The town councils of Cambridge, Bridgwater and Bath each placed an order with a tree nursery. Cambridge ordered 4 lime trees, 20 plane trees and 12 rowan trees, and the total cost was £1296. Bridgwater ordered 10 lime trees, 6 plane trees and 32 rowan trees, and the total cost was £1746. Bath ordered 8 lime trees, 14 plane trees and 16 rowan trees, and the total cost was £1498. By modelling the problem as a system of three linear simultaneous equations, use matrices to find th

The town councils of Cambridge, Bridgwater and Bath each placed an order with a tree nursery. Cambridge ordered 4 lime trees, 20 plane trees and 12 rowan trees, and the total cost was £1296. Bridgwater ordered 10 lime trees, 6 plane trees and 32 rowan trees, and the total cost was £1746. Bath ordered 8 lime trees, 14 plane trees and 16 rowan trees, and the total cost was £1498. By modelling the problem as a system of three linear simultaneous equations, use matrices to find th

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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Question

The town councils of Cambridge, Bridgwater and Bath each placed an order with a tree nursery. Cambridge ordered 4 lime trees, 20 plane trees and 12 rowan trees, and the total cost was £1296. Bridgwater ordered 10 lime trees, 6 plane trees and 32 rowan trees, and the total cost was £1746. Bath ordered 8 lime trees, 14 plane trees and 16 rowan trees, and the total cost was £1498.

By modelling the problem as a system of three linear simultaneous
equations, use matrices to find the cost per tree of each type of tree.

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