Two products are to be produced in a jobshop plant. The scheduling for each piece of equipment for the two products is given in Table P3.19.

The market demand requires that 3 times the amount of Product B should be produced compared to Product A. Determine the following:

• If separate campaigns for Product A and Product B are to be used, how many batches of A and B can be produced in a 600 h period?
• Repeat part (a) except use the exact formulation for the cycle time rather than the limiting case for very large n.
• Using a mixed product campaign of ABBBABBBABBB…, how many batches of each A and B can be produced in the 600 h period?
• Repeat Part (a), except consider the situation where the 600 h period is spread out over 5 weeks in which the plant operates 24 hours a day Monday-Friday and then closes over the weekend and restarts on the following Monday. For this case, any batch that is started must be finished, that is, you cannot hold a partially finished batch over the weekend and any batch that is started on Friday must be finished even if it requires a portion of Saturday to complete.

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Table P3.19 Equipment Processing Times for Problem 3.19 Product A Product B Mixer 3.0 Heater 5.5 Reactor 4.0 Crystallizer4.0 Dryer 5.5 Packaging 2.5 Mixer Heater Reactor Crystallizer6.5 2.0 Not used 7.0 Dryer 4.0 Packaging 3.0