Question

Use matlab and write script:

Please use n = input('Enter the value of n :') not the function command.

Consider the following equation

6a + 9b + 20c = n

The variables a, b, and c can be thought of as the number (non-negative integers) of 6’s, 9’s, and 20’s in n. Note that for a given n, there might be one, multiple, or no solutions for a, b, and c. For example,

n = 15 → a = 1 and b = 1 and c = 0

n = 16 → no solution

n = 24 → a = 4 and b = 0 and c = 0: a = 1 and b = 2 and c = 0

Write a Matlab script that asks the user for n and calculates the solutions of this equation, i.e. how many 6’s, 9’s, and 20’s fit in n. Show that this equation has exact solutions for n = 50, 51, 52, 53, 54, and 55 and list all the combinations of a, b, and c for each case.

Deliverables: Your Matlab script and its outputs with the given values of n.

Answer 1

`Hey,

Note: Brother in case of any queries, just comment in box I would be very happy to assist all your queries

clc
clear all
close all
n=input('Enter n: ');
sol=0;
flag=0;
for a=0:(n/6)
for b=0:(n/9)
for c=0:(n/20)
if((n-(6*a)-(9*b))/c==20)
sol=[a;b;c];
flag=1;
break;
end
if((n-(20*c)-(9*b))/a==6)
sol=[a;b;c];
flag=1;
break;
end
if((n-(6*a)-(20*c))/b==9)
sol=[a;b;c];
flag=1;
break;
end
end
end
end
if(flag==1)
disp('Solution is');
disp(sol);
else
disp('Solution does not exist');
end

Kindly revert for any queries

Thanks.