Video One, a Blu-ray disc player manufacturer, produces two models 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 11 units of the media-blue model per hour, and Line 2 can assemble 4 units of the mini-blue model and 8 units of the media-blue model per hour. The company needs to produce at least 32 units of the mini-blue model and 120 units of the media-blue model to fill an order. Let x = the number of hours for Line 1 to operate.
Video One, a Blu-ray disc player manufacturer, produces two models 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 11 units of the media-blue model per hour, and Line 2 can assemble 4 units of the mini-blue model and 8 units of the media-blue model per hour. The company needs to produce at least 32 units of the mini-blue model and 120 units of the media-blue model to fill an order. Let x = the number of hours for Line 1 to operate.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Transcribed Image Text:Video One, a Blu-ray disc player manufacturer, produces two models 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 11 units of the media-blue model per hour, and Line 2 can
assemble 4 units of the mini-blue model and 8 units of the media-blue model per hour. The
company needs to produce at least 32 units of the mini-blue model and 120 units of the media-blue
model to fill an order.
Let x = the number of hours for Line 1 to operate.
Let y = the number of hours for Line 2 to operate.
Write the system of inequalities:
Mini-blue:
> 32
Media-blue:
> 120
Graph the feasible region for this system of inequalities.
Note: To get the correct feasible region, you need to also include the non-negative constraints on
your graph (x > 0 and y > 0). These will give you boundary lines on the x-axis and y-axis.
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