A batch chemical plant is to be used to produce three chemical products (A, B, and C) using a flowshop plant. The times for each product in each piece of equipment (in hours) are shown in Table P3.14.

Market demands for these products require that the ratio of A to B to C be 1/2/2. Therefore, n_B = n_C = 2n_A. For this batch plant, answer the following questions:

• In an operating period of 600 h, how many batches of A, B, and C can be made using three single-product campaigns (AAA …, BBBBBB …, CCCCCC …)?
• Using multiple batch campaigns in the order ABBCCABBCC …, how many batches of A, B, and C can be made? How would the answer to Part (a) change if the number of batches of A were twice those of B and C (instead of half)?
• For Part (a), if the required production over the 600 h of operation for product B was 20,000 kg or 17.5 m³ of product, what volume of product storage would be required to ensure that a constant supply of B could be maintained over the 600 h operation?

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Table P3.14 Equipment Processing Times for Problem 3.14 Unit Op/Product Heating Reaction/MixingFiltration Distillation Crystallization A BC C 1.0 1.5 2.5 3.0 3.5 2.0 1.0 1.0 0.5 2.5 1.5 2.5 3.5 4.0 3.0