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A manufacturing company produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day each. The following table provides the time in minutes required by each part: Production time in min

A manufacturing company produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day each. The following table provides the time in minutes required by each part: Production time in min

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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A manufacturing company produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day each. The following table provides the time in minutes required by each part: Production time in min Product Lathe Drill press 1 3 2 3 4 4 7 4. Additionally, the number of units of part 1 may not exceed that of part 2. Assuming that *; : number of units need to be produced from product i, wherei E (1,2,3,4) The constraints and the objectives that are used " to balance the two machines by limiting the difference between their total operation times to at most 30 minutes", are: 25 56
Transcribed Image Text:A manufacturing company produces four parts that require the use of a lathe and a drill press. The two machines operate 10 hours a day each. The following table provides the time in minutes required by each part: Production time in min Product Lathe Drill press 1 3 2 3 4 4 7 4. Additionally, the number of units of part 1 may not exceed that of part 2. Assuming that *; : number of units need to be produced from product i, wherei E (1,2,3,4) The constraints and the objectives that are used " to balance the two machines by limiting the difference between their total operation times to at most 30 minutes", are: 25 56
Select one: Minimize sī + st +s+s 5x + 6x, + 4x3 + 7x4 +s - st = 30 %3D 3x + 2x + 5x3 + 4x; + s - s = 30 %3D Minimize s, +s 2x + 4x2 - x3 + 3x4 +s-s 30 - 2r - 4x2 +x3 - 3x4 + s - s = 30 Minimize Est 5x) + 6x, + 4x3 + 7x4 + sT-st = 30 3x + 2x + 5x + 4x4 + s - s = 30 %3D Minimize s + s 3x + 2x + 5x3 + 4x4 +s - s = 30 Minimize s+ st 5x + 6x2 + 4x + 7x4 + s- st = 30 %3D
Transcribed Image Text:Select one: Minimize sī + st +s+s 5x + 6x, + 4x3 + 7x4 +s - st = 30 %3D 3x + 2x + 5x3 + 4x; + s - s = 30 %3D Minimize s, +s 2x + 4x2 - x3 + 3x4 +s-s 30 - 2r - 4x2 +x3 - 3x4 + s - s = 30 Minimize Est 5x) + 6x, + 4x3 + 7x4 + sT-st = 30 3x + 2x + 5x + 4x4 + s - s = 30 %3D Minimize s + s 3x + 2x + 5x3 + 4x4 +s - s = 30 Minimize s+ st 5x + 6x2 + 4x + 7x4 + s- st = 30 %3D
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