Im not sure on how to do this question: "We’ve decided to introduce a top-range VR headset..."

danydash

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I cant seem to wrap my head around this question, can anyone help me out with working shown so i can get a full understanding. Thanks.

"Afternoon. We’ve decided to introduce new product, to be produced in the same factory where we currently produce the VR headset. It’s a top of the range Steering Wheel that can be used to add a level of authenticity to driving games. I’d like you to work out how best we can make use of our resources within the factory. Typically there are two processes involved – assembly of the products, and quality control. It takes 8 hours to produce a VR headset and 4 hours to produce a steering wheel. Once assembled, it takes 4 hours to test a VR headset and 3 hours to test a steering wheel. We have a total of 2000 person hours available for production and 1200 person hours available for testing. How many of each should we produce, in order to be most efficient with our time?"
 
I cant seem to wrap my head around this question, can anyone help me out with working shown so i can get a full understanding. Thanks.

"Afternoon. We’ve decided to introduce new product, to be produced in the same factory where we currently produce the VR headset. It’s a top of the range Steering Wheel that can be used to add a level of authenticity to driving games. I’d like you to work out how best we can make use of our resources within the factory. Typically there are two processes involved – assembly of the products, and quality control. It takes 8 hours to produce a VR headset and 4 hours to produce a steering wheel. Once assembled, it takes 4 hours to test a VR headset and 3 hours to test a steering wheel. We have a total of 2000 person hours available for production and 1200 person hours available for testing. How many of each should we produce, in order to be most efficient with our time?"
Start with naming the "finds" of the problem

Let

the # of headset to be produced = H

the #of steering wheel to be produced = W

Then

hours to produce = 8*H + 4*W ≤ 2000

hours to test = 4*H + 3*W ≤ 1200

Continue.....
 
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