A particular project has $750,000$ cubic yards of material weighing $2600lb\frac{s}{c}y.$ Your company has given you up to $10-637G$ tandem powered auger loaded scrapers to use to move the material. The $637G$ scraper cost $$210/$ea per hour to operate and maintain. The haul road to the fill site is $2,500$ feet and has a total resistance of $12\%.$ The return trip is also $2,500$ feet with a total resistance of $8\%.$ The estimated job efficiency is $90\%.$ Your compaction and support equipment cost $$\frac{500}{h}r$ and is capable of maintaining your haul road and spreading and compacting as much material as $10$ scrapers can haul. Your estimators bid $$\frac{2\mathrm{.}00}{?}$ cy to move the material or $$1,500,000.$ It will cost you $$10,000$ to move the support equipment to and from the job $($a required mobilization and demobilization cost$)$ and $$\frac{5000}{?}$ pair of $637G$ scrapers to and from the job. Develop the best equipment plan $($i$.$e$.$ the optimum number of scrapers$)$ for the operation and determine how much money the company will gain or lose moving the $750,000$ cubic yards.

$4$b$.$ Same as #$4$ except use $627$G Standard Push Pull $(8-26$ and $8-27)$ at $$\frac{160}{h}r$ and a haul route at $4,000-$feet with a Total Rolling Resistance of $6\%$ each way.

$4$c$.$ Same as #$4$ except use $657$ G Standard Push Pull $(8-42$ and $8-43)$ at $$\frac{310}{h}r$ and an efficiency of $80\%.$

$4$d$.$ Same as #$4$ except no support $($do not include $$\frac{500}{h}r$ and $$10,000$ for support mobilization$)$ with a Total Rolling Resistance of $16\%$ going and $12\%$ coming.