Question: Question 1 (25 points) An initial set of components are assembled and processed to produce a final product. The figure below illustrates this production process

Question 1 (25 points) An initial set of

Question 1 (25 points) An initial set of components are assembled and processed to produce a final product. The figure below illustrates this production process with each circle representing a unique item and each diamond representing a production task. The numbers on the arrows represent the number of the corresponding items required to carry out the following task. The number of output by each task is one. The demand for item 4 (finished good) in week t is Di, for t= 1, 2, ..., 10. Items 1-3 do not have any direct external demand. The fixed cost for carrying out task A at least once in a given week is $100, and that for task B is $200. The variable cost of carrying out either task is $0.5 each time for both A and B. Inventory holding cost for items 1-4 is $1 per item per week. Please provide a big-time-bucket formulation for minimizing the total production and inventory cost over weeks 1-10 (assume single machine for each task). 2 A 3 B 4 3 Question 1 (25 points) An initial set of components are assembled and processed to produce a final product. The figure below illustrates this production process with each circle representing a unique item and each diamond representing a production task. The numbers on the arrows represent the number of the corresponding items required to carry out the following task. The number of output by each task is one. The demand for item 4 (finished good) in week t is Di, for t= 1, 2, ..., 10. Items 1-3 do not have any direct external demand. The fixed cost for carrying out task A at least once in a given week is $100, and that for task B is $200. The variable cost of carrying out either task is $0.5 each time for both A and B. Inventory holding cost for items 1-4 is $1 per item per week. Please provide a big-time-bucket formulation for minimizing the total production and inventory cost over weeks 1-10 (assume single machine for each task). 2 A 3 B 4 3

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