Final answer:
The question involves determining the optimal production quantity for a pharmaceutical firm to maximize its profits within a given production capacity.
Step-by-step explanation:
The question pertains to the profit maximization of a pharmaceutical firm that is trying to determine the optimal number of antibiotic units to manufacture and sell given a production capacity constraint. The firm sells each unit for $200, and it must decide how many units to produce, up to a maximum of 30,000 units, to maximize profits. To address this, one would need to know the production costs associated with different levels of output, which is missing in the question provided. The general approach involves calculating total revenue (by multiplying the number of units sold with the unit price) and total cost (fixed costs plus variable costs) for each possible output level, and then determining the output level where profit (total revenue minus total cost) is highest.