Problem $3.[35$ points$]$ Electricity bill. Write a MATLAB function called billCalculator that takes the monthly electricity unit usage of N families as an input vector $x($the length of $x$ is $N),$ and returns a vector $y$ that contains each family's total electricity bill based on the following table:

$\backslash$table$[[$Electricity usage bracket,Rate$],[$usage $100,$$$\frac{0\mathrm{.}45}{?}$ unit$],[100$ usage $250,$$$\frac{0\mathrm{.}85}{?}$ unit$],[$Usage $>250,$$$\frac{1\mathrm{.}45}{?}$ unit$]]$

$*$Note: an additional fixed customer charge of $$12$ is added to the total bill of each family.

Call the function and calculate the electricity bill for $5000$ users with their usage stored in dat$\_$hw$11\_$prob$3.$mat. You must implement your solution in two ways: with loops and without loops. This means that you need to implement two functions one uses the loop, and one does not use any loop.

Submit your $.$m file as "yourLastName hw$11$ prob$3.$m$"$ and report maximum. minimum, mean and variance of the monthly electricity costs derived from the data in the write$-$up$.$