Chapter 5.3, Problem 2ED

(A)

To determine

In Example 2B, there was no optimal solution for the problem of maximizing the objective function $z=10x+20y$ subjected to $6x+2y\ge 36,\text{ 2}x+4y\ge 32,y\le 20$ for $x,y\ge 0$. So add another constraint $x\le 20$ and maximize the objective function z.

(B)

To determine

In Example 2B, there was no optimal solution for the problem of maximizing the objective function $z=10x+20y$ subjected to $6x+2y\ge 36,\text{ 2}x+4y\ge 32,y\le 20$ for $x,y\ge 0$. So add another constraint $y\ge 4$ and maximize the objective function z.

(C)

To determine

In Example 2B, there was no optimal solution for the problem of maximizing the objective function $z=10x+20y$ subjected to $6x+2y\ge 36,\text{ 2}x+4y\ge 32,y\le 20$ for $x,y\ge 0$. So add another constraint $x\le y$ and maximize the objective function z.

(D)

To determine

In Example 2B, there was no optimal solution for the problem of maximizing the objective function $z=10x+20y$ subjected to $6x+2y\ge 36,\text{ 2}x+4y\ge 32,y\le 20$ for $x,y\ge 0$. So add another constraint $y\le x$ and maximize the objective function z.