Safety Tire Company makes four kinds of Tires: model SS, the super sport, model P, the Premium, model S, the Second line and model E, the Economy. Each tire must be processed on three machines as follows: Each model SS tire requires two hours on machine I, one hour on machine II, and three hours on machine III. Each model P tire requires three hours on I, two hours on II, and one hour on III. Each model S tire requires four, three and one hour respectively; whereas each model E tire requires one, two and three hours respectively. In the coming week exactly 37 hours on machine I, exactly 24 hours on machine II, and exactly 33 hours on machine III can be utilized. 1. Formulate the objective function and the contraints of the problem. 2. Find the number of each tire that can be made based on the limited utilization time of the three machines.
Safety Tire Company makes four kinds of Tires: model SS, the super sport, model P, the Premium, model S, the Second line and model E, the Economy. Each tire must be processed on three machines as follows: Each model SS tire requires two hours on machine I, one hour on machine II, and three hours on machine III. Each model P tire requires three hours on I, two hours on II, and one hour on III. Each model S tire requires four, three and one hour respectively; whereas each model E tire requires one, two and three hours respectively. In the coming week exactly 37 hours on machine I, exactly 24 hours on machine II, and exactly 33 hours on machine III can be utilized.
1. Formulate the objective function and the contraints of the problem.
2. Find the number of each tire that can be made based on the limited utilization time of the three machines.
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