The lock box department at Bank 21 handles the processing of monthly loan payments to the bank, monthly and quarterly premium payments to a local insurance company, and bill payments for 85 of the bank's largest commercial customers. The payments are processed by machine operators, with one operator per machine. An operator can process one payment in 0.25 minute. Setup times are negligible in this situation. A capacity cushion of 20 percent is needed for the operation. The average monthly (not annual) volume of payments processed through the department currently is 400,000. However, it is expected to increase by 20 percent. The department operates eight hours per shift, two shifts per day, 260 days per year. How many machines (not operators) are needed to satisfy the new total processing volume? (Round up to the next whole integer.)

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Business

Connor Mack

9 January, 01:17

The lock box department at Bank 21 handles the processing of monthly loan payments to the bank, monthly and quarterly premium payments to a local insurance company, and bill payments for 85 of the bank's largest commercial customers. The payments are processed by machine operators, with one operator per machine. An operator can process one payment in 0.25 minute. Setup times are negligible in this situation. A capacity cushion of 20 percent is needed for the operation. The average monthly (not annual) volume of payments processed through the department currently is 400,000. However, it is expected to increase by 20 percent. The department operates eight hours per shift, two shifts per day, 260 days per year. How many machines (not operators) are needed to satisfy the new total processing volume? (Round up to the next whole integer.)

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Abigail · Answer 1

7.211538 ~ 8

Explanation:

1 machine operates 16 hrs per day, for 260 days

number of mins = 16*260*60

= 249600 mins

for 0.25 mins it can do 1 transaction

for 249600 mins = 249600 / 0.25

= 998400

Cushion for 20% needed

so it can do 80% of 998400 = 0.8*998400

= 798720

Per month transactions = 400000

Total year = 12*400000

= 4800000

Its expected to increase by 20%

Hence new number of trasactions = 1.2*4800000

= 5760000

Number of machines required = 5760000 /798720

= 7.211538 ~ 8