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 {x+y≤300030x+20y≥72,000x≤2000x≥0y≥0\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.⎩⎨⎧​x+y≤300030x+20y≥72,000x≤2000x≥0y≥0​

For a Concert Event, There Are $30 Reserved Seat Tickets $\left\{ \begin{array} { c } x + y \leq 3000 \\30 x + 20 y \geq 72,000 \\x \leq 2000 \\x \geq 0 \\y \geq 0\end{array} \right.$