Question: F at Part a (2 marks) What should be the proposed monthly capacity (L) at the new factory in order to keep up with the

F at Part a (2 marks) What should be the proposed

F at Part a (2 marks) What should be the proposed monthly capacity (L) at the new factory in order to keep up with the warehouse demands? Question 125 marks] The Pineapple Company produces ice-cream at its factories in Kobe, Nagoya, and Sendai. These factories have not been able to keep up with demand for orders at Pineapple's four warehouses in Tokyo, Osaka, Fukuoka, and Sapporo. As a result, the company has decided to build a new factory to expand its production capacity. The two locations being considered are Kumamoto and Hiroshima Part b (2 marks) Based on the above information, what is the single measure/criteria we should use to decide on the location of the new factory? Please express your answer in words. Partc For each of the proposed new factory, we will formulate a separate LP model to compute the measure in part b. Let X be the quantity (litres) ship from factory to warehouse j- We are given information regarding the monthly demands at the four warehouses. Warehouse Monthly Demand Litres) Tokyo 15,000 Osaka 16,000 Fukuoka 16,000 Sapporo 15,000 D) How many decision variables are required in each LP model? (1 mark) ii) Please complete the definitions of the decision variables (1.e. Let X be the quantity (litres) ship from factory i to warehouse, where ... ?) for each of the two LP models. (3 marks) We also know the production costs and monthly capacities at the existing factories. To help us decide where to build the fourth factory, we have estimated the production costs at the proposed factories 111) Express the objective function in term of x for either one of the two LP models. (8 marks) Monthly Capacity (Litres) 16,000 Factory Kobe (existing) Nagoya (existing) Sendai (existing) Kumamoto (proposed) Hiroshima (proposed) 14,000 Production Cost per litre $35 $37 $39 $30 (estimated) $32 (estimated) 16 000 iv) Express the constraints in term of xi for either one of the two LP models, (9 marks) | (Ctrl) Tokyo In addition, the cost to transport ice-cream from the existing factories and the proposed factories to the warehouses are summarized below. Osaka Fukuoka Sapporo Kobe $50 $30 $50 $60 Nagoya $40 $40 $50 $60 Sendai $50 $50 $60 $40 Kumamoto $50 $30 $60 (proposed) (estimated) (estimated) (estimated) (estimated) Hiroshima $40 $30 $40 $50 (proposed) (estimated) (estimated) (estimated) (estimated) $50

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