(i)
(ii) In the figure the shaded region ABC is the feasible region. Here the region is bounded. The corner points are 4(4, 3), 5(0, 6), C(0, 5)
(iii) Given; Z = 200x + 500y
Corner points |
Value of Z |
A |
Z = 200(4)+500(3) = 2300 |
B |
Z = 200(0)+500(6) = 3000 |
C |
Z = 200(0)+500(5) = 2500 |
Since minimum value of Z occurs at A, the soluion is Z = 200(4) + 500(3) = 2300.