1) Solve the diet problem example from class with CPLEX.

2) Suppose that PowerBars are available.  A PowerBar cost $1.50 and provides 10 milligrams of protein and 30 milligrams of Vitamin C.  It contains no Vitamin A or B.  Modify the mathematical program you used in problem (1) to account for Power Bars and solve it with CPLEX.  What is the new solution? What happens if PowerBars cost $1.00 each?

3) Problem 1 on page 73 of the text book.  Formulate the LP and solve it with CPLEX.

4) Problem 3  on page 73 of the textbook.  Formulate the LP and solve it with CPLEX.

5) Problem 5 on page 76 of the textbook. Formulate and solve with CPLEX.
 

To receive full credit for these problems you must describe what your decision variables and constraints represent.