AAA is a small privately-owned chain of hairstyling salons.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 enterprise's 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 company's "z" value?

(b) What is the company's "return-to-point"?

(c) What is the company's optimum maximum cash balance?

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