N is a tuxedo rental company for the most high-end occasions. The business owner has determined that its operating circumstances are quite suitable for use of the Baumol-Tobin cash management model. The business consistently earns an annual rate of return of 3.2% on its marketable securities and requires a total of $10,000,000 in cash each year to maintain its level of operations. Transactions costs are $100 each time it is necessary to liquidate marketable securities. Assume a 365-day year.

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

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

(a) What is the companys optimum cash order quantity?

(b) What is the optimum number of securities liquidations for cash per year?

(c) What is the optimum number of days between orders for cash?

(d) What is the minimum total cost associated with obtaining and maintaining cash balances?