Ozark furniture company can obtain at most 3000 board feet of maple lumber for making its classic and modern maple rocking chairs. A classic maple rocker requires 15 board feet of maple and a modern rocker requires 12 board feet of maple. write an inequality that limits the possible number of maple rockers of each type
15c + 12m <= 3000
To write the inequality that limits the possible number of maple rockers of each type, let's assume c represents the number of classic maple rockers and m represents the number of modern maple rockers.
The classic maple rocker requires 15 board feet of maple, and the modern rocker requires 12 board feet of maple. Therefore, the total board feet required for c classic maple rockers and m modern maple rockers is:
Total board feet = 15c + 12m.
The problem states that the Ozark furniture company can obtain at most 3000 board feet of maple lumber. So, the inequality limiting the possible number of maple rockers can be written as:
15c + 12m ≤ 3000.
This inequality ensures that the total board feet required for both types of maple rockers does not exceed the company's limit of 3000 board feet.