Question: The law firm 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:

Month Casework (hr.) Month Casework(hr.)

Jan 650 Jul 750

Feb 450 Aug 900

Mar 600 Sept 800

Apr 500 Oct 650

May 700 Nov 700

Jun 650 Dec 500

In problem 51 the optimal solution results in a fractional (i.e., non-integer) number of lawyers being hired. Explain how you would go about logically determining a new solution with a whole (integer) number of lawyers being hired and discuss the difference in results between this new solution and the optimal non-integer solution obtained in problem 51.

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