Question: 3. Consider the production function f(x) = 100x x^2. (a) Is this production function concave? (b) For what values of x is the marginal product

3. Consider the production function f(x) = 100x x^2.

(a) Is this production function concave?

(b) For what values of x is the marginal product of x positive?

(c) Since the price of x and the price of y must be positive, argue that a producer with this production function will only choose input levels between 0 and 50?

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