Minimize 4x" + 2y", subject to the constraint 144 - 4x - 2y = 0. Identify the function f(x,y) and the constraint g(x,y). f(X,y) = 4x + 2y2 g(x,y) = 144 - 4x - 2y The minimum value of the function is (Type an exact answer in simplified form.)Find all points (x,y) where f(x,y) = x - 4xy + + 9 has a possible relative maximum or minimum. . . . UA vy of of O B. At points (a,b) where ay (a,b) 0 and ay (a,b) > o of of O D. At points (a,b) where (a,b) = 1 and (a,b) = 1 The first step is to compute the first partial derivatives of f(x,y). To find differentiate f(x,y) with respect to x, whil treating y as a constant. of ax (X, y) =Question 10, 7.4.31-BE HW Score: 57.92%, 5.79 of 10 points $3 Part1 of 3 0 Points: 0 of 1 A 200 supplier is building a glass-walled terrarium whose interior volume is to be 540 ft3. Material costs per square foot are estimated as shown below. Walls: $2.00 Floor: $5.00 Ceiling: $5.00 What dimensions of the terrarium will minimize the total cost? (Referring to the figure on the right. the cost will be 4x2 + 4yz + loxy.) x = ft (Type an exact answer in simplied form.)