MGT2251_Quiz1_082511

MGT2251_Quiz1_082511 - X 1 + 2 X 2 16 X 1 >= 0 X...

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Last Name, First Name: T-Square ID QUIZ # 1 DATE: 8/25/2011 TODAY's QUESTION: YOUR ANSWER: What is the Objective (in words)? 1 point Maximize revenue "Profit" = -1 What are the decision variables? 2 points X 1 defined as number of small vases produced X 2 defined as number of large vases produced What is the Objective Function? 1 point Maximize $3 X 1 + $9 X 2 "Profit" with correct equation = -0.5 What are the constraints (in words)? 2 points Clay constraint Glaze constraint "missing non-negativity" = -1 Non-negativity constraint for all decision variables What is the complete standard form of the LP formulation? 4 points Maximize $3 X 1 + $9 X 2 "Profit" with correct equation = -0.5 Subject to : Clay constraint: 1 X 1 + 4 X 2 24 Glaze constraint: 1
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Unformatted text preview: X 1 + 2 X 2 16 X 1 >= 0 X 2 >= 0 Mary is a potter and makes ceramic vases out of clay. She only has 24 pounds of clay available. She makes two sizes of vases. Small vases use one pound of clay while large uses use 4 pounds of clay. Each vase must have a special glaze applied after they cool down from being in the kiln before they are sold. Mary has 16 gallons of this special glaze. Each small vase needs one gallon of glaze while each large vase needs 2 gallons of glaze. Mary can sell each large vase for $9 and each small vase for $3 each. Formulate a linear program for Mary that will maximize revenue from her vase production....
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