1. Martin Company uses Miller-Orr model to manage its cash, using a money-market fund and a checking account. Martin keeps a minimum balance of $5000 in the checking account. The checking account pays no interest, but the money market pays 5% interest per annum. Martin has found the standard deviation of the cash flows to be $5120 per week. The cost of transferring the funds between the accounts is $125 per transfer. Assume that a year has 52 weeks. Find the following: (A) The average checking account balance. (B) The interest forgone in a year. 2.Pace Company has borrowed $60,000 from PNC Bank. To repay the loan, it will make two payments, each one $31,000, at the end of 30 days and 60 days. Find the cost of this short-term financing for Pace. 3. James Corporation is considering the credit application of a customer. The customer is expected to buy $5000 worth of material from James every month in future, and pay for it within a month. There is a 20% probability that the customer may default on his monthly payment. If that happens, then James will not be able to recover anything from the customer. The cost of capital to James is 12%. The cost of goods to James is 80% of its sales. Find the following: (A) The value of this customer to James. (B) Decide if he should get credit. 4. First National Bank has a credit card department. The average cardholder charges $600 a month, and pays off the entire balance 60 days after the purchase. The cardholders do not pay any interest, but they do pay $25 membership fee, in advance, every year. The cost of capital to the bank is 6%. The bank collects 1% merchant fee on all sales. Find the following: (A) The value of one credit card to the bank. (B) Decide if it is a profitable operation. 5.Fuller Ice Cream Company buys 73,000 gallons of milk annually. Due to state regulations, it cannot store the milk for more than 8 days. Find the optimal size of its milk storage tank. The price of milk is $3 per gallon, and the cost of capital for Fuller is 11%. The ordering cost is $200 per order. The storage cost of milk is $10 a gallon per year, based on maximum inventory. Does your answer comply with state regulations