Machine Problem:

A$.$ Design and implement a program that will find the result of the following:

${\displaystyle \underset{i=53}{\overset{i=15674}{}}}(2i+5)$

B$.$ Write a program that accepts a single positive integer. The program should output the value of the summation. This means that if the input is $5,$ the program should output the sum of all numbers from $1$ to $5,$ or $15.$ If the input is $10,$ the program should output the sum of all numbers of $1$ to $10,$ or $55.$ C$.$ Combine Exercises A and B using switch$/$case statement. Case $1$ for Exercise A$,$ Case $2$ for Exercise B and Case $3$ for Exit.