The standard procedure for manufacturing Malic acid requires processing of Malin, a key material, along with other supplementary elements. On her prequalification visit to Liao Labs, Marina Meyer, Betapharm quality engineer, observed the following process shown in the flow diagram below: Malin is processed in three stages: grinding, purifying, and filtering; other elements go through a mixing stage, and then all of the materials are processed in a chemical reactor. The production batch size is 1 kg of Malic acid. Production times (i.e., the times required at each stage for production of 1 kg of Malic acid) are indicated in the diagram. Malin Grinding Purifying Filtering Malic Acid Chemical 6 min / kg 12 min / kg 10 min / kg Reactor Other elements Mixing 12 min / kg 15 min / kg (a) Based on Marina's observations, determine Liao's capacity rate for producing Malic acid. (b) An important capability that Betapharm desires is the ability to fill rush orders. How long would it take for Liao to fill a rush order of 100 kg? (c) While at Liao, Marina furrowed her brow as Mr. Liao, the owner, showed her Liao Lab's capacity numbers. Mr. Liao mentioned that he is considering purchasing a new machine to reduce the processing time of Purifying from 12 minutes to 6 minutes per kg. If this change is made, how will your answer to (a) and (b) change?