The production function for fragles is f (K, L) = L/2 + √ K, where L is the amount of labor used and K the amount of capital used.
(a) There are (constant, increasing, decreasing) _______ returns to scale. The marginal product of labor is _______ (constant, increasing, decreasing).
(b) In the short run, capital is fixed at 4 units. Labor is variable. On the graph below, use blue ink to draw output as a function of labor input in the short run. Use red ink to draw the marginal product of labor as a function of labor input in the short run. The average product of labor is defined as total output divided by the amount of labor input. Use black ink to draw the average product of labor as a function of labor input in the short run.