2. (Manufacturing problem) A manufacturing company makes two models A and B of a product. Each piece of Model A requires 9 working hours for fabricating and 1 working hour for finishing. Each piece of Model B requires 12 working hours for fabricating and 3 working hours for finishing. For fabricating and finishing, the maximum working hours available are (180 and 30 respectively. The company makes a profit of 8000 on each piece of model A and 12000 on each piece of Model B. How many pieces of Model A and Model B should be manufactured per week to realize a maximum profit? What is the maximum profit nor wee-?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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2. (Manufacturing problem) A manufacturing company makes two models A and
B of a product. Each piece of Model A requires 9 working hours for fabricating
and 1 working hour for finishing. Each piece of Model B requires 12 working
hours for fabricating and 3 working hours for finishing. For fabricating and
finishing, the maximum working hours available are (180 and 30 respectively. The
company makes a profit of 8000 on each piece of model A and 12000 on each
piece of Model B. How many pieces of Model A and Model B should be
manufactured per week to realize a maximum profit? What is the maximum profit
per week?
Transcribed Image Text:2. (Manufacturing problem) A manufacturing company makes two models A and B of a product. Each piece of Model A requires 9 working hours for fabricating and 1 working hour for finishing. Each piece of Model B requires 12 working hours for fabricating and 3 working hours for finishing. For fabricating and finishing, the maximum working hours available are (180 and 30 respectively. The company makes a profit of 8000 on each piece of model A and 12000 on each piece of Model B. How many pieces of Model A and Model B should be manufactured per week to realize a maximum profit? What is the maximum profit per week?
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