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A small furniture manufacture producer tables and chairs.  Each product must go through three stages of the manufacturing...

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Advance Math

  1. A small furniture manufacture producer tables andchairs.  Each product must go through three stages of themanufacturing process:

Each table requires 4 hours ofassembly, 3 hours of finishing and 1 hour of inspection

Each chair requires 3 hours ofassembly, 2hours of finishing and 2 hours of inspection

The selling price per table is $140while the selling price per chair is $90

Currently, each week there are 220hours of assembly time available, 160 hours of finishing time, and45 hours of inspection time.

Assume that one hour of assembly timecosts $.00; one hour of finishing time costs $6.00; one hour ofinspection time costs $4.50.

Linear programming is to be used todevelop a production schedule.

Let:      T=number of tabletsproduced each week

            C=numberof chairs produced each week

Which of the following expressionwould be the objective function of this LP problem?

  1. Max 140T+90C
  2. Max 97.5T+54C
  3. Max T+C
  4. Min 42.5T+36C

Answer & Explanation Solved by verified expert
4.4 Ratings (945 Votes)
LetTnumber of tabletsproduced each weekCnumberof chairs produced each weekThe objective function of any business is to increase the profitwhile    See Answer
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