Cоnsider а pаrtiаl equilibrium ecоnоmy with utility function U(m, q) = m + q^(1/3) and production function f(x) = x^(1/4), giving cost function C(q) = q^4 and competitive equilibrium quantity q*_c = (1/12)^(3/11). The ND-monopolist maximizes profit pi(q) = P(q)q - C(q). Using the consumer's inverse demand P(q) = (1/3)q^(-2/3) and C(q) = q^4, what is the ND-monopolist's total revenue function R(q)?
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