Question

Design an algorithm for each of the exercises and type it into a word document. Upload the document to PE1 assignment folder.

1) Decision-based Algorithm:

A cell phone company offers a plan with 750 minutes of voice communications at a rate of $40.00/month. Any minutes over 750 are charged at a rate of 0.50 per minute.

Write an algorithm that allows the user to input the number of minutes a phone customer used during a particular month. The algorithm should determine the monthly charge. (Do not worry about taxes and other cell phone fees.)

Hint: You will need a decision statement that determines whether or not the user has exceeded his plan’s minutes. The formula to calculate his monthly charge will differ slightly based on the result of this decision.

   

Answer 1

A cell phone company offers a plan with 750 minutes of voice communications at a rate of $40.00/month. This means if even if the user uses less than 750 minutes of data communication he/she will be charged 40$.

Any minutes over 750 are charged at a rate of 0.50 per minute. This means if more than 750 minutes are used the monthly charge will be 40$ with additional cost = additional minutes * 0.5 $

The formula for determining the cost of the cell phone bill is

c=p+(m−b)r

Where:

c is the total cost of the bill, to be found out.

p is the base price of the plan: $40 for this problem.

m is the number of minutes used, data to entered by the user.

b is the base number of minutes allowed: 750 for this problem.

r is the rate for additional minutes: $0.5 for this problem.

Hence there is a condition that number of minutes is greater than 750 or not, which leads to two separate course of action. To calculate the monthly charge the following algorithm in the form of flowchart can be designed:

Now moving on to write a pseudo code algorithm for the problem:

function monthly_charge(m);

Input: m = number of minutes used

Output: c = monthly charge

if (m>750) then # this is the decision statement that determines whether or not the user has exceeded his plan’s minutes

d = m - 750 ;

c = 40 + 0.5 * d ;

else

c = 40 ;

return (c)

end

Now here i am writing a c program to demonstrate the above algorithm. Check this out:

#include <stdio.h>
int main () {
   int b = 40;
   int m,d.c;
printf("Enter the number of minutes used: ");   
scanf("%d", &m);  
   if( m > 750 ) {
      d=m-750;
      c=40+(0.5*d);
      printf("the monthly charge is %d$\n",c );
      } else {
      printf("the monthly charge is 40$\n" );
   }
   }
   

I have designed the required algorithm, also designed a flowchart for understanding, and finally wrote a c program which is a practical demonstration of the algorithm. Please up vote the answer if you find this helpful!!