Solve Beaver Creek Pottery Company problem (in Ch. 2). Maximize Z = $40x1 + $50x2 subject to 1x1 + 2x2 < 40 4x1 + 3x2 < 120 X1, X2 20

Find the minimum of the function f(x) = x³ – 5x³ – 13x + 4 using quadratic interpolation. Use x0 = 0, x1 = 2, x2 = 4 as an initial quess. Tip: Make table with x0,x1,x2,x3, f (x0),ƒ (x1), f(x2),f(x3). Remove the worst quess from these and arrange 20,x1,x2 values in ascending order then conducts iteration ie. calculate new x3 and f (x3) iterate again until you get two same į values with for example five decimal points. Insert the numerical value of minium value for f(x) here f_x = -30.176 Verify your answer here fi = -30.176

4. Determine the x-intercepts, the vertex, the direction of opening, and the domain and range of the quadratic function y = (x + 6)(2x – 5)