SOLUTION: A furniture company manufactures two types of desks using oak and cedar lumber. The first type requires 10 board feet of oak and 5 board feet of cedar, and the second requires 6 bo
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Question 1096740: A furniture company manufactures two types of desks using oak and cedar lumber. The first type requires 10 board feet of oak and 5 board feet of cedar, and the second requires 6 board feet of oak and 4 board feet of cedar. From a supply of 1000 board of feet of oak and 600 board feet of cedar, how many desks of each type should be made in order to use all of the materials in hand. Answer by ikleyn(52802) (Show Source):
From the condition, you have these system of two equations
10x + 6y = 1000 (1) (restriction on the board of feet of oak)
5x + 4y = 600 (2) (restriction on the board of feet of cedar)
where x = # of desks of the first type and y = # of desks of the second type.
The setup is done.
Now you solve the system by any method you prefer/know.
