Six street lamps are the optimum quantity from a social standpoint.
Keep in mind that as street lights are considered public commodities, you should sum up each person's marginal benefit for each street light. The ideal number of street lamps must be six since the social marginal benefit of the sixth bulb is equal to the marginal cost of the lamps ($250).
The marginal benefit of the first lamp for a group of only five town residents who are prepared to donate toward the purchase of lamps is only 5 x $30 = $150. The group will not purchase any lamps because this is less than the marginal cost of them.
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