Final answer:
To find the marginal revenue for 2000 tables, we calculate the derivative of the revenue function R(x) and evaluate it at x=2000, resulting in a marginal revenue of $14 per table.
Step-by-step explanation:
The student's question involves finding the marginal revenue when 2000 tables are sold, given the revenue function R(x)=54x−x²/100. To find the marginal revenue, we need to take the derivative of the revenue function with respect to x, which will give us the rate of change of revenue as x increases. The derivative of R(x) is R'(x)=54 - (2/100)x. Plugging in x=2000 gives us R'(2000)=54 - (2/100)(2000) = 54 - 40 = 14. Therefore, the marginal revenue when 2000 tables are sold is $14 per table.