operation Research

a) Is this an optimal solution? If so, what is the optimal solution (values of X1,X2,X3 and z)? If not, why? tes, (7.4,5.2,4.6) and z=502.0 b) What are the optimal values of all slack variables? c) What are the shadow prices for all four constraints? (2,14,21,0) d) What is the interpretation of the RHS value for X7 and how does it relate to its shadow price? How are they connected? Question 4 ( 20 points) Considering the same problem as Question 3, please identify which if the following are sensitive parameters. Please explain your answer. a) Is the coefficient b4 a sensitive parameter of this problem? ( b4=50 originally) b) Is the coefficient b2 a sensitive parameter of this problem? ( b2=15 originally) c) Is the coefficient a1.2 a sensitive parameter of this problem? ( a1.2=2 originally) d) Is the coefficient a4.1 a sensitive parameter of this problem? ( a4.1=1 originally)