The marginal private costs and the marginal private benefits of a firm producing fuel-efficient cars is represented in the following diagram (show the equilibrium P_market, Q_market). The government would like to increase the amount of fuel-efficient cars to be produced and sold to Q_social. One way that the government can try to increase the production of fuel-efficient cars is by making them cheaper to produce, by subsidizing their production. Show, on the same graph, the amount of subsidy needed to increase the equilibrium quantity of fuel-efficient cars to Q_social. Hint: the government is trying to affect production through costs, not benefits.

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