Question

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 3 units of the mini-blue model and 13 units of the media-blue model per hours, and Line 2 can assemble 4 units of the mini-blue model and 4 units of the media-blue model per hours. The company needs to produce at least 24 units of the mini-blue model and 64 units of the media-blue model to fill an order.Letx= the number of hours for Line 1Lety= the number of hours for Line 2.Write the system of inequalities≥24≥64Graph the system of inequalities.

Answer 1

The question is an illustration of inequalities and equation.

The system of inequalities are: $\mathbf{3x + 4y \ge 24}$ and $\mathbf{13x + 4y = 64}$

Represent the number of hours for lines 1 and 2 with x and y.

So, we have:

Minibus

Line 1 = 3

Line 2 = 4

Total: At least 24

Media-blue

Line 1 = 13

Line 2 = 4

Total = 64

At least means greater than or equal to.

So, the system of inequalities are:

$\mathbf{3x + 4y \ge 24}$

$\mathbf{13x + 4y = 64}$

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