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Table 8-4 A Small Furniture Manufacturer Produces Tables and Chairs.Each Product Must

question 56

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Table 8-4
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 4 hours of assembly,3 hours of finishing,and 1 hour of inspection.Each chair requires 3 hours of assembly,2 hours of finishing,and 2 hours of inspection.The selling price per table is $140 while the selling price per chair is $90.Currently,each week there are 220 hours of assembly time available,160 hours of finishing time,and 45 hours of inspection time.Assume that one hour of assembly time costs $5.00;one hour of finishing time costs $6.00;one hour of inspection time costs $4.50;and that whatever labor hours are not required for the table and chairs can be applied to another product.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
-Suppose that the problem described in Table 8-4 is modified to specify that one-third of the tables produced must have 6 chairs,one-third must have 4 chairs,and one-third must have 2 chairs.How would this constraint be written?


Definitions:

Delegating Tasks

The process of assigning responsibility and authority to others to complete a task while retaining ultimate accountability for its outcome.

Larger Tasks

Complex and time-consuming tasks or projects that require significant effort, planning, and resources to complete.

More Difficult

Describes tasks or challenges that require increased effort, skill, or resources compared to others.

Tackle

To confront or take on a challenge or issue directly.

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