A firm produces a good in a competitive market at a price of $50 per unit. The firm's marginal private cost of production is given by the equation MPC = 10 + Q, where Q is the quantity produced. The production process generates an external cost, and the marginal external cost (MEC) is given by MEC = 0.5Q. If the firm is currently producing at the market equilibrium quantity, what is the total external cost?

In a market with a negative production externality, the marginal social cost (MSC) of production is greater than the marginal private cost (MPC). A standard graph of this market shows the upward-sloping MPC and MSC curves, along with a downward-sloping demand curve. The market operates at the private equilibrium, where the quantity produced is Q_E and the price is P_E (determined by the intersection of the demand and MPC curves). Which of the following options correctly identifies the area on the graph that represents the total external cost at the production level Q_E?

Calculating Total External Cost from Production

Analyzing the Calculation of Total External Cost

Evaluating a Claim About Total External Cost

Consider a market where the production of a good generates a negative externality. The market is initially in equilibrium, with firms producing at a quantity where the market price equals their marginal private cost (MPC). The marginal external cost (MEC) of production is positive and increases as more of the good is produced. Now, suppose a new production technology is adopted by all firms. This technology reduces the marginal private cost at every level of output but has no effect on the marginal external cost. Assuming the market price for the good remains constant, what is the effect on the total external cost generated by this market?

Consider a market where production creates a negative externality. If the government imposes a per-unit tax on producers exactly equal to the marginal external cost at the privately chosen, profit-maximizing level of output, the total external cost generated by the market will be reduced to zero.

Comparing Total External Costs

Explaining the Graphical Representation of Total External Cost

In a market with a negative production externality, if production is set at the socially optimal level (where marginal social benefit equals marginal social cost), the total external cost generated by production is zero.