Economics question; Part 4. HELP ME!?

Question

Hey guys! I'm stuck on this one and was hoping someone could show me a walk-through. Thanks!

Michele sells user-friendly software. Her firm's production funciton is f(x1,x2) = x1 + 2x2, where x1 is the amount of unskilled labor and x2 is the amount of skilled labor that she employs.

A. Does this production function exhibit: increasing, decreasing, or constant returns to scale?

B. If Michele uses only unskilled labor, how much unskilled labor would she need in order to produce "y" units of output?

C. If Michele uses only skilled labor to produce output, how much skilled labor would she need in order to produce "y" units of output? ____

D. If Michele faces factor prices (1,1), what is the cheapest way for her to produce 20 units of output? x1= ___ x2= ___

E. If Michele faces factor prices (1,3), what is the cheapest way for her to produce 20 units of output? x1=___ x2= ____

F. If she faces factor prices (w1, w2) what will be minimal cost of producing 20 units?

Answer 1

A: Constant

B: y units of unskilled labor.

C: y/2 units of skilled labor.

D: x1=0; x2=10 TC=10

E: x1=20; x2=0 TC=20

F: Min{20w1;10w2}