The economy of Northern Saskatchewan is in equilibrium when the system of equations 2xz + xy + z – 2z = 11 xyz = 6 is satisfied. One solution of this set of equations is x = Northern Saskatchewan is in equilibrium at this point. Suppose that the prime minister discovers that the variable z (output of beaver pelts) can be conrolled by simple decree. a) If the prime minister raises z to 1.1, use calculus to estimate the change in x and 3, у %3D 2,2 %3D1, and у. b) If x were in the control of the prime minister and not y or z, explain why you cannot use this method to estimate the effect of reducing x from 3 to 2.95.

The economy of Northern Saskatchewan is in equilibrium when the system of equations 2xz + xy + z – 2z = 11 xyz = 6 is satisfied. One solution of this set of equations is x = Northern Saskatchewan is in equilibrium at this point. Suppose that the prime minister discovers that the variable z (output of beaver pelts) can be conrolled by simple decree. a) If the prime minister raises z to 1.1, use calculus to estimate the change in x and 3, у %3D 2,2 %3D1, and у. b) If x were in the control of the prime minister and not y or z, explain why you cannot use this method to estimate the effect of reducing x from 3 to 2.95.

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

15.21 The economy of Northern Saskatchewan is in equilibrium when the system of
equations
2xz + xy + z – 2/z = 11
xyz
is satisfied. One solution of this set of equations is x = 3, y = 2, z = 1, and
Northern Saskatchewan is in equilibrium at this point. Suppose that the prime
minister discovers that the variable z (output of beaver pelts) can be conrolled by
simple decree.
a) If the prime minister raises z to 1.1, use calculus to estimate the change in x and
у.
b) If x were in the control of the prime minister and not y or z, explain why you
cannot use this method to estimate the effect of reducing x from 3 to 2.95.

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