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

Question 32

Multiple Choice

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) {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. ​ 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. ​
B) {x+y≤300030x+20y≥68,000x≤2000x≥0y≥0\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. ​ 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. ​
C) ​ {x+y≤300030x+20y≥66,000x≤2000x≥0y≥0\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. 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. ​
D) {x+y≤300030x+20y≥73,000x≤2000x≥0y≥0\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. ​ 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. ​
E) {x+y≤300030x+20y≥65,000x≤2000x≥0y≥0\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 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. ​

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