Question 1055922
.
 Find the maximal value of the object {{{highlight(cross(linction))}}} function z = x + 3y; subject to constraints; y less than equal to x+1,
x+y greater than equal to 2, 2y greater than equal to x-1, as x greater than equal to 0 and y greater than equal to 0.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~


{{{graph( 330, 330, -5.5, 5.5, -5.5, 5.5,
          x+1, 2-x, (x-1)/2
)}}}


Plots y = x+1 (red), y = 2-x (green), y = {{{(x-1)/2}}} (blue)


Make a sketch of the given area, or use the sketch I prepared for you.


Your area is the infinite domain in the first quadrant bounded by the red, green and blue straight lines.


The given object function <U>HAS NO</U> maximal value over this domain.


There are only two options:


1) <U>EITHER</U> the answer is NEGATIVE (no maximum),


2) <U>OR</U> the formulation is wrong.



There is <U>NO</U> other options.