Question: I need help formulating a linear programmig Demand (tonne) Month 1 Month 2 Month 3 Month 4 Month 5 Large 31 25 45 59 44

I need help formulating a linear programmig

I need help formulating a linear programmig
Demand (tonne) Month 1 Month 2 Month 3 Month 4 Month 5 Large 31 25 45 59 44 Medium 50 41 70 80 60 Small 42 30 55 72 56 Production cost ($/tonne) Month 1 Month 2 Month 3 Month 4 Month 5 Large 286 273 305 337 353 Medium 304 290 324 359 375 Small 313 299 334 370 386 Demand and production cost for each month, per product group. For the each potato category, the delivery amounts and production costs for the coming ve months are presented in the table above. The delivery amounts must be met exactly for contractual reasons. Before the potatoes can be delivered, Ohadi needs to process them for distribution (the processing primarily consists of cleaning and packaging). Because of uctuating market prices, the production costs are different for each month, as indicated in the table. Ohadi's distribution center can process at most 175 tonnes of potatoes in total per month. Processed potatoes can be stored on-site, and there is capacity to store at most 50 tons of processed potatoes per month in total. The storage costs are $50 per tonne per month (applied to the amount that we put in storage at the end of each month). However, because of storage rot 4% of the potatoes put in storage needs to be discarded (this is averaged over the month). That is, if we put 1 tonne in storage at the end of month i, we can only use 0.96 tonne to meet the demand for month i+ 1. Of course, we still pay storage cost over the entire amount put in storage. The storage cost and storage rot are independent of the potato categories. At the start of month 1, Ohadi has 5.3 tonnes of processed medium potatoes in storage that it can use to fulll the demand in month 1. The associated storage costs have already been accounted for in the previous planning period, and should be ignored in this problem. Ohadi does not have small or large potatoes in inventory at the start of month 1. Ohadi Foods wants to determine a production plan that meets all constraints and has minimum total cost. 4. Formulate a linear programming model for this

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