An optimization specialist studied a factory's existing processes and work-flow to implemented new equipment and updated production processes. After the new equipment and processes were in place, he studied the production and modeled the productivity with the following function: P(t) = diminishing returns for this factory. The point of diminishing returns is the quantity of input at which the growth rate of production is maximized, i.e. increasing input past this point will result in a decreasing rate of production increase. 2t° + 34.2t2 + 5t, where t is the number of hours worked in a 10-hour shift. Find the point of The point of diminishing returns is at t =

An optimization specialist studied a factory's existing processes and work-flow to implemented new equipment and updated production processes. After the new equipment and processes were in place, he studied the production and modeled the productivity with the following function: P(t) = diminishing returns for this factory. The point of diminishing returns is the quantity of input at which the growth rate of production is maximized, i.e. increasing input past this point will result in a decreasing rate of production increase. 2t° + 34.2t2 + 5t, where t is the number of hours worked in a 10-hour shift. Find the point of The point of diminishing returns is at t =