i have this problem but have not clue how to solve it
Ryan Arts manufactures two types of picture frames--let's call them typeX and typeY. Each typeX frame requires 2 hours of labor and 1 unit of material to make, and each typeY frame requires 1 hour of labor and 2 units of material to make. During the upcoming week the company has 4000 hours of labor and 5000 units of material available. Naturally, during the upcoming week Ryan cannot use more labor or more material than he has available--but he could use less. Write two expressions--one for labor and one for materials--that can be used to m

Question

i have this problem but have not clue how to solve it 
Ryan Arts manufactures two types of picture frames--let's call them typeX and typeY. Each typeX frame requires 2 hours of labor and 1 unit of material to make, and each typeY frame requires 1 hour of labor and 2 units of material to make. During the upcoming week the company has 4000 hours of labor and 5000 units of material available. Naturally, during the upcoming week Ryan cannot use more labor or more material than he has available--but he could use less. Write two expressions--one for labor and one for materials--that can be used to m

dumbcow · Answer

Labor:
2X + Y < 4000
Material:
X + 2Y < 5000

dumbcow · Answer

these yield 2 lines:
Y < -2X +4000
Y < -X/2 + 2500

The area bounded by the 2 lines and the x,y axis give possible production