Question

Must show all work legibly.

(20 pts) Consider the following problem, where the values of C 20 and 220 have not yet been ascertained. Maximize Z=C,X, +C2X, subject to X2+3x258 A(0, 8/3) X1 + X, 54 B(2, 2) and x 20, X220. Use the graphical sensitivity analysis to determine the optimal solution(s) for (x...) for various C(4,0) possible values of c, and cz. When C, and satisfy - the optimal solution is point a 0,5 When C, and C, satisfy , the optimal solution is point B (2, 2). When C, and C, satisfy the optimal solution is point C (4,0). WhenC, and satisfy the optimal solutions are all points on line segment AB. When C, and satisfy , the optimal solutions are all points on line segment BC.

Answer 1

za Z! ТА sou la Rec, 2103 26,1969, 412344 I when A is optimal, we must have a 20,+2C18, 46, 39 cm -(+675462 »C1<244 5) CISCO this when he cal the optimal sot" is A. when B is optimal, we must have 862 226, +222 46, 420, +26 3 29 ( 2e, Gala 3 - 2 2 C SC when % 20, S(2), the optimal sol" is B. * When e s optimal, we have a 8C2 Cuc, 20, +24 2401 3 Casa - C LC when 6.9, the optimal sort & c. * when optimal sot" lies on AB 8 = 26, +262 = ( 2 C/3 71A = 86, Z=86, 21 = 46 [46, 480] C2 C/ प रप

when optimal sof" lie on me 26 +26, 2 49 7 C = C2 A = 81 212 246, 22461 46, 384 Thus id la satsfy 16, 201, then oftimal solu le on all pb of Be