So, the optimal point is located at x = 9/5, y = -1/5, with λ = 8/5, and f(x, y) = 4. give these in 3dp

Use the method of Lagrange Multipliers to optimise the function f (x, y) = x2 + y2 − 3xy subject to the constraint x − 4y = 7. Find the location of the optimal point, the value of λ and the value of f (x, y) at this point. Note: In the quiz, enter non-integer numerical values as decimals to at least 3 decimal places; i.e. you will need to fill in some boxes similar to the following: The optimal point is located at x = and y = with λ = and f (x, y) =

Find the value(s) of the function on the given feasible region.Find the minimum of

(b) Locate any relative extreme points. (If an answer does not exist, enter DNE.) relative maximum (x, y) = relative minimum (x, y) =

[5 marks] Locate all relative maxima, relative minima and saddle points of thefunction f (x, y) = xy − x3 − y2.

For an optimisation problem, a point is a global optimum if there are no other feasible points with a better objective function value.Group of answer choicesTrueFalse