$7\mathrm{.}3$A project requires $40,000$ cy of compacted fill that must be completed in $32$ work$-$ ing days. The fill material will be hauled to the site in $21-$cy$,$ loose measure, trucks. The cycle time for a truck is $40$ min per trip. The swell factor for the earth is $25\%$ and the shrinkage factor is $10\%.$ Assume $8$ hours per day and a $45-$min effective hour. Determine the number of required trucks to complete the project in $32$ days.