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

question 82

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) \(\left\{ \begin{array} { c } x + y \leq 3000 \\ 30 x + 20 y \geq 72,000 \\ x \leq 2000 \\ x \geq 0 \\ y \geq 0 \end{array} \right.\)
• 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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Definitions:

Fiber

A type of medium or Internet connection that carries data using light.

Coaxial

A type of cabling used in video connections that has a copper core surrounded by insulation and shielding to protect against EMI.

STP (Shielded Twisted Pair)

Network cable with extra foil to prevent outside noise from interfering with data on the cable.

Loopback Plug

A device used to test the ports of a computer by plugging it into a port and sending signals through it, verifying the operation and responsiveness of the port by looping the signal back to the source.