SOLUTION: Each week at a furniture factory, 2000 work hours are available in the construction department, 1400 work hours in the painting department, and 1300 work hours in the packing depar

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Question 484402: Each week at a furniture factory, 2000 work hours are available in the construction department, 1400 work hours in the painting department, and 1300 work hours in the packing department. Producing a chair requires 2 hours of construction, 1 hour of painting, and 2 hours for packing. Producing a table requires 4 hours of construction, 3 hours of painting, and 3 hours for packing. Producing a chest requires 8 hours of construction, 6 hours of painting, and 4 hours for packing. If all available time is used in every department, how many of each item is produced each week?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x,y,z represent the number of chairs, tables and chests

Question states***

 2x+4y+8z = 2000

  x+3y+6z = 1400

 2x+3y+4z = 1300

Solving simultaneously in the manner of Your choice:

 x = 200, the number of chairs

 y = 100, the number of tables

 z = 150, the number of chests