In: Economics
Consider the production function Q = f(x,y) = xy^2.
(a) Totally differentiate this production function.
(b) While holding output constant, solve for dy/dx. What is the economic interpretation of this term?
(c) Differentiate once more with respect to x solve for d dx(dy/dx). What is the economic interpretation of this term?
(d) Evaluate the marginal products. Are they positive? Diminishing?
(e) Evaluate the convexity of isoquant. Does it or does it not contradict with the properties found in previous part?
(f) Solve for the equation of isoquant directly. Then, repeat
parts b) and c) using the equation of isoquant.