6. Suppose a rm is a price-taker in the input and output markets and sells the good it produces at price p. Suppose the rm has production function f(K, L) = 2x/K + 2%. Let the wage rate, 10, and the rental rate, r, be equal to 1. (a) (2) Derive the rm's conditional (longrun) marginal cost and average cost functions. (Note: No need to use the Lagrangian method. Directly use the derived rst order condition (M RTSH m = g.) (b) (1) Does the technology exhibit diseconomies of scale, economies of scale, or neither? (c) (2) What is the rm's entry/ exit price? ((21) (2) Derive the rm's (longrun) supply function. (e) (1) Calculate the rm's price elasticity of supply