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 and cost an extra $80 per year in lost production. if, in addition, an armored car service is engaged to pick up cash more frequently for a fee of $120 per year, cash holdings will be further reduced to $6,000 per day. employing a computerized cash management service for an annual fee of $180 would reduce cash holdings further to $4,000. if any reduction in cash holdings will be invested in government bonds earning 10 percent, then how much money should jan's hold?