The FloorCare, a leading tile company produces two types of tiles—ceramic tile and porcelain tiles. Porcelain tiles are less porous and more resistant to water whereas ceramic tiles are more economical and come in a wider variety of colors. The company currently uses two machines to produce these tiles. Each batch of ceramicr tiles needs 3.5 hours of Machine 1 and 2 hours of Machine 2. Each batch of porcelain tiles needs 3 hours of Machine 1 and 3.5 hours of Machine 2. Machine 1 has a maximum of 120 hours of production time and Machine 2, 150 hours. Production of a batch of ceramic tiles needs 4 workers and a batch of porcelain tiles needs 3 workers. Presently, the company employs 180 workers. Each batch of ceramic tiles earn a profit of $2250 and porcelain tiles, $1850. The company wants to determine the number of batches to be produced for each type to maximize profit.
The FloorCare, a leading tile company produces two types of tiles—ceramic tile and porcelain tiles. Porcelain tiles are less porous and more resistant to water whereas ceramic tiles are more economical and come in a wider variety of colors. The company currently uses two machines to produce these tiles. Each batch of ceramicr tiles needs 3.5 hours of Machine 1 and 2 hours of Machine 2. Each batch of porcelain tiles needs 3 hours of Machine 1 and 3.5 hours of Machine 2. Machine 1 has a maximum of 120 hours of production time and Machine 2, 150 hours. Production of a batch of ceramic tiles needs 4 workers and a batch of porcelain tiles needs 3 workers. Presently, the company employs 180 workers. Each batch of ceramic tiles earn a profit of $2250 and porcelain tiles, $1850. The company wants to determine the number of batches to be produced for each type to maximize profit.
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