Consider the following Linear Programming model: Maximize -x+0.5y Subject to: y-2xlt;=1 4x+ygt;=4 ylt;=6 ygt;=0 xgt;=0.5 (a) Draw the feasible...

Consider the following Linear Programming model:

Maximize -x+0.5y

Subject to:

y-2x<=1

4x+y>=4

y<=6

y>=0

x>=0.5

(a) Draw the feasible region and objective function for the model. Report what you find about

the optimal solution(s) and the optimal

value. Justify your finding.

(b) Change the objective function in the LP model to "x-0.5y".

Report what you find about the optimal solution(s) and the optimal value. Justify your finding.