A product needs to go through two machines, first on machine M1 and then on machine M2. The processing time on machine M1 is 3 minutes per unit and processing time on machine M2 is 1 minute per unit. We have an order that consists of 104 units. Both machines are available at time 0 and without interruption. The transfer time between M1 and M2 is negligible. a) If we use two transfer batches of equal sizes, when is the earliest time that we can finish the order? b) If we can use two transfer batches of different sizes, when is the earliest time that we can finish this job on two machines? c) If we can use three transfer batches of different sizes, when is the earliest time that we can finish this job on two machines?

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Your Question:

A product needs to go through two machines, first on machine M1 and then on machine M2. The processing time on machine M1 is 3 minutes per unit and processing time on machine M2 is 1 minute per unit. We have an order that consists of 104 units. Both machines are available at time 0 and without interruption. The transfer time between M1 and M2 is negligible.

a) If we use two transfer batches of equal sizes, when is the earliest time that we can finish the order?

b) If we can use two transfer batches of different sizes, when is the earliest time that we can finish this job on two machines?

c) If we can use three transfer batches of different sizes, when is the earliest time that we can finish this job on two machines?

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