For each of the following production functions Q = f(K,L), find the marginal productivity with respect to K and L a) Q = 5KL – 2K² – 2L² at K = 1 and L = 1 %3D - 1 b) Q = 0.03K³ – 0.4KL+ 0.5L2 at K = 8 and L = 4

QUESTION 1 For the production function Qs = K0.6L0.7 find the returns to scale, recall that a doubling of inputs that doulbes output is a CONSTANT returns to scale = 1.0 Please enter your response as a positive number with 1 decimal and 5/4 rounding (e.g. 1.15 = 1.2, 1.14 = 1.1).

Questions 3. For each of the following production functions, determine whether it exhibits increasing, constant or decreasing returns to scale:   a) Q = K + L     b) Q = L + L/K   c) Q = Min(2K,2L)     d) Q = (L.5 )(K.5)

The function Q = L0.3 + K0.7  is an example of _____ returns to scale of production.

Show that the two-input Cobb-Douglas production function (attached) has decreasing return in scale (DRS), constant return of scale (CRS) or increasing return of scale (ITS) depending on if alpha1 + alpha2 is smaller than, equal, or larger than 1.

e) Do the following production functions exhibit increasing, constant, or decreasing returns to scale: i) q = L +3K+2 ii) q = LK iii) q = 0.4K + 3L:

Show that the following production function has constant returns to scale. It can be through a particular example or by demonstrating the general case. 1/21/2 y = 5x;"x;2

oj Consider the Cobb-Douglas production function P(L, K) = 6L0.6 K04_ Find the %3D total units of production when 19 units of labor and 12 units of capital are invested.

Does this production function q = 9K0.8L0.1 exhibits [increasing return to scale, constant return to scale, decreasing constant return to scale]

A firm’s production function is - y = f(X1, X2)= X11/2 + X1X2 , Where X1≥0, X2≥0 1. Find its returns to scale when X1=1, and X2=1