A price-searcher firm wants to try a two-part tariff. The firm's marginal cost is a constant$3and it will charge that as the per unit price. To complicate things, the firm has two different groups of consumers. There are50consumers who have a demand function given by:qD=18-0.5P. There are also20consumers who have a demand function given by:qD=18-0.5P.

If the firm charges a fee that is too high, then it may lose all of the customers of the low-willingness-to-pay group. That could be bad for their producer surplus, but it might also be worth it depending on the number of consumers lost and the size of the higher fee.

Determine whether the producer surplus for the firm is greater when it charges a higher fee and has fewer customers or charge the lower fee and have more customers. Then enter the dollar amount of producer surplus.