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