Final answer:
The maximum profit of the company based on the examples provided would be $90 at an output between 70 and 80, which is not reflected in the multiple-choice options given. Additional information is required to match the options provided.
Step-by-step explanation:
To determine the maximum profit of the company based on the provided cost and revenue functions, we must identify the output level at which total revenue exceeds total costs by the largest amount. In this scenario, the output quantity is specified as 5 units, with a stated profit of $40. However, this does not align with the provided revenue of $125 (5 units at $25/unit) and costs of $130, which would actually result in a loss of $5. The example also mentions that maximum profit occurs at an output between 70 and 80, with a profit of $90. Therefore, the maximum profit is not among the options A) $5,000 B) $10,000 C) $15,000 D) $20,000, as the context provided does not support these figures.
Moreover, the example indicates a scenario where the firm is profitable at an output of 40 units, with a total revenue of $640 and total costs of $580, yielding a profit of $60. However, this still does not align with any of the choices given. To accurately answer the original question, additional data from the relevant cost and revenue tables would be required, as the highest profit level mentioned in the information is $90, not reflected in the multiple-choice options.