Effort allocation linear programming

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Effort Allocation Linear Programming

Arthur and Son P.A. is an auditing firm that conducts both financial and operational audits. Arthur can conduct 90 financial audits (FAs) per year if he spends full time on just FAs or 180 operational audits (OAs) per year full time or any linear combination of both. Son processes the reports made by Arthur. Son can prepare 180 FAs or 150 OAs per year or any linear combination thereof. The office staff finalizes the reports submitted by Son. They can handle no more than 160 reports of any kind per year.

Arthur and Son have calculated that to keep their association solvent, they must produce at least 30 FAs and 50 OAs each year. The profit from each FA has averaged $720 in the past and $650 for each OA. How many FAs and OAs should Arthur and Son attempt to conduct each year to maximize their firm’s profits?

Reference no: EM132239735

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