Final answer:
The system of inequalities that represents the minimum number of Blu-ray disc players needed to fill the order is: 2x ≥ 20 and 12x + 5y ≥ 70.
Step-by-step explanation:
To write the system of inequalities that represents the minimum number of Blu-ray disc players needed to fill the order, we can use the given information about the production rates on each assembly line.
Let x = the number of hours for Line 1
Let y = the number of hours for Line 2.
The minimum number of mini-blue players that need to be produced is 20, so we can write the inequality 2x ≥ 20. Similarly, the minimum number of media-blue players that need to be produced is 70, so we can write the inequality 12x + 5y ≥ 70.
Therefore, the system of inequalities that represents the minimum number of Blu-ray disc players needed to fill the order is:
2x ≥ 20
12x + 5y ≥ 70