Chapter 2.7, Problem 10E

To determine

To graph: the system of inequalities, find the maximum values of $f\left(x,y\right)$ , and state whether this situation is infeasible, has alternate optimal solutions, or is unbounded.

Answer to Problem 10E

Unbounded

Explanation of Solution

Given information:

Assume that $x\ge 0$ and $y\ge 0$ .

  $\begin{array}{c}2x+y\ge 28\\ x+2y\ge 42\\ f\left(x,y\right)=2x+y\end{array}$

Calculation:

The graph for the given inequalities is as follows:

  

From the graph it is clear that the constraints produced an unbounded region.