Question $2(50$ Points$)$:

$130$ cy sand is to be moved for source to site by dump truck. Distance is $7$ miles, truck haul

speed is $30$ mph ; truck return speed is $40$ mph $.$ One truckload carries $12$ cy of sand; dumping one

truckload takes $3$ min $.$ Truck hourly rate is $$\frac{25}{h},$ driver is paid $$\frac{18}{h}.$ A tractor loader costs

$$\frac{50}{h}$ and its production rate is $95c\frac{y}{h}($efficiency already incorporated$).$ The loader operator's

hourly rate is $$\frac{21}{h}.$ Transporting the loader to site costs $$\frac{400\mathrm{.}45}{60}$ efficient factor applies to

the truck operations involved.

Given one truck and one loader, calculate production rate, total duration and unit cost.

To balance truck against the loader, determine how many trucks should be rented to

improve productivity by shortening total duration or lowering the unit cost.