an equipment cost of $\backslash (\backslash$$ $115/\backslash )$ hour and can move up to $50$ cy$/$hour$.$ Apply a productivity of $45$ minutes per hour. Calculate the amount of material that can be moved in a week. Find the production unit cost per hour for earthmoving equipment and its operator based on cubic yards.