A transport company uses three types of tracks T1, T2 and T3 to transport three types of vehicles V1, V2 and V3. The carrying capacity of each truck in terms of the three types of vehicles is given below: V1V2V3T1132T2223T3322 Using the matrix inverse method, find the number of trucks of each type required to transport 85, 105 and 110 vehicles of V1, V2 and V3 types respectively.

Let the column vector T=T1T2T3 denotes the number of trucks of each type , A=132223322, b=85105110…

Answered: A transport company uses three types of…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A transport company uses three types of tracks T₁, T₂ and T₃ to transport three types of vehicles V₁, V₂ and V₃. The carrying capacity of each truck in terms of the three types of vehicles is given below:

	V₁	V₂	V₃
T₁	1	3	2
T₂	2	2	3
T₃	3	2	2

Using the matrix inverse method, find the number of trucks of each type required to transport 85, 105 and 110 vehicles of V₁, V₂ and V₃ types respectively.

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