Final answer:
Company A should not produce the 51st server as the marginal cost of $1,500 exceeds the marginal revenue of $1,200, reducing total profit.
Step-by-step explanation:
Using marginal analysis, Company A should assess whether producing the 51st server adds to their total profit. The marginal cost of the 51st server is obtained by the increase in total cost, which is $51,500 minus $50,000, resulting in $1,500. The marginal revenue from selling the 51st server is $1,200. Since the marginal cost ($1,500) is higher than the marginal revenue ($1,200), producing the 51st server would not add to the company's profit but instead reduce it. In this case, the marginal cost exceeds the marginal benefit, suggesting that Company A should not increase production to the 51st server as it would lead to a decrease in overall profitability.
The company should produce the 51st server because the additional revenue gained from selling it ($1,200) exceeds the additional cost of producing it ($500). According to marginal analysis, a company should continue producing as long as the marginal revenue is greater than the marginal cost, as this will maximize profit. In this case, the marginal benefit (revenue) is $1,200 and the marginal cost is $500, resulting in a positive marginal profit of $700.