An electronic component manufacturer has two facilities producing a range of esistors. Facility 1 costs €2000 per day to operate. Facility 2 costs €2500 per day to pperate. The production capacities per day are as follows: Facility 1 Facility 2 Orders 25,000 27,000 30,000 Resistors 1% tolerance: 400 300 Resistors 5% tolerance 300 400 Resistors 10% tolerance 200 500

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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Question 1
An electronic component manufacturer has two facilities producing a range of
resistors. Facility 1 costs €2000 per day to operate. Facility 2 costs €2500 per day to
operate. The production capacities per day are as follows:
Facility 1
Facility 2
Orders
25,000
Resistors 1% tolerance:
400
300
Resistors 5% tolerance
300
400
27,000
Resistors 10% tolerance
200
500
30,000
How many days should the manufacturer operate each facility in order to minimise
its costs and still produce sufficient resistors to meet its orders?
a. Formulate the problem as a linear programming model (hint: let X1 represent
the number of days that Facility 1 should operate and X2 represent the number
of days that Facility 2 should operate).
b. Solve the problem using graphical linear programming (corner point)
techniques.
Question 2
Solve question 1 above using Excel. The graph and minimum cost result should
automatically update if any of the constraints or objective function change.
Transcribed Image Text:Question 1 An electronic component manufacturer has two facilities producing a range of resistors. Facility 1 costs €2000 per day to operate. Facility 2 costs €2500 per day to operate. The production capacities per day are as follows: Facility 1 Facility 2 Orders 25,000 Resistors 1% tolerance: 400 300 Resistors 5% tolerance 300 400 27,000 Resistors 10% tolerance 200 500 30,000 How many days should the manufacturer operate each facility in order to minimise its costs and still produce sufficient resistors to meet its orders? a. Formulate the problem as a linear programming model (hint: let X1 represent the number of days that Facility 1 should operate and X2 represent the number of days that Facility 2 should operate). b. Solve the problem using graphical linear programming (corner point) techniques. Question 2 Solve question 1 above using Excel. The graph and minimum cost result should automatically update if any of the constraints or objective function change.
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