The law firm of Smith, Smith, Smith, and Jones is recruiting at law schools for new lawyers for the coming year. The firm has developed the following estimate of the number of hours of casework it will need its new lawyers to handle each month for the following year:

Each new lawyer the firm hires is expected to handle 150 hours per month of casework and to work all year. All casework must be completed by the end of the year. The firm wants to know how many new lawyers it should hire for the year.
a. Formulate a linear programming model for this problem.
b. Solve this model by using thecomputer.

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Month Casework (hr) Month Casework (hr.) January February March April May June 650 450 600 500 700 650 July August September October November December 750 900 800 650 700 500