Duane breeds parrots for a living.He has discovered that the production function for parrot chicks (Q) is:

Q = K1/2L1/2

where K is capital (for example nest boxes, cages and the like) and L is parrot food.The price of K is $10 and the price of L is $20.

a.Determine Duane's marginal rate of technical substitution.

b.Does this production function exhibit constant, increasing or decreasing returns to scale?Explain.

c.Suppose that Duane wants 12 parrot chicks, how much K and L should be employed to minimize costs?

d.What is the total costof producing 12 parrot chicks?