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Video One, a Blu-ray disc player manufacture, produces two model of Blu-ray players. The mini-blue,

which can only play a Blu-ray disc and the media-blue that plays Blu-ray disc and contains a
personal DVR. The players are assembled on two different assembly lines. Line 1 can assemble 2
units of the mini-blue model and 12 units of the media-blue model per hours, and Line 2 can
assemble 5 units of the mini-blue model and 5 units of the media-blue model per hours. The
company needs to produce at least 20 units of the mini-blue model and 70 units of the media-blue
model to fill an order.
Let x = the number of hours for Line 1
Let y = the number of hours for Line 2.
Write the system of inequalities that represents the minimum number of Blu-ray disc player that
need to be produced to fill the order.

User Yttrium
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2 Answers

17 votes
17 votes

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

User Jasdeep
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17 votes
17 votes

Answer:

This question is very big, you should shorten your question a bit so that I can answer it quickly, the rest is just that I did not understand the question a bit

User Pishameni
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