Production.Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be modeled by the production function Find the number of hours before the rate of production is maximized.That is,find the point of diminishing returns.
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Question

​Production.Suppose that the total number of units produced by a worker in t hours of an 8-hour shift can be modeled by the production function  Find the number of hours before the rate of production is maximized.That is,find the point of diminishing returns. ​
A) ​ 
B) ​ 
C) ​ 
D) ​ 
E) ​

Quizplus · Accepted Answer

To find the point of diminishing returns, we need to find the maximum point of the production function. We can do this by taking the derivative of the production function with respect to time (hours) and setting it equal to zero:
dP/dt = 240t/(t^2+36)^(4/3) = 0

Solving for t, we get t = 6. Therefore, the number of hours before the rate of production is maximized is 6.

​Production

Production