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PAVILION VIEW be carerutostrom the intemet can contain viruses. Unless you need to edit. It's safer to stay in Protected View Enable Editing 171 fx А B С D E F G H 1 2 3 4 5 6 7 8 9 10 11 12 13 Problem 2 A manufacturer has three plants with access production capacity. It can use this capacity to produce a product that comes in three sizes, Large, Medium, and Small. Any plant can produce any combination of the product sizes. The manufacturer wants to determine how many units to produce in each plant of each product size. The decision variables to solove for are therefore: Plant 1 Plant2 Plant3 Large X11 X12 X13 Medium X21 Small X31 X22 X32 X23 X33
23 24 25 26 27 2. There is a limited storage available in each plant, which limits the production levels. The storage space available in each plant, and the required space per unit are given (below question 4). Write the constraints that express the limited space available for each plant. (in the Answers sheet).
4. To prevent layoffs management wants the percent of the available capacity used for production be equal among all plants (for example, capacity in plant 1 is 1200 units. If this plant produces 500 units, it uses 500/1200 - 41.67% of its capacity. Then all the plants must use 41.67% of their capacity that is, equal workload for all plants), Write the constraints needed to secure this requirement in the Answer sheet). 30 39 40 41 42 43 44 55 46 47 48 49 50 51 Plant1 Plant2 Capacity avail 1200 units 900 Storage avail 13000 sqft 12000 Required starage per unit 20 sq.ft 15 Plants 850 5000 12 Large $1000 Medium 1100 Small 700 Profit/unit