Question 1: City Farm Insurance has collection centers across the country to speed up collections. The company also makes its disbursements from remote disbursement centers so checks written by City Farm take longer to clear the bank. Collection time has been reduced by two and disbursement time increased by one day because of these policies. Excess funds are being invested in short-term instruments yielding 12 percent per annum.
a. If City Farm has $5 million per day in collections and $3 million per day in disbursements, how many dollars has the cash management system freed up?
b. How much can City Farm earn in dollars per year on short-term investments made possible by the freed-up cash?
Question 2: Nowlin Pipe & Steel has projected sales of 72,000 pipes this year, an ordering cost of $6 per order, and carrying costs of $2.40 per pipe.
a. What is the economic ordering quantity?
b. How many orders will be placed during the year?
c. What will the average inventory be?