%% Problem 12 from Section 1.10 (Problem 7 in Homework 6)

%% Could load the M matrix and initial car numbers vector directly
%% Or, you could just type in these entries.
>> c1s10
Exercise number (1-14)? 12
M =
    0.9700    0.0500    0.1000
         0    0.9000    0.0500
    0.0300    0.0500    0.8500
x0 =
   304
    48
    98

%% x0 is the # cars on Monday. 

>> x1 = M*x0
x1 =
  307.0800
   48.1000
   94.8200
>> x1 = round(x1)
x1 =
   307
    48
    95
% The rounded x1 gives the # cars on Tuesday

>> x2 = round(M*x1)
x2 =
   310
    48
    92

% Notice how the two commands (round and M*x1) are combined here. The
% rounded x2 gives the # cars on Wednesday.