Question: QUESTION 1 Use the information provided to solve the linear programming problem and answer questions 1 through 4. Magoo Paper Company has warehouses in three

QUESTION 1 Use the information provided to solve

QUESTION 1 Use the information provided to solve the linear programming problem and answer questions 1 through 4. Magoo Paper Company has warehouses in three cities with the corresponding amount (tons) of paper available as shown: Detroit - 250 Pittsburgh - 130 Buffalo - 235 Magoo has received orders from four publishers with needs (again, tons of paper) as shown: Boston - 75 New York - 230 Chicago - 240 Indianapolis - 70 The cost to ship one ton of paper between cities is below. To Cost to Ship From Detroit Pittsburgh Buffalo Boston $15 $15 $25 $15 New York $20 $13 $15 Chicago $16 $5 $7 Indianapolis $21 $11 $17 a. How many decision variables are there in this problem? b. How many constraints are there in this problem, excluding any non-negativity constraints? c. What is the total cost associated with the optimal solution? QUESTION 2 How much paper should be shipped from Buffalo to Boston? Enter your response as a whole number. QUESTION 3 Generate a sensitivity report to answer questions 3 and 4. How much would 10 additional tons of paper available at Buffalo change your objective function value? Be careful to specify the direction (positive or negative) of the change. QUESTION 4 How much more per ton would it cost if you forced shipment between Detroit and Chicago into the solution

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