Final answer:
To calculate the firm's profits with price discrimination, we need to know the quantity sold at each price and the cost per unit. The provided information from the reference does not supply these figures for the prices of $75 and $35, therefore, we cannot determine the exact profit. In general, with perfect price discrimination, a monopolist can capture all consumer surplus, leading to maximized profits.
Step-by-step explanation:
To calculate the firm's profits when it charges different prices to two groups through price discrimination, you need information about the quantity sold at each price besides the prices themselves. Profits equal total revenue minus total costs. Since the exact quantities sold at each price point are not provided in the question, we cannot calculate the precise profit figure. In the example provided in the reference material (Figure 9.6), total revenue calculated by 5 units at $800 each is $4000, and total costs calculated by quantity of 5 units at $330 each are $1650, resulting in profits of $2350. To apply this to the student's question, we'd need similar data on the quantities sold at each price of $75 and $35 and the cost per unit.
If we assume perfect price discrimination, the monopolist captures all consumer surplus, which means the profit is maximized as each consumer pays exactly their willingness to pay. However, without quantities or cost data, we cannot give a precise answer to the profit calculation for the student's scenario.