Refer to Exercise 15. Determine the maximum distance that the man can travel.

As per the solution of exercise 15, we have

Maximize Z = x + y, subject to the constraints

   

… (i)

   

… (ii)

   

Now, let’s construct a constrain table for the above

Next, solving equation (i) and (iii) we get

   

It’s seen that the feasible region whose corner points are

   

.

Let’s evaluate the value of Z

From above table the maximum value of Z is

   

Therefore, the maximum distance that the man can travel is

   

km at

   

.