A company produces motor cycle seats. The company has two production lines. The  production rate for line one is 50 seats per hour and for line two it is 60 seats per hour.  The company has entered into a contract to supply1200 seats daily to another company.  Currently, the normal operation period for each

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A company produces motor cycle seats. The company has two production lines. The 
production rate for line one is 50 seats per hour and for line two it is 60 seats per hour. 
The company has entered into a contract to supply1200 seats daily to another company. 
Currently, the normal operation period for each line is 8 hours. The production manager 
4 | P a g e
of the company is trying to determine the best daily operation hours for the two lines. He 
sets the priorities to achieve his goals as given below:
- P1: produce and deliver 1200 seats daily
- P2: limit the daily overtime operation hours of line one to 3 hours
- P3: Limit the daily overtime operation hours of line two to 4 hours 
 Formulate the problem as a GP model and then solve it by using graphical method

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