A company has two plants that produce three goods. Its labor resources are constant, and when a fraction t of these labor resources is assigned to the first plant and the rest to the second, the total output of the three goods is given by the convex combination. (a) X1 X2 10020 X3, Determine which of the following demand vectors the company is able to supply, explaining what the allocation of labor resources in each case would be. 2 =t|1| + (1 – t) 5 coco cr ] IN, (d) 14 H [11] 3 0

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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A company has two plants that produce three goods. Its labor resources are constant, and when a
fraction t of these labor resources is assigned to the first plant and the rest to the second, the total
output of the three goods is given by the convex combination.
(a)
Determine which of the following demand vectors the company is able to supply, explaining what
the allocation of labor resources in each case would be.
100 10
X1
X2
X3
[5]
=t|1| + (1 – t) 5
PÅ
[6]
[31]
(b) 3
(c)
H
(d)
14
3
0
Transcribed Image Text:A company has two plants that produce three goods. Its labor resources are constant, and when a fraction t of these labor resources is assigned to the first plant and the rest to the second, the total output of the three goods is given by the convex combination. (a) Determine which of the following demand vectors the company is able to supply, explaining what the allocation of labor resources in each case would be. 100 10 X1 X2 X3 [5] =t|1| + (1 – t) 5 PÅ [6] [31] (b) 3 (c) H (d) 14 3 0
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