A manufacturing company produces three types of valves: 1, 2, and 3. The times required for...
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A manufacturing company produces three types of valves: 1, 2, and 3. The times required for each type of valve, the cost to manufacture in hours, and the cost to outsource are included in the table below. Valve Fabrication Hours Inspection Hours In-House Cost Outsource Cost 1 0.50 0.25 $17.00 $20.40 2 0.40 0.30 $19.00 $21.80 3 0.80 0.45 $23.00 $25.00 Decision Variable Descriptions: Xi1: The number of valve 1s produced in-house Xo1: The number of valve 1s outsourced Xi2: The number of valve 2s produced in-house Xo2: The number of valve 2s outsourced Xi3: The number of valve 3s produced in-house Xo2: The number of valve 3s outsourced Formulate as a goal program; the goal is to minimize the percent deviation. DO NOT SOLVE! All constraints must be in proper linear programming format to earn credit; constraints not in proper linear programming format will earn no credit. A.) Goal 1: The manufacturing company has no more than 400 fabrication hours available. How would this be written as a soft constraint? [Select] B.) Goal 2: There is a standing order of 200 valve 2s. The manufacturing company would like to produce at least enough valve 2s to meet demand. How would this be written as a soft constraint? [Select] C.) The company would like at least 70% of the total costs to come from valves that are produced in- house. How would this be written as a hard constraint? [Select] D.) Assuming that the two goals above are the only goals in this goal program, what is the objective function if you would like to minimize percent deviation? [Select] A manufacturing company produces three types of valves: 1, 2, and 3. The times required for each type of valve, the cost to manufacture in hours, and the cost to outsource are included in the table below. Valve Fabrication Hours Inspection Hours In-House Cost Outsource Cost 1 0.50 0.25 $17.00 $20.40 2 0.40 0.30 $19.00 $21.80 3 0.80 0.45 $23.00 $25.00 Decision Variable Descriptions: Xi1: The number of valve 1s produced in-house Xo1: The number of valve 1s outsourced Xi2: The number of valve 2s produced in-house Xo2: The number of valve 2s outsourced Xi3: The number of valve 3s produced in-house Xo2: The number of valve 3s outsourced Formulate as a goal program; the goal is to minimize the percent deviation. DO NOT SOLVE! All constraints must be in proper linear programming format to earn credit; constraints not in proper linear programming format will earn no credit. A.) Goal 1: The manufacturing company has no more than 400 fabrication hours available. How would this be written as a soft constraint? [Select] B.) Goal 2: There is a standing order of 200 valve 2s. The manufacturing company would like to produce at least enough valve 2s to meet demand. How would this be written as a soft constraint? [Select] C.) The company would like at least 70% of the total costs to come from valves that are produced in- house. How would this be written as a hard constraint? [Select] D.) Assuming that the two goals above are the only goals in this goal program, what is the objective function if you would like to minimize percent deviation? [Select]
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A Goal 1 05Xi104Xi208Xi3dp1dn1 400 where dp1 and dn1 are positive and negative deviation variabl... View the full answer
Related Book For
Data Analysis and Decision Making
ISBN: 978-0538476126
4th edition
Authors: Christian Albright, Wayne Winston, Christopher Zappe
Posted Date:
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