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?

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

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 = [tex]\frac{\textup{540}}{\textup{30}}[/tex]

or

Desired cycle time = 18 minutes per boat

Theoretical minimum number of workstations = [tex]\frac{\textup{Total task time}}{\textup{desired cycle time}}[/tex]

= [tex]\frac{\textup{20}}{\textup{18}}[/tex]

= 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