It takes 2 wooden sticks and 1.5 square feet of paper to make a kite, and it takes 12 wooden sticks and 8 square feet of paper to make a lamp.

Min-Young wants to make kites and lamps using at least 87 wooden sticks and more than 63 square feet of paper.

The first thing we must do for this case is to define variables:

x = number of kites

y = number of lamps

We write the inequations system that adapts to the situation:

2x + 12y> = 87

1.5x + 8y> 63

The solutions are:

For x> 30:

y> = (1/12) * (87-2x)

For x < = 30:

y> (-3/16) * (x-42)

Answer:

For x> 30:

y> = (1/12) * (87-2x)

For x < = 30:

y> (-3/16) * (x-42)