Question

1. Use the following table to determine the two numbers a and b that you will be using throughout this assessment. (a) Write your name as it appears on Banner: Name: Laith Diab First name starts with: AF G-L M-Q R-Z a 2 3 4 5 Last name starts with: A-F GL M-Q R-Z b= 6 7 8 9 (b) Using the table above, fill in your values for a and b and let c=a.b: 3 6 18 b= a= C 2. Consider the following linear programming problem: maximize W = -x - 2y + 10z subject to bx + ay + cz <c x>0, y > 0,20 Plug your values in for a, b and c into the linear programming problem above and fi in your results below. This is the linear programming problem you will solve in the performance assessment. maximize subject to w = -x - 2y + 10z 6x+ 2 + 3y+18 2 318 x>0, y > 0,20

Answer 1

Kindly go through the solution provided below.

2) LP problem: max. WE x-2y + 1oz St. 6 x + 3y +18 2 < 18 OY 2x + y + 6z ? 6 920 for w20, ,zzo as shown We can plot the feasible region B (0,0,1) [0,0, V(0,6,0) A(3,0,0). We know that the optimal solution occurs at the extreme pomts. (0,4,B,C) At point o: W = 0 At point A: At point B : 10 (max) At point c: -3 E El E E W = -12 Optimal solution occurs at B (0,0,1) - 10 4 ) We can also solve this problem using Simplex method z-vow least negative value in the OC ฯ Z si لا Rins N. 1 فع 10 0 1 O R, S 6 3 18 1 0 18 Rz Entering variable : z ; Leaving variable: s, Slack variable row Using transformation(s) : R₂/18 R, ER, + lo R RZE X = y=5,= 0 we lo - لا | get and ſ=1