For a concert event,there are $30 reserved seat tickets and $20 general admission tickets.There are 2000 reserved seats available,and fire regulations limit the number of paid ticket holders to 3000.The promoter must take in at least $65,000 in ticket sales.Find and graph a system of inequalities describing the different numbers of tickets that can be sold.
A) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 72,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$
B) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 68,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$
C) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 66,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$
D) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 73,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$
E) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 65,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$

Question

For a concert event,there are $30 reserved seat tickets and $20 general admission tickets.There are 2000 reserved seats available,and fire regulations limit the number of paid ticket holders to 3000.The promoter must take in at least $65,000 in ticket sales.Find and graph a system of inequalities describing the different numbers of tickets that can be sold. ​
A) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 72,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ ​ 
B) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 68,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ ​ 
C)​ $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 66,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ 
D) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 73,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ ​ 
E) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 65,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ ​

Quizplus · Accepted Answer

The Answer of For a concert event,there are $30 reserved seat tickets and $20 general admission tickets.There are 2000 reserved seats available,and fire regulations limit the number of paid ticket holders to 3000.The promoter must take in at least $65,000 in ticket sales.Find and graph a system of inequalities describing the different numbers of tickets that can be sold. ​
A) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 72,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ ​ 
B) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 68,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ ​ 
C)​ $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 66,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ 
D) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 73,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ ​ 
E) $$\left\{ \begin{array} { c } x + y \leq 3000 \ 30 x + 20 y \geq 65,000 \ x \leq 2000 \ x \geq 0 \ y \geq 0 \end{array} \right.$$ ​

For a Concert Event,there Are $30 Reserved Seat Tickets and $20