What is liner programming?

What is liner programming?
Do you mean linear programming?

Simply put, you have to maximize/minimize, a linear equation (e.g. a = 2x + 3y) subject to constraints (e.g. x>4; y>7; x,y>0)

(to solve the example, graph x=4 and y=7 and x,y=0. determine the area where all these three conditions are possible and find the coordinates of the points where there are intersections. Substitute these coordinates into the linear equation, a=2x+3y. The coordinate where a is highest is where you maximize the linear equation, while the coordinate where a is lowest is where you minimize the linear equation.)

here's a link to an article on wikipedia about linear programming
en.wikipedia.org/wiki/Linear_programming