For this coding task, assume you are a software engineer for the company Restaurants$-$R$-$Us$.$

A new client has been acquired, and that restaurant has decided to modify its business model by requiring a tip that is calculated using a simple algorithm. You think it's a ridiculous idea that a tip should be required, but you are willing to go along with your boss's wishes and develop a python program that implements such an algorithm.

Required Tip$=A+B+C$

A $=$ Number of Adults$)^1\mathrm{.}4+($Number of Children$)^0\mathrm{.}8$

B $=$ cost of most expensive meal if $($cheapestMeal $$ mostExpensiveMeal$/2),$

otherwise square root of $($mostExpensiveMeal $-$ cheapestMeal$)$

$C=10\%$ of total dining bill if number of sodas consumed was more than the total

number of adults plus children, otherwise $15\%$ of total bill

Figure $3$: Tip Formula $-$ note that $1\mathrm{.}4$ and $0\mathrm{.}8$ are exponents

Your manager has asked you write a python program that implements this algorithm. Because RestaurantsR$-$Us is a software development company that follows good practices, the following rules are also being imposed on your program:

Your program file must be called tipCalculator.py

You program must have a main$()$ function

You must define separate custom functions for portions A$,$ B and C of the algorithm

You should at a minimum include a fourth custom function, named calcTip

The main$()$ function can invoke any of the standard functions available in python $($int $(),$ input $(),$ print $(),$ etc.$),$ but can invoke just a single of your custom functions.

The main$()$ function should be at most $15$ lines of code $($it can be coded in far fewer$)$

The program must prompt the user for the inputs needed to perform the required tip calculation

The output of your program should provide a tip amount in the form of dollars and cents,

for example $$14\mathrm{.}33.$ The output $$22\mathrm{.}5$ is incorrect, as is $$15.$

Three sample invocations of a program that implements the algorithm are shown below.