Please Help Me with this problem: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 that can be made, and graph the inequality in the first quadrant.

Let "m" be the number of modern rockers.

INEQUALITY:
15c+12m<=3000, c>=0, m>=0

To write an inequality that limits the possible number of maple rockers of each type that can be made, let's use the following variables:

Let C represent the number of classic maple rockers.
Let M represent the number of modern maple rockers.

Since a classic maple rocker requires 15 board feet of maple and a modern rocker requires 12 board feet of maple, we can write the following equations:

15C ≤ 3000 (The total board feet of maple used for classic rockers cannot exceed the maximum available maple lumber of 3000 board feet)

12M ≤ 3000 (The total board feet of maple used for modern rockers cannot exceed the maximum available maple lumber of 3000 board feet)

So, the inequality that limits the number of maple rockers of each type can be written as:

15C + 12M ≤ 3000

To graph this inequality in the first quadrant, we need to draw a coordinate plane with the x-axis representing the number of classic rockers (C) and the y-axis representing the number of modern rockers (M). Then, we can plot the boundary line 15C + 12M = 3000 as a solid line, and shade the region below the line to represent the feasible solutions.