Cost function $\mathrm{Z}$ given by $\mathrm{Z}=4 \mathrm{x}+6 \mathrm{y}$ is to be minimized. The fessible…
Cost function $\mathrm{Z}$ given by $\mathrm{Z}=4 \mathrm{x}+6 \mathrm{y}$ is to be minimized. The fessible region for this function $\mathrm{Z}$ is the shaded region represented in the following figure. Then the minimum value of $\mathrm{Z}$ is and occurs at the point
)
$260,(20,30)$
$240,(0,40)$
$100,(25,0)$
$254,(14,33)$
Solution
Here corner points are $(80,0),(0,80)$ and $(14,33)$
$\mathrm{Z}$ is minimum at $(14,33)$ and $\mathrm{Z}_{\min }=4 \times 14+6 \times 33=254$
)