MATH 106 Finite Mathematics Quiz 3 Answers – Homeworkmade

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MATH 106 Quiz 3 Answers 

1. Solve the following system of linear equations using augmented matrix methods:

2. Your electric plant runs on natural gas provided by Galactic Gas, an energy company supplying greater Megalopolis with natural gas. Galactic’s natural gas wells and distribution system are powered by your electricity. The following graphic shows the flow of monthly product output for each energy company (in $ millions) to its consumers and to each other. 

3. Solve the following system of linear equations using augmented matrix methods: 

4. Graph the inequality 4x-5y>10 & show the solution set 

5. Graph the inequality −3 x+ 2y ≤ 30 & show the solution set (Use following grid, if desired) 

6. It takes 4 days for an auto body paint shop to paint and dry a compact sedan, and 5 days to paint and dry a sport-utility vehicle (SUV). There are 28 days for the paint shop to do work before it closes for system upgrade. What combination of sedans and SUVs can be inducted for painting and drying with the guarantee of being finished before the shop closes? 

7. Solve the system graphically (use grid below if desired), show the solution region, and find the coordinates of each corner point: 

8. Solve the system graphically (use grid below if desired), show the solution region, and find  the coordinates of each corner point: 

9. Your cybersecurity firm is submitting a bid for a government contract. For a work shift at the  cyber defense operations center, you determine that: 

• The “computer network defense (CND) analysis” task requires 8 work-hours network monitoring and 2 labor-hours of “active remediation of unauthorized activities”.
• The “CND infrastructure support” task requires 2 work-hours for network monitoring and 1 work-hour for “active remediation of unauthorized activities”. 

The MAXIMUM work-hours specified per shift for network monitoring is 48 and for “active remediation” is 16. If x is the number of CND analysis tasks and y is the number of CND infrastructure support tasks performed per shift:

a. Write a system of linear inequalities indicating appropriate restraints on x and y 

10. An augmented matrix Q is defined as follows: