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BE Prints, Inc. produces two types of offset printers: Chamber and Flicker. Demand for both products is booming and exceeds the company's ability to satisfy it. Most raw materials are plentiful, but production is limited by three factors: a shortage of steel rollers, gear cutting capacity and roller polishing capacity. Each Chamber offset printer requires 12 rollers, and each Flicker requires 10 rollers. Chamber requires 36 hours of gear cutting and 12 hours of polishing time, while Flicker requires 32 hours of gear cutting and 14 hours of polishing time. The company is able to buy 200 rollers per week, and it has 180 hours of gear cutting time and 150 hours of polishing time available per week. At current prices, the company will earn a profit of P30,000 on each Chamber printer made and P26,000 on each Flicker printer made. Formulate and solve the problem as a linear program to maximize its profit.

BE Prints, Inc. produces two types of offset printers: Chamber and Flicker. Demand for both products is booming and exceeds the company's ability to satisfy it. Most raw materials are plentiful, but production is limited by three factors: a shortage of steel rollers, gear cutting capacity and roller polishing capacity. Each Chamber offset printer requires 12 rollers, and each Flicker requires 10 rollers. Chamber requires 36 hours of gear cutting and 12 hours of polishing time, while Flicker requires 32 hours of gear cutting and 14 hours of polishing time. The company is able to buy 200 rollers per week, and it has 180 hours of gear cutting time and 150 hours of polishing time available per week. At current prices, the company will earn a profit of P30,000 on each Chamber printer made and P26,000 on each Flicker printer made. Formulate and solve the problem as a linear program to maximize its profit.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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BE Prints, Inc. produces two types of offset printers: Chamber and Flicker. Demand for both products is booming and exceeds the company's ability to satisfy it. Most raw materials are plentiful, but production is limited by three factors: a shortage of steel rollers, gear cutting capacity and roller polishing capacity. Each Chamber offset printer requires 12 rollers, and each Flicker requires 10 rollers. Chamber requires 36 hours of gear cutting and 12 hours of polishing time, while Flicker requires 32 hours of gear cutting and 14 hours of polishing time. The company is able to buy 200 rollers per week, and it has 180 hours of gear cutting time and 150 hours of polishing time available per week. At current prices, the company will earn a profit of P30,000 on each Chamber printer made and P26,000 on each Flicker printer made. Formulate and solve the problem as a linear program to maximize its profit.
Transcribed Image Text:BE Prints, Inc. produces two types of offset printers: Chamber and Flicker. Demand for both products is booming and exceeds the company's ability to satisfy it. Most raw materials are plentiful, but production is limited by three factors: a shortage of steel rollers, gear cutting capacity and roller polishing capacity. Each Chamber offset printer requires 12 rollers, and each Flicker requires 10 rollers. Chamber requires 36 hours of gear cutting and 12 hours of polishing time, while Flicker requires 32 hours of gear cutting and 14 hours of polishing time. The company is able to buy 200 rollers per week, and it has 180 hours of gear cutting time and 150 hours of polishing time available per week. At current prices, the company will earn a profit of P30,000 on each Chamber printer made and P26,000 on each Flicker printer made. Formulate and solve the problem as a linear program to maximize its profit.
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