[Solution] Consider the following linear programming problem. max 2x+y , s.t. , 4x+y≤ 40 , 4x+3y≤ 60 , x+2y≤ 30 , x,y≥ 0 , Use a graph to show
Question: Consider the following linear programming problem.
\[\begin{aligned} & \max \,\,\,2x+y \\ & \text{s}\text{.t}\text{.} \\ & 4x+y\le 40 \\ & 4x+3y\le 60 \\ & x+2y\le 30 \\ & x,y\ge 0 \\ \end{aligned}\]- Use a graph to show each constraint and the feasible region
- at are the extreme points?
- at is the optimal solution?
- at is the optimal value of the objective function?
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