Did Office Superstore complete the 180 units by 5:00 p.m.?

Office Superstore produces commercial calendars in a two-department operation: Department 1 is labor intensive and Department2 is automated. The average output of Department 1 is 45 units per hour. The units are then transferred to Department 2 where they are finished by a robot. The robot can finish a maximum of 45 units per hour. Office Superstore needs to complete 180 units this afternoon for an order that has been backlogged for four months. The production manager has informed the people in Department 1 that they are to work on nothing else except this order from 1 p.m. until 5 p.m. The supervisor in Department 2 has scheduled the same times for the robot to work on the order. Department 1’s activity for each hour of the afternoon follows:

Time

1:00–2:00

2:00–3:00

3:00–4:00

4:00–4:58

Production

44 units

40 units

49 units

47 units

Assume that each unit moves directly from Department 1 to Department 2 with no lag time. Did Office Superstore complete the 180 units by 5:00 p.m.? If not, explain and provide detailed computations.

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