The monthly output at the Olek Carpet Mill is
Q(x) = 15,000 + 2x2 units, (40 ≤ x ≤ 60)
where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).
Q'(46) =

The instantaneous rate of change of monthly output with respect to the number of workers is equal to 184.What is the instantaneous rate of change?The instantaneous rate of change can be defined as a type of function that describes the average rate at which a quantity increases or decreases with respect to another quantity at a particular instant.In Mathematics, the instantaneous rate of change can be calculated by taking the derivate of the function with respect to an independent variable. This ultimately implies that, the instantaneous rate of change is equivalent to the change in the derivative value at a particular instant.Taking the derivate of the given function, we have:Q(x) = 15,000 + 2x²Q'(x) = d/dx(15,000) + d/dx(2x²)Q'(x) = 0 + 2x(2)Q'(x) = 4x.At x = 46, we have:Q'(x) = 4(46)Q'(x) = 184.Read more on instantaneous rate of change here: https://brainly.com/question/15579867#SPJ1Complete Question:The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x² units, (40 ≤ x ≤ 60), where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).Q'(46) =