Question: Both the products have to be processed through two machines: Machine l & Machine 2. Total machine-hours available are: 400 hours of M1 and 600

Both the products have to be processed through two machines: Machine l & Machine 2. Total machine-hours available are: 400 hours of M1 and 600 hours of M2, respectively. You need to use 1 hour of Machine 1 in the production of a screen protector and 3 hours in the production of a case. You also need to use 2 hours of Machine 2 in the production process of a screen protector and 1 hour to produce a case. Profit from a screen protector is $5 while profit from a case is $10. Due to fast growing demand for cases, management has stated that we must produce at least 50 cases. What is the optimal mix of screen protectors & cases so as to maximize the total profit?

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