The constant of proportionality for this relationship is
2 answers:
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Answer:
The average inventory depends on the manufacturing batch size.
Its formula is:
Step-by-step explanation:
The question is incomplete.
Question complete:
<em>"A machine makes two components, call them type A and B. It takes 250 seconds to switch production between the component types. During that time no production occurs. When in production, each unit of A or B requires 0.5 seconds to be completed. The two components, A and B are combined in an assembly process to make a final product, call it C. The assembly step can combine the two components into 1 unit every 2 seconds. What is the average inventory of B components?"</em>
We have two steps in this process: the manufacturing of A and B and the assembly process.
We are not told about the batch size, so we will treat that as a variable called n. This represents the amount of units (of A or B) that are manufactured per cycle.
Time (seconds) to manufacture n units of A and n units of B:
Time (seconds)to assemble n units of C
Then the total time of the cycle is:
The average inventory of B is n units per cycle, which lasts (3n+250) seconds.
For a batch size of 100 units, the average inventory is:
For a batch size of 1,000 units, the average inventory is: