$$Question $1$

Solving a Unear Programming Problem Using the Graphical Method

Background:

As a leading automoblle manufacturer in Malaysia, your company manages multiple production and distribution facilities, where various auto parts are produced and assembled Into complete vehicles. The objective is to determine the optimal production and distribution strategy that maximises profits while adhering to constraints such as production capacity, resource avallability, and market demand.

Problem Description:

Your company operates three production plants $($Plant A$,$ Plant B$,$ and Plant C$)$ and four distribution centres $($Centre $1,$ Centre $2,$ Centre $3,$ and Centre $4).$ The production capacities and market demands for each product at these plants and centres are as follows:

$\backslash$table$[[$Production Capacity at Plants:$],[$Plant A: $350$ units of Product $x,250$ units of Product $Y$