Question: An automatic teller machine (ATM) is being installed at a branch of MetroBank. From the bank's research, it figures to indirectly benefit from offering this

An automatic teller machine (ATM) is being installed at a branch of MetroBank. From the bank's research, it figures to indirectly benefit from offering this service. Estimates are that the bank will generate revenues at the rate of 1 percent of the money passed through the machine in the form of new customer accounts for checking services, loans, savings accounts, and the like. The average withdrawal from the teller machine is $75, and the bank figures its cost of money to be 10 percent per year.
Stocking the machine for the two-day weekend is its most difficult planning problem. From historical records for other ATMs, the bank estimates the average number of withdrawals to be 120 with a standard deviation of 20, with the being normal.
How much money should the bank stock in the machine for the weekend?

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