Maximize z = 25x + 40y The constraints are: 6x + 4y ≤ 24 6x + 3y ≤ 22.5 x + y ≤ 5 x + 2y ≤ 6 -x + y ≤ 1 y ≤ 2 x, y ≥ 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)

Need only a handwritten solution only (not a typed one).

Find the minimum and maximum values of z = 2x + 3y, if possible, for the following set of constraints. x+y≤9 -x+y≤3 2x-y≤ 12 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The minimum value is B. There is no minimum value. (Round to the nearest tenth as needed.) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The maximum value is B. There is no maximum value. . (Round to the nearest tenth as needed.)