The financial manager of JAC Cosmetics is considering opening a lockbox in Pittsburgh. Checks cleared through the lockbox will amount to $18,000 per day. The lockbox will make cash available to the company three days earlier than is currently the case. Suppose that the bank offers to run the lockbox for a $30,000 compensating balance, answer the following: a-1. Calculate the additional available cash generated by the lock-box system. a-2. Is the lockbox worthwhile? b. Suppose that the bank offers to run the lockbox for a fee of $0.18 per check cleared instead of a compensating balance. Assume a interest rate of 6% per year. What must the average check size be for the fee alternative to be less costly? Use a 365-day year. Complete this question by entering your answers in the tabs below. Calculate the additional available cash generated by the lock-box system. Complete this question by entering your answers in the tabs below. Is the lockbox worthwhile? Complete this question by entering your answers in the tabs below. Suppose that the bank offers to run the lockbox for a fee of $0.18 per check cleared instead of a compensating balance. Assume an interest rate of 6% per year. What must the average check size be for the fee alternative to be less costly? Use a 365-day year. Note: Round your answer to the nearest whole number