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MANDATORY - LP Question - Problem Statement (with line numbers): 60 points Line 1 - Lynn, Inc. has 5 distribution centers (DC) for their 20 pound dog food offering and 1,600 retailers that sell the product. The firm ships dog food from the distribution centers to retailers. Previously (and outside the scope of this problem), Lynn has two suppliers that ship from their factories to the five distribution centers. Line 2 - The firm wishes to develop a logistics plan on how much product to ship from each distribution center to each retailer at the lowest possible transportation cost. Line 3 - On average, each retailer requires 150 bags of dog food per month Line 4 - Shipping cost from DC 1, 2 and 3 to retailers are $1 per bag. From DC 4 and 5 to retailers costs are $1.50 per bag. Line 5 - Each distribution center has a capacity of 48,000 bags per month. 1. Is this a minimization or maximization problem? Which line in the problem statement tells you this? Which line in the problem statement contains the key information one needs to write an "objective function"? What does the objective function" measure? 2. How many decision variables are there in this problem? Which line in the problem statement tells you this? In general, what does each decision variable represent? How might these variables be labeled (for example, the letter X plus what subscripts?) 3. Which line of the problem statement contains the supply constraint? In words, how do these constraints limit the solution? Which line of the problem statement contains the demand constraint? In words, how do these constraints limit the solution? 4. What is the total supply available at the DCs? What is the total demand from retailers? 5. Consider the total supply of dog food and the total demand for dog food calculated in #4. How would you characterize the balance of supply and demand for Lynn? Identify a significant problem that the firm would face if one of its distribution centers had a fire and could not operate for a period of time. By comparison how significant a problem would the firm face if one of its retail stores had a fire and could not operate for a period of time