A furniture company makes dining room furniture. A buffet requires 30 hours for construction and 10 hours for finishing. A chair requires 20 hours for construction and 20 hours for finishing. A table requires 30 hours for construction and 50 hours for finishing. The construction department has 380 hours of labor and the finishing department has180 hours of labor available each week. How many pieces of each type of furniture should be produced each week if the factory is to run at full​ capacity? How many pieces of each type of furniture should be produced each​ week? A. Either 1​ buffet, 4 chairs and 10 tables or no​ buffets, 11 chairs and 1 table B. 4 buffets,10 chairs and 1 table C. The numbers of pieces of each type of furniture that should be produced each week cannot be found. D. Either 10 buffets, 4 chairs and no tables or 11 beffets, 1 chair and 1 table.

Algebra for College Students
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ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
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A furniture company makes dining room furniture. A buffet requires 30 hours for construction and 10 hours for finishing. A chair requires 20 hours for construction and 20 hours for finishing. A table requires 30 hours for construction and 50 hours for finishing. The construction department has 380 hours of labor and the finishing department has180 hours of labor available each week. How many pieces of each type of furniture should be produced each week if the factory is to run at full​ capacity?

How many pieces of each type of furniture should be produced each​ week?

A. Either 1​ buffet, 4 chairs and 10 tables or no​ buffets, 11 chairs and 1 table

B. 4 buffets,10 chairs and 1 table

C. The numbers of pieces of each type of furniture that should be produced each week cannot be found.

D. Either 10 buffets, 4 chairs and no tables or 11 beffets, 1 chair and 1 table. 

 

 

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Given: A buffet requires 30 hours for construction and 10 hours for finishing. A chair requires 20 hours for construction and 20 hours for finishing. A table requires 30 hours for construction and 50 hours for finishing. The construction department has 380 hours of labor and the finishing department has180 hours of labor available each week.

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