Question

The following two tables extend the narrative from pages 61-65 of the illustrated version of THE GOAL by varying the output of Pete's fabrication area. Pete’s fabricating area can still process the sub-assemblies at an average rate of 25 units per hour. The robot can still process the sub-assemblies at a constant rate of 25 units per hour. Pete’s department will start processing at 12:00 noon sharp. The material handler will move all completed sub-assemblies from Pete’s fabrication department to the welding department at 1:00 p.m., 2:00 p.m., 3:00 p.m., and 4:00 p.m. So welding can commence at 1:00 p.m.

The predicted production schedule (from pg. 62) just prior to noon is:

Time	Pete	Robot
12 - 1 p.m.	±25 units
1 - 2 p.m.	±25 units	25 units
2 - 3 p.m.	±25 units	25 units
3 - 4 p.m.	±25 units	25 units
4 - 5 p.m.		25 units
TOTAL	100 units	100 units

Now, the actual production log from Pete's area after 5 p.m. looks like this:

Time	Pete	Robot
12 - 1 p.m.	26 units
1 - 2 p.m.	27 units	?? units
2 - 3 p.m.	24 units	?? units
3 - 4 p.m.	24 units	?? units
4 - 5 p.m.		?? units
TOTAL	?? units	?? units

Given what you know about Pete's actual production and the constant production rate of the welding robot, how many sub-assemblies will Alex and Bob have ready to ship to Hilton Smythe's plant at 5 p.m.? (Please input your answer as a number such as "37". There is no need to use the word "units".)

Answer 1

Time	Pete units	Unit transferred to Robot units	Units avialable at Robot units (=unit transferred to robot unit from fabricating unit+left over from previous hour)	Robot Units Production	Left over fabrication
12 - 1 p.m.	26
1 - 2 p.m.	27	26	26	25	1
2 - 3 p.m.	24	27	28	25	3
3 - 4 p.m.	24	24	27	25	2
4 - 5 p.m.		24	26	25	1
TOTAL	101	101		100
Sub assemblies ready to ship	100