In: Math
Consider the following.
optimize f(t, w) = 5t − t2 + 2w − w2 |
subject to g(t, w) = 2t + w = 14 |
(a) Write the Lagrange system of partial derivative equations. (Enter your answers as a comma-separated list of equations. Use λ to represent the Lagrange multiplier.)
(b) Locate the optimal point of the constrained system.
(t, w, f(t, w)) =
(c) Identify the optimal point as either a maximum p
finding partial derivatives:
Writing Lagranges system of partial derivative equation:
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Putting equatin (2) in (1):
putting this in equation g(t,w):
This point is minima.
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