You're contracted to work with a trucking freight company We Like to Move it$,$ Move it$!.$ The

hourly rates for drivers are $$14$ per hour and $$15$ per hour. The operating cost of the truck is$,$ in

cents per mile,

truck$(d,s)=(\frac{60+s}{2})d$

where $d,s$ are distance and speed, respectively. The total cost is then:

$c(s,d,h)=$driver$(h,t)+$truck$(d,s)$

where $h$ is the hourly rate and $t$ is the time for which the driver drove the truck. You inform the

company that this is an optimization problem, given a fixed salary and distance. In particular, you

say that since the speed must be from $40mph$ to $60mph,$ there is an optimal speed that reduces

cost$.$ Implement the functions that allow you to determine for a fixed distance and salary $($we$\text{'}$ll

look at both$),$ the speed that reduces cost. The following code:

$1s_{-}a,s_{-}b=40,60$

$2$ hr$\_$rate $=14$

$3$ distance $=100$

$4$ print$($min$\_$cost$($distance$,$ hr$\_$rate, $($s$\_$a$,$s$\_$b$)))$

$5hr\_$rate $=15$

$6$ print$($min$\_$cost $($distance$,$ hr$\_$rate, $($s$\_$a$,$s$\_$b$)))$

produces:

$1(82\mathrm{.}92,53)$

$2(84\mathrm{.}77,55)$

One aspect of the problem you must pay attention to is the different units: dollars and cents.

These cannot be added together, since they're different units, e$.$g$.,1$ dollar plus $1$ cent $2.$

Either you have $100+1$ or $1+\mathrm{.}01.$

Deliverables Problem $7$

Complete the functions following the algorithm described above.

The return type of min$\_$cost is a tuple $(x,y)$ where $x$ is the cost and $y$ the speed.

Round cost to $2$ decimal places.