Jan's Dry Cleaning holds $10,000 on a typical day, although only $2,000 is essential for carrying out business. Making a midday deposit is estimated to reduce cash holdings to $8,000, but would cost an extra $80 per year in lost production. Jan’s can reduce cash holdings to $6,000 if it hires an armored car service to pick up cash more frequently for a fee of $120 per year. Employing a computerized cash management service for an annual fee of $180 would reduce cash holdings to $4,000. Jan’s plans on purchasing government bonds paying a 5% interest rate with any cash holding reductions. What is Jan’s optimal money holding?
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