Dr. S. Morgan Slack and Surplus Variables Standard Form - an LP that is written in Slack variables are added to the LP Formulation to make the constraint equal to the for a or Slack variables represent Recall the Crumb and Custard Bakery Problem Max z = 1x1 + 5x2 st. 5x1 + 5x2 S 25 2x + 4x2 S 16 1x1 + 0x2 55 X1, x220 The Crumb and Custard Bakery Problem in Standard Form is as follows Max z = 1x1 + 5x2 + s.t. 5x1 + 5x2 -25 2x + 4x2 + = 16 1x + 0x2 + = 5 X1, X2 20 The optimal solution to the graphical solution of the Crumb & Custard Bakery Problem is below. 15 Max 2 = 1x, + 5x s.t. 5x, 5x, 525 2x, +4x, S16 3.3 . 1x 3 z = 20 1 Ey 5 2 = 10 2 15 1 Z=5 0.5 0 2 ---- Solve for values of the slack variables by substituting the optimal solution into the standard form model Max z-1x + 5x + Os + Os + Os 1 2 1 2 3 st. 50 )+5( ) + 1 = 25 (Amt of flour) 21 ) +40 ) + 1s = 16 (Amt of sugar) 10 ) + ( ) + 1s = 5 (Demand for coffee cakes) X1, X2, S1, S2, S3 20 2 Show the algebra steps to get the values of si, s2, and s3. Attach an additional sheet if necessary to show this work. S1 - S2 = S3