Zmax = 5X1 + 3X2 + 4X3
b1: X1 + 3X3 <= 30
b2: 2X2 + X3 >= 15
b3: 3X1 + 2X2 <= 10
1) Linear & Integer Programming
2) Create a new data set
Title: STORM Exercise 1 your name
Number of variables: 3
Number of constraints: 3
Starting solution given: no
Objective type (MAX/MIN): MA
Ready to go on to detailed data?
Three column labels: VAR 1, 2, 3 to X1, X2, X3
Three row labels: CONSTR 1, 2, 3 to b1, b2, b3
the following in the OBJ COEFF row:
(See the objective function above in order to understand these values.)
the values in the b1 row:
b1: X1: 1 X2: 0 X3: 3 RHS: 30
(See the constraints above in order to understand these values.)
Enter the values in the other two rows:
This is nonnegativity. Keep as POS (the default value).
4) Execute the module
1) Go to the optimal solution
2) Detailed report
a) What are the BASIC variables in the optimal solution?
b) What are the values of each of these variables?
c) What is the profit?
d) So what is the optimal solution … in plain English?
<Enter> to get to next screen
e) What does “shadow price” mean?
Hint: Go back to the data entry screen and change the value of b1 from 30 to 31. Execute the model.
Go to the optimal solution.
What has changed? Why? This should help explain what a “shadow price” is.
Save the file:
Get to the original screen and Choose:
2) Save the current data set on your disk.
Type in a filename
NOW TRY …
Enter the values from assignment #2 (handout #3) – then you’ll have your answers for this homework assignment!