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2. Sweetice plc. is an ice-cream producer in the UK. From October until March, the company's monthly cash inflows are limited, while their respective cash outflows remain relatively high. Specifically, they have to pay 120,000 each month in operating expenses, while they are only receiving 80,000. The managing director has decided that it is more profitable to sell short-term financial assets during this period than hold up large amounts of cash, where the cost of each transaction of selling these assets is 200. The interest rate foregone (for the 6-month period) is 4%, while the beginning cash balance is 120,000. Required: a. What is the optimal cash balance for Sweetice for the 6-month period? b. How many times does the company need cash replenishment during these 6 months