Maximize z = 3x + 4y subject to the following constraints. 2х + y s 4 -x + 2y < 4 X 2 0 y > 0 Enter -1 if there is no maximum.

Maximize z = 4x1 + 17x2, subject to 4x1 + 5x2 ≤ 15 3x1 + X2 ≤ 30 X1 ≥ 0, X2 ≥ 0. X1 X2 $1 52 Z 4 5 1 0 0 15 3 1 0 1 0 30 -4 -17 0 0 1 0

A cylindrical tank with a closed top is to be constructed to hold a fixed volume of 16, 0007 m³. Find he dimensions of the tank (radius r and height h) with the smallest possible total surface area. ou must justify your answer really does give the minimum surface area. constraint equation in terms of r and h: objective function in terms of r: dimensions of optimal tank (in meters): radius (r) Allqmie height (h)

Minimise x2+y−2xyx2+y−2xy subject to the constraint y=1