An assembly line with 17 tasks is to be balanced. The longest task is 2.4 minutes, and the total time for all tasks is 18 minutes. The line will operate for 450 minutes per day. a. What are the minimum and maximum cycle times

Minimum cycle time = time for longest task = 2.4 minutes

Maximum cycle time = sum of the times to complete all the tasks = 18 minutes

Step-by-step explanation:

For the minimum cycle time, the reasoning is that all the tasks can be done simultaneously, at some during the assembling task. Hence, minimum time to complete one cycle is the time it takes to complete task that takes the longest time to complete.

For the maximum cycle time, the reasoning here is that each task is done after the completion of the previous task. The total time taken to finish the task will then be the sum of the time taken to complete each task. This usually is at the beginning of operations.

f(x) = (x + 1)(x + 2)

Step-by-step explanation:

Zero x = -1 corresponds to factor x + 1, and zero x = -2 to x + 2.  Thus, the quadratic in question is

f(x) = (x + 1)(x + 2)