PLEASE DO NOT USE EXCEL JUST THE WRITTEN OUT VERSION

Profits (1000s)

Lawyer A B C

Lui 36 53 101

Pathak 39 54 105

Owens 43 50 103

Rosen 42 54 104

Millier 45 57 101

To keep lawyers available for future cases, Smith and Jones policy is to assign at most 1 lawyer to each specific case. To better serve its clients, Smith and Jones policy is to assign each specific lawyer to at most one case at a time. Using x_ijs as your decision variables, formulate a linear programming model so that Smith and Joness can determine which lawyers should be assigned to which cases in order to maximize the firms profits while adhering to its policies and the following other restrictions.

• Rosen must be assigned to a case
• Millier cannot be assigned to case B
• Owens must be assigned to case