Whichever option to be chosen will be based on minimizing the total cost. Total cost is the sum of production cost and inventory carrying (ending backlog) cost.
Option A:
Total production = 1600 + 1200 + 800 + 800 + 800 + 800 = 6000
Total backlog inventory = 600 + 900 + 900 + 900 + 1100 + 1100 + 1100 = 6600
Option B:
Total production = 2000 + 800 + 800 + 800 + 800 + 800 = 6000
Total backlog inventory = 600 + 1300 + 900 + 900 + 1100 + 1100 + 1100 = 7000
Clearly production is same for both Option A and Option B. However, inventory backlog is higher for Option B hence higher related cost.
Hence, Option A plan with lower ending backlog and related cost is the best option.
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