Suppose that George operates a laundromat which requires two inputs, capital (K) and labor (L). His production function is
Q=3K^(1/3)*L^(1/3).
a) Suppose George desires to produce 90 units of output, the cost of capital is $1 and the cost of labor is $27. What is his optimal input combination?
b) Suppose George desires to produce 90 units of output, and the cost of labor is $27. What is is capital demand curve?
c) Suppose George desires to produce 90 units of output, the cost of capital is $1 and the cost of labor is $27. What is his price elasticity of capital demand?