B is a small privately-owned chain of hairstyling salons particularly targeted at celebrities preparing for special occasions. The owner has determined that operating circumstances require the use of the Miller-Orr cash management model to manage the cash balances of the enterprise. The standard deviation of daily cash balances has been shown to be $5,000, and the owner believes this figure also reflects future balance variability. The enterprise earns an average daily return of 0.3% on its marketable securities and incurs an average brokerage fee of $160 each time it engages in a securities transaction. The owner has determined that it cannot permit the enterprises cash balance to fall below $20,000.

Answer the following questions by filling in the blanks. Give your answers rounded to the nearest whole number in each case.

(a) What is the companys z value?

(b) What is the companys return-to-point?

(c) What is the companys optimum maximum cash balance?

Please give a step-by-step answer and clearly explain the problem solving process.