Question 2 Develop a GAMS code to solve the golf bags optimization problem: max10S+9Ds.t.7/10S+D6301/2S+5/6600S+2/3D7081/10S+1/4D135S,D0 1. Submit your GAMS code (only for the original case 1). Case 1: No changes in Parameters: 2. Determine the optimal solution S, D, OFV (compare it with the graphical solution found in Lecture 3). 3. Find the shadow price of the first constraint, and explain the results. (compare it with the shadow price of same constraint found in Lecture 3). Case 2: Changing Objective Function Coefficients: 4. Re-solve the problem with changing the S and D coefficients in objective function to 13 and 14 , respectively (within the allowable range). Then find the solution of optimization problem S,D, OFV and compare it with results in step 2 above. 5. Re-solve the problem with changing the S and D coefficient in objective function to 16 and 17 , respectively (outside the allowable range). Then find the solution of optimization problem S,D. OFV and compare it with results in step 2 and step 4 above. Case 3: Changing RHS of a Constraint: 6. Re-solve the problem with changing the RHS of first constraint to 682 (within allowable range). Then find how much is the shadow price of the constraint. 7. Re-solve the problem with changing the RHS of first constraint to 700 (exceeding the upper bound limit of RHS). Then find how much is the new shadow price of the constraint