Hi, I am not sure if I am asking in the right section.

Anyway, for the following:

maxf= 7x + 4z + 4

s.t. 3x + 2z < 2

0 < x,z < 1

I have to solve by inspection by considering the ratio of the coefficients of the variables in objective function and constraint.

For x it is 7/3 and for z it is 2. Apparently I am supposed to choose x as large as possible so therefore x = 2/3

I would like to know how this is obtained.

Thanks