RHS 9 Maximize z 10 Subject to 2x + 3)12 x+y= 0 15 16 17 Answer Answer Optimal O
ID: 3359668 • Letter: R
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RHS 9 Maximize z 10 Subject to 2x + 3)12 x+y= 0 15 16 17 Answer Answer Optimal Optimal K Optimal Question 1.1 Define a) the feasible region, b) the coordinates of each corner point, and c) the z-value at each corner poi 19 21 Fill-out the missing values z-value 23 24 25 26 27 28 29 (5,0) 3.3333 0 0515 2 25 33.5 y =-0.6667x + 4 45 5 55 6 The Feasible Region is: Figure 1. Feasible region of Question 1 Question 1.2 Estimate corner point B (1,3,3333) by solving the corresponding constraint equations Show your work here 31 32 Question 1.3 Sensitivity Analysis-Find the range of the z-coefficients Max 35 36 37 38 39 z-coef. S1 S1(x z-coef. S2 S2 Show y r calculations here for S1 and S2 and the final answers in the box above: Question 1.4 Sensitivity Analysis -show the range of the binding constraints (use any method you like) b, c, d? Min Max 41 42 43 Constraint Constraint Question 1.5 we are given that x = 2.0 Find the corresponding optimal value of y 45Explanation / Answer
White region is the feasible reagion. corner points are (1,0), (1,3.3333),(3,2),(5,0)
As one of the corner points will be the optimal solution as feasible region is a convex set.
30
as this is the maximization problem (1,3.3333) and (3,2) both are optimal points.
Z(1,0) 6 Z(1,3.3333) 36 Z(3,2) 36 Z(5,0)30
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