3) A motorcycle factory manufactures three kinds of motorcycles. Dirt bikes are
ID: 3195150 • Letter: 3
Question
3) A motorcycle factory manufactures three kinds of motorcycles. Dirt bikes are high-powered by lightweight emphasizing off-road performance. Cruisers have medium power but are heavier to ensure a smoother ride. & Choppers have high power, specialized parts and an elaborate paint job to reflect the individual personality of the owner. Manufacture of motorcycles consists of three stages. Fabrication, in which the parts needed to build the motorcycle are created. Paint and finish, in which paint and other finishes (e.g. chrome) are applied to the parts. Assembly, in which the parts are put together to create the motorcycle. * * * A dirt bike requires 100 hours of fabrication, 4 hours of painting and 8 hours of assembly. A cruiser requires 80 hours of fabrication, 6 hours of painting and 10 hours of assembly.Explanation / Answer
a) dirt bike - x
cruiser -y
choppers - z
max Z = 1000x + 1500y + 5000z
100x + 80y + 160z <= 1400
4x + 6y + 20z <= 120
8x + 10y + 15z <= 260
b)
Tableau #1
x y z s1 s2 s3 z
100 80 160 1 0 0 0 1400
4 6 20 0 1 0 0 120
8 10 15 0 0 1 0 260
-1000 -1500 -5000 0 0 0 1 0
Tableau #2
x y z s1 s2 s3 z
68 32 0 1 -8 0 0 440
0.2 0.3 1 0 0.05 0 0 6
5 5.5 0 0 -0.75 1 0 170
0 0 0 0 250 0 1 30000
Optimal Solution: z = 30000; x = 0, y = 0, z = 6
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