A company manufactures plastic bottles, buckets, and cups. The profit units are $10 for a plastic bottle, $25 for a bucket, and 58 for a bag of cups. The machine that makes the goods has a capacity of 400 hours each month. The bottle takes two hours to make, the bucket three hours, and the cup one hour. The company has a total of 890 units of plastic. Plastic bottles require three units, buckets five units, and cups one unit. In addition, there are 200 kg of a novel chemical component. This unique chemical component is employed in plastic bottles (2 kilogram), buckets (4 kg), and cups (0.5 kg) . There is an order to produce only 50 bags of plastic cup. The company wants to find the optimal plan to maximize profit. Use the Simplex method to solve this problem.
A company manufactures plastic bottles, buckets, and cups. The profit units are $10 for a plastic bottle, $25 for a bucket,
and 58 for a bag of cups. The machine that makes the goods has a capacity of 400 hours each month. The bottle takes
two hours to make, the bucket three hours, and the cup one hour. The company has a total of 890 units of plastic. Plastic
bottles require three units, buckets five units, and cups one unit. In addition, there are 200 kg of a novel chemical
component. This unique chemical component is employed in plastic bottles (2 kilogram), buckets (4 kg), and cups (0.5
kg) . There is an order to produce only 50 bags of plastic cup. The company wants to find the optimal plan to maximize
profit. Use the Simplex method to solve this problem.
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