Lee Wilson
08/12/2023 · High School

A local high school needs to hire several cafeteria workers and bus drivers. Cafeteria workers earn R13 800 per month and bus drivers earn R17 250 per month. The school board gave the school permission to spend no more than R345 000 on the salaries per month, but the school must hire more than 15 people. For every bus driver hired, at least two cafeteria workers must be hired. The number of cafeteria workers must at most be three more than twice the number of bus drivers. Write a system of linear inequalities that the school could use to determine the number of cafeteria workers (C) and bus drivers (B) they can hire.

UpStudy ThothAI Solution

Tutor-Verified Answer

Quick Answer

The system of linear inequalities is: \[ \begin{align*} 1. & \quad 13800C + 17250B \leq 345000 \\ 2. & \quad C + B > 15 \\ 3. & \quad C \geq 2B \\ 4. & \quad C \leq 2B + 3 \\ \end{align*} \]

Step-by-step Solution

Elevate Your Learning
Unlock full answers and more with UpStudy Premium
Get AI Assistant
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text

Enter your question here…

By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
📸 STUDY CAN BE A REAL STRUGGLE
Why Not UpStudy It?
Select your plan below
Premium

You can enjoy

  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to answer and
    solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic
  • Limited Solutions