A machine shop owner wishes to monitor the diameter of an engine boring operation where the piston bore should be 4.25". He obtains 8 samples, each with 5 observations. Suppose the center line for the x-bar chart is 4.5 and the center line for the R chart is 0.5. The lower control limits for the R chart is .

Bakery has bought 250 pounds of muffin dough. they want to make waffles or muffins in half-dozen packs out of it. half a dozen of muffins requires 1 lb of dough and a pack of waffles uses 3/4 lb of dough. it take bakers 6 minutes to make a half-dozen of waffles and 3 minutes to make a half-dozen of muffins. their profit will be $1.50 on each pack of waffles and $2.00 on each pack of muffins. how many of each should they make to maximize profit, if they have just 20 hours to do everything?

Assume that (i) setups need to be completed first; (ii) a setup can only start once the batch has arrived at the resource, and (iii) all flow units of a batch need to be processed at a resource before any of the units of the batch can be moved to the next resource. process step 1 molding 2 painting 3 dressing setup time 15 min. 30 min. no setup processing time 0.25 min./unit 0.15 min./unit 0.30 min./unit which batch size would minimize inventory without decreasing the process capacity?

Which of the following is not one of the four principles of bottleneck management? a. increasing capacity at non-bottleneck stations is a mirageb. lost time at the bottleneck is lost system capacity.c. release work orders to the system at the bottleneck's capacity pace.d. increased bottleneck capacity is increased system capacity.e. bottlenecks should be moved to the end of the system process.