Question

Burns Boats wants to assemble 3030 boats per 99​-hour ​day, using a production line. Total task time for each boat is 2020 minutes. a. The takt time is 1818 minutes per boat. ​(Enter your response rounded to one decimal​ place.) The theoretical minimum number of workstations is 3434. ​(Enter your response rounded up to the next whole​ number.) b. Suppose the longest individual task takes 2828 minutes. Will Burns be able to accomplish its​ goal?

Answer 1

a) Total takt time = 18 minutes per boat

theoretical minimum number of workstations = 2

b) No Burns will not be able to accomplish its goal because the longest individual task is larger than the highest allowable cycle time i.e 18 minutes

Step-by-step explanation:

Given:

Number of boats Burns boats wants to assemble = 30

Time per day = 9 hours

Total task time = 20 minutes

a) Now,

Total available time = 9 hours × 60 = 540 minutes per day

Demand rate = 30 boats

thus,

Desired cycle time =
`\frac{\textup{540}}{\textup{30}}`

or

Desired cycle time = 18 minutes per boat

Theoretical minimum number of workstations =
`\frac{\textup{Total task time}}{\textup{desired cycle time}}`

=
`\frac{\textup{20}}{\textup{18}}`

= 1.11 ≈ 2 workstations

b) No Burns will not be able to accomplish its goal because the longest individual task is larger than the highest allowable cycle time i.e 18 minutes