1. There is one monopolist that utilizes one input, say labor, L, which he acquires at the fixed cost (per unit is $8) to produce the output, Q. In addition, both demand and production functions are p = 60 - 2q and q = 4√L, respectively. If profit maximization for this monopolist is proven achievable, please solve the values of p, q, and L. (25%)

2. Assuming a competitive market in the U.S., together with a supply function: $ q{s} = 400p - 400 $ and a demand function: $ q{d} = 2400 - 400p $. When the equilibrium price and quantity are reached, what are equilibrium price and quantity? (10%). Now due to Trump's reciprocal tariff policy, the authorities impose a $4 per-unit tax to be collected from sellers. We denote $ P{c} $ as the price paid by consumers after imposed tax and $ P{s} $ as the price received by producers after tax. Please solve the after-tax equilibrium quantity ($ q^{} $) and equilibrium prices for both consumers $ P{c}^{} $ and sellers $ P{s}^{*} $. (15%)

相關申論題

相關試卷