Nolan Industries manufactures water filters/purifiers that attach to a kitchen faucet. Each purifier consists of a housing unit that attaches to the faucet and a 60-day filter (sold separately) that is inserted into the housing. Past records indicate that on average, the number of filters produced per week should be at least 700. It takes 20 minutes to make and assemble each filter and 40 minutes for each housing. The manufacturing facility has at least 18,000 minutes per week for making and assembling these units, but due to certain parts supply constraints, the number of housing units per week can be at most 400. If manufacturing costs (for material and labor) are $6.10 for each filter and $8.90 for each housing unit, how many of each should be produced to minimize weekly costs? Nolan Industries manufactures water filters/purifiers that attach to a kitchen faucet. Each purifier consists of a housing unit that attaches to the faucet and a 60-day filter (sold separately) that is inserted into the housing. Past records indicate that on average, thenumber of filters produced per week should be at least 700. It takes 20 minutes to make and assemble each filter and 40 minutes for each housing. The manufacturing facility has at least 18,000 minutes per week for making and assembling these units, but due tocertain parts supply constraints, the number of housing units per week can be at most 400. If manufacturing costs (for material and labor) are $6.10 for each filter and $8.90 for each housing unit, how many of each should be produced to minimize weekly costs?filtershousing unitsFind the minimum cost.$

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Answered: Nolan Industries manufactures water…

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.8: Linear Programming

Problem 5SC: If during the following year it is predicted that each comedy skit will generate 30 thousand and...

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Nolan Industries manufactures water filters/purifiers that attach to a kitchen faucet. Each purifier consists of a housing unit that attaches to the faucet and a 60-day filter (sold separately) that is inserted into the housing. Past records indicate that on average, the number of filters produced per week should be at least 700. It takes 20 minutes to make and assemble each filter and 40 minutes for each housing. The manufacturing facility has at least 18,000 minutes per week for making and assembling these units, but due to certain parts supply constraints, the number of housing units per week can be at most 400. If manufacturing costs (for material and labor) are $6.10 for each filter and $8.90 for each housing unit, how many of each should be produced to minimize weekly costs?