A mountain bike manufacturer produces two different bike models in one workshop: A cross
country bike (x) and a downhill bike (y). Each type of bike must be processed through three
stages: component manufacture, assembly and finishing (painting and polishing and so on)
The company needs to decide how to allocate their resources to maximize their profit based
on the following constraints:
1. Each cross-country bike (x) requires five hours work in the component manufacture
and four hours in the assembly workshop.
2. Each downhill bike (y) requires ten hours in the component manufacture and six
hours in the assembly workshop.
3. Each bike takes one hour in the finishing workshop.
4. The component manufacture, assembly and finishing workshop are available for
165, 120 and 28 hours per week, respectively.
5. The profit from each cross-country bike (x) is $600 and from each downhill bike (y)
is $750
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Answer:
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Step-by-step explanation:
- A mountain bike (MTB[1]) or mountain bicycle is a bicycle designed for off-road cycling.
- Mountain bikes share some similarities with other bicycles, but incorporate features designed to enhance durability and performance in rough terrain, which makes them heavy.
- These typically include a suspension fork, large knobby tires, more durable wheels, more powerful brakes, straight, extra wide handlebars to improve balance and comfort over rough terrain, lower gear-ratios for climbing steep grades and sometimes rear suspension to really smooth out the trail as well as dropper-posts to quickly adjust the seat height.
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