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

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) (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

  

RELATED QUESTIONS

A furniture company makes dining room furniture. A buffet requires 40 hours for... (answered by ikleyn,Edwin McCravy)
7.	Irfan Furniture makes dining room furniture. A buffet requires 15 hours for cutting,... (answered by Theo)
A small furniture shop makes tables and chairs which must be processed through assembly... (answered by ikleyn)
can anyone solve this by Gaussian elimination PROCEDURE?
A COMPANY PRODUCE 3 products... (answered by stanbon)
The Nimble Digits Division of Block C Enterprises produces two products through two... (answered by ajs78)
Hello, I am having trouble understanding and solving this problem:

A furniture company  (answered by solver91311)
Hello, I am having trouble understanding and solving this problem:

A furniture company  (answered by KMST)
A manufacturer produces the following two items: desks and bookcases. Each item requires... (answered by psbhowmick)
A cement factory estimates that 10 men must work for 8 hours each day to complete a job... (answered by josgarithmetic)