Final answer:
The marginal revenue when 2000 tables are sold is $55 since the derivative of the revenue function R(x) = 55x - λ/100 with respect to x is 55.
Step-by-step explanation:
The question asks us to find the marginal revenue when 2000 tables are sold. Marginal revenue (MR) is the additional revenue that is gained by selling one more unit. To find the MR, we need to know the change in revenue for a change in the number of units sold. In this case, we have the revenue function R(x) = 55x - λ/100, where λ is some constant. The marginal revenue is the derivative of the revenue function with respect to x, which, in this case, is simply 55 since the derivative of a constant (- λ/100) is zero and the derivative of 55x with respect to x is 55. Therefore, when 2000 tables are sold, the marginal revenue is $55.