Find the maximum and minimum values of z = 5x + 6y, subject to the following constraints. (S 6x + 8y ≤ 300 15x + 22y ≥ 330 x ≤ 40, y ≤ 21 ΧΣ 0,Υ ΣΟ The maximum value is z = at (x, y) = ( The minimum value is z = at (x, y) =

Find the minimum and maximum values of the function f(x, y) = x²y + x + y subject to the constraint xy = 7. (Give exact answers. Use symbolic notation and fractions where needed. Enter DNE if the extreme value does not exist.) minimum: maximum: Allons

Find the minimum and maximum values of the function ƒ(x, y, z) = x² − y4 – z7 subject to the constraint x² - y² + z = 0. (Use symbolic notation and fractions where needed. Enter DNE if the extreme value does not exist.) minimum: Incorrect maximum: DNE

4 Suppose that f(x, y) = 2x² + 2y¹ − 1xy Then the minimum is