Defining constraints in Linear Programming
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A small furniture manufacturer produces tables and chairs. Each product must go through three stages of the manufacturing process - assembly, finishing, and inspection. Each table requires 3 hours of assembly, 2 hours of finishing, and 1 hour of inspection. Each chair requires 2 hours of assembly, 2 hours of finishing, and 1 hour of inspection. The profit per table is $120 while the profit per chair is $80. Currently, each week there are 200 hours of assembly time available, 180 hours of finishing time, and 40 hours of inspection time. Linear programming is to be used to develop a production schedule. Define the variables as follows:
T = number of tables produced each week
C = number of chairs produced each week
According to Exhibit 8-1, which describes a production problem, suppose it is decided that there must be 4 chairs produced for every table. How would this constraint be written?
a. T<C
b. T > C
c. T = 4C
d. 4T = C
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Solution Summary
Solution chooses the correct constraint based upon the information provided.
Education
- BEng (Hons) , Birla Institute of Technology and Science, India
- MSc (Hons) , Birla Institute of Technology and Science, India
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